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You are here: Home / Electronics Tutorial / Transistor Relay Driver Circuit with Formula and Calculations

Transistor Relay Driver Circuit with Formula and Calculations

Last Updated on March 18, 2021 by Swagatam 67 Comments

In this article we will comprehensively study a transistor relay driver circuit and learn how to design its configuration by calculating the parameters through formulas.

Importance of Relay

Relays are one of the most important components in electronic circuits. Especially in circuits where high power transfer or mains AC load switching is involved, relays play the major role in implementing the operations.

Here we will learn how to correctly operate a relay using a transistor and apply the design in electronic system for switching a connected load without issues.


For an in-depth study regarding how a relay works please read this article


A relay, as we all know is an electromechanical device which is used in the form of a switch.

It is responsible for switching an external load connected to its contacts in response to a relatively smaller electrical power applied across an associated coil.

Basically the coil is wound over an iron core, when a small DC is applied to the coil, it energizes and behaves like an electromagnet.

A spring loaded contact mechanism placed at a close proximity to the coil immediately responds and gets attracted toward the energized coil electromagnet force. In the course the contact connects one of its pair together and disconnects an complementary pair associated with it.

The reverse happens when the DC is switched OFF to the coil and the contacts return to its original position, connecting the previous set of complementary contacts and the cycle may be repeated as many times as possible.

An electronic circuit will normally need a relay driver using a transistor circuit stage in order to converter it’s low power DC switching output into a high power mains AC switching output.

However the low level signals from an electronic which may be derived from an IC stage or a low current transistor stage may be be pretty incapable of driving a relay directly. Because, a relay requires relatively higher currents which may be normally not available from an IC source or a low current transistor stage.

In order to overcome the above issue, a relay control stage becomes imperative for all electronic circuits which need this service.

A relay driver is nothing but an additional transistor stage attached with the relay which needs to be operated. The transistor is typically and solely employed for operating the relay in response to the commands received from the preceding control stage.

Circuit Diagram

Transistor Relay Driver Circuit with Formula and Calculations

Referring to the above circuit diagram we see that the configuration only involves a transistor, a base resistor and the relay with a flyback diode.

However there are a few complexities that need to be settled before the design could be used for the required functions:

Since the base drive voltage to transistor is the major source for controlling the relay operations, it needs to be perfectly calculated for optimal results.

The base resistor value id directly proportional to the current across the collector/emitter leads of the transistor or in other words, the relay coil current, which is the collector load of the transistor, becomes one of the main factors, and directly influences the value of the base resistor of the transistor.

Calculation Formula

The basic formula for calculating the base resistor of the transistor is given by the expression:

R = (Us - 0.6)hFE / Relay Coil Current,

  • Where R = base resistor of the transistor,
  • Us = Source or the trigger voltage to the base resistor,
  • hFE = Forward current gain of the transistor,

The last expression which is the “relay current” may be found out by solving the following Ohm’s law:

I = Us/R, where I is the required relay current, Us is the supply voltage to the relay.

Practical Application

The relay coil resistance can be easily identified by using a multimeter.

Us will also be a known parameter.

Suppose the supply Us is = 12 V, the coil resistance is 400 Ohms, then

Relay current I = 12/400 = 0.03 or 30 mA.

Also the Hfe of any standard low signal transistor may be assumed to be around 150.

Applying the above values in the actual equation we get,

R = (Ub - 0.6) × Hfe ÷ Relay Current

R = (12 – 0.6)150/0.03

= 57,000 Ohms or 57 K, the closest value being 56 K.

The diode connected across the relay coil though is no way related with the above calculation, it still cannot be ignored.

The diode makes sure that the reverse EMF generated from the relay coil is shorted through it, and not dumped into the transistor. Without this diode, the back EMF would try to find a path through the collector emitter of the transistor and in the course damage the transistor permanently, within seconds.

Relay driver Circuit using PNP BJT

A transistor works best as a switch when it is connected with a common emitter configuration, meaning the emitter of the BJT must be always connected directly with "ground" line. Here the "ground" refers to the negative line for an NPN and the positive line for a PNP BJT.

If an NPN is used in the circuit, the load must be connected with the collector, which will allow it to be switched ON/OFF by switching its negative line ON/OFF. This is already explained in the above discussions.

If you wish to switch the positive line ON/OFF, in that case you will have to use a PNP BJT for driving the relay. Here the relay may be connected across the negative line of the supply and the collector of the PNP. Please see the figure below for the exact configuration.

PNP relay driver circuit

However a PNP will need a negative trigger at its base for the triggering, so in case you wish to implement the system with a positive trigger then you may have to use a combination of both NPN and PNP BJTs as shown in the following figure:

If you have any specific query regarding the above concept, please feel free to express them through the comments for getting quick replies.

Power Saver Relay Driver

Normally, the supply voltage for a operating a relay is dimensioned to ensure that the relay is pulled-in optimally. However, the required retaining voltage is typically much lower.

This is usually not even half the pull-in voltage. As a result the majority of relays can work without problems even at this reduced voltage, but only when it is ensured that at the initial activation voltage adequately high for the pull-in.

The circuit presented below may be ideal for relays specified to work with 100 mA or lower, and at supply voltage below 25 V. By using this circuit two advantages are assured: first of all the relay functions using substantially low current; at 50 % less than the rated supply voltage, and current reduced to around 1/4 of the actual rating of the relay! Secondly, relays with higher voltage rating could be used with lower supply ranges. (For instance a 9 V relay that is required to operate with 5 V from a TTL supply).

operating high voltage relay with low supply

The circuit can be seen wired to a supply voltage capable of holding the relay perfectly. During the time S1 is open, C1 gets charged via R2 upto the supply voltage. R1 is coupled to the + terminal and T1 remains switched OFF. The moment S1 is presed, the T1 base gets connected to supply common through R1, so that it switches ON and drives the relay.

The positive terminal of C1 connects to the common ground through the switch S1. Considering that this capacitor initially had been charged to the supply voltage its -terminal at this point becomes negative. The voltage across the relay coil therefore reaches two times more than the supply voltage, and this pull in the relay. Switch S1 could be, certainly, be substituted with a any general purpose transistor which can be switched on or off as required.

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About Swagatam

I am an electronic engineer (dipIETE ), hobbyist, inventor, schematic/PCB designer, manufacturer. I am also the founder of the website: https://www.homemade-circuits.com/, where I love sharing my innovative circuit ideas and tutorials.
If you have any circuit related query, you may interact through comments, I'll be most happy to help!

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  1. Search Related Posts for Commenting

  2. Usama Tariq says

    Hi,
    Kindly tell me how you calculated 68K resistance in an example in which you are using both npn and pnp transistors to operate relay.

    Reply
    • Swagatam says

      I did not calculate it, selected it randomly. To calculate it you can use the same formula as use for the relay coil, but in this case the load are two 1k resistors at the collector of NPN. However, you can ignore the upper 1K and consider the current only through the lower 1K, in the formula.

      Reply
  3. Rosario says

    Goodmorning Sir. You say “If you wish to switch the positive line ON/OFF…”, why would I want to use the positive line? Thanks

    Reply
    • Swagatam says

      If you have a PNP transistor and want to make a relay driver with it….then…

      Reply
      • rosario says

        Obvious. Sorry. Thanks

        Reply
        • Swagatam says

          No problem!

          Reply
  4. Ron says

    In the transistor driver description at https://www.homemade-circuits.com/how-to-make-relay-driver-stage-in/

    I am unclear how you derived the 10K ohm base resistor in the basic PNP relay driver circuit with a 12v supply and a negative trigger. Can you elaborate a little on that formula?

    Thanks

    Reply
    • Swagatam says

      Using the formula will identically give you the 56k value for the PNP driver as well, for a 400 ohm relay, however, from my practical experience I have seen that a 10k usually works good without any dissipation on the BJT, along with a powerful drive for the relay contacts.

      Reply
      • Ron says

        Ok, I was wanting to adapt this to drive a solenoid valve with a 24v supply and using a switched ground trigger, and the 10K in the example was confusing me… Thanks for the quick answer:)

        Reply
        • Swagatam says

          You are welcome!

          Reply
  5. Eshkariel says

    Suppose I have a 12v Relay 400 ohms
    BC547
    Triggering Voltage=5v (from arduino uno)
    How do I determine the hfe?
    Thanks for the feedback.

    Reply
    • Swagatam says

      hFE can be determined from the datasheet of the transistor

      Reply
      • Eshkariel says

        I mean its min is 110 and max is 800…which do I choose?

        Reply
        • Swagatam says

          you can take any intermediate value, 300 to 500

          Reply
  6. Philip says

    Hi Swagatam, I have a query please. I am planning to use 433MHz Tx Rx pair ( single channel) to energise a 12v relay, which will require a relay driver as in your example above. For the simple BC557 circuit I have calculated the theoretical resistor value as 41K so I would expect to use 47K. However the Rx will generate a High output which will require the 2 stage example using a BC557 & BC547 and I’m confused about how to calculate the 3 resistor values, can you help please?

    Reply
    • Swagatam says

      Hi Philip, the resistor values for a low DC circuit is never critical, as the transistor have a wide tolerance range for DCs. If the formula gives 41k resistor, then you must use a lower value resistor for the relay driver transistors base, may be a 33 K will be fine.

      This 33 K will now become the collector resistance for the BC557, so you can apply the same formula and principle for calculating the BC557 base resistor…..however, again this is not critical and you can simply assign another 33K resistor for the BC557 base also.

      Reply
      • Philip says

        Thanks very much for your swift response and advice. I’m just waiting for components to be delivered and I’ll give it a try.

        Reply
        • Swagatam says

          No problem!

          Reply
  7. Edus says

    hi:
    Thanks for sharing. Your posts have been very useful so far. But now I have this need: I have a shunt wich delivers between 50 to 200mV and I need to switch on a relay (12v) as soon voltage appears in the shunt and shut it off about 15/20 secs after it senses no voltage. I was thinking in using a 741 but I understand that a couple of transistors could do the job.
    Is there some circuit that I can reasemble to make the task?
    Thanks for your help.

    Ed.

    Reply
    • Swagatam says

      I am glad my posts are helping you!
      You can try the NPN version of the current limiter from the following post

      https://www.homemade-circuits.com/simple-current-sensor-circuit-modules/

      You can connect a relay with the collector of the transistor along with a free wheeling diode.
      However a due to lower gain of the transistor 0.2V may not be sufficient to trigger the transistor. Therefore to increase the gain of the transistor please upgrade the BC547 into a Darlington transistor by adding another BC547 to it.

      Reply
      • Edus says

        Thanks for your help..

        Reply
  8. Raj says

    Hi Swagatam,
    I have a different configuration circuit that needs resistor calculations for the relay.
    I have no knowledge of electronics.
    Please can I talk to you via email?
    I can send you the diagram through it.

    Kind regards

    Reply
    • Swagatam says

      Hi Raj,

      you can upload it to any free image hosting side such as this https://imgbb.com/ and provide the link through comments, I’ll try to solve it for you.

      Reply
      • RAJ says

        Hi Swagatam

        https://ibb.co/C040fFG
        The above, how is the step formula to calculate the relay driver resistor?
        And how can I incorporate delay on switching?

        Reply
        • Swagatam says

          Hi Raj, no need of calculating the relay coil for this design, since the supply is a low current…so the relay circuit needs no change.

          Reply
        • Raj says

          Hi Swagatam,
          How do I place a capacitor to have a delay on?

          Reply
          • Swagatam says

            You can put a capacitor in series with a 1N4148 diode between base and ground of VT1. Diode cathode will go to base, anode to capacitor positive, capacitor negative to ground. Also put a 100K in parallel with the capacitor leads. The value of the capacitor will depend on the delay required.

            Reply
          • Raj says

            Thank you Swagatam,
            I will try that

            Reply
    • Raj says

      Hi Swagatam

      https://pdfhost.io/v/5VjsoTEBm_AV_soft_startpdf.pdf

      The above, how to calculate the relay driver resistor please?

      Thank you

      Reply
      • Swagatam says

        Hi Raj, for this diagram the formula is the same as explained in the above article.

        Reply
      • Raj says

        Which resistor to change?
        R5 or R6 ?

        Reply
        • Swagatam says

          Don’t change R6, R5, let them be as they are.
          Instead connect another resistor in series with the transistor base. The value can be calculated using the same formula as explained above.

          For Ub or the supply use 6V, if the input is 9V.

          This 6V is created by the R5/R6 network at the base of the transistor.

          Reply
        • Raj says

          Hi Swagatam,
          Please see link https://ibb.co/jw3CnCx
          Excuse me for troubling you. I have decided to use this circuit for my final project
          since it is for audio purpose. What I need is also an immediate turn off relay once power off.
          I have tried to implement your calculation for the value of R1 and R2.
          But I cannot get it. Am using DC 28V after rectification.
          Please can you help me show how to calculate it? I just need to understand how they
          get resistor values for 40Vdc and so on.

          Thank you so much

          Reply
          • Swagatam says

            Hi Raj, the supply voltage should be ideally identical to the relay coil voltage rating otherwise the relay may dossipate the extra volatgae through slight heating. Since the base of Q4 is clamped with a 12V zener, the R1 can be calculated in the following manner

            R1 = (12 – 0.7) x 200 / relay coil current

            Although R2 is not critical, it can be calculated using Ohm’s law

            R2 = (28 – 24) / Relay coil current

            Reply
            • Raj says

              Hi Swagatam
              The coil is 24/650 = 0.037A
              For R1 ,
              (12-0.7)200 /0.037 = 61k
              But at the table is 2k7 for 22vdc. Please can you correct me?

              For R2, example
              40-24/0.037 = 432R
              In the table is stated 470R. Ok it is nearest figure.

            • Swagatam says

              Hi Raj, as I have mentioned somewhere in the article, the value of the resistor is not critical. Lower resistor will cause the relay to hold more strongly, and higher resistor will cause lower force. However 2.7K is very low and is incorrect value. This may cause the transistor and R2 to dissipate some heat and waste power.

              The calculated value is the accurate value but will require the input supply to be not less than 24V and relay resistance not higher than 650 ohms

              A 10K will be quite fine, and will allow the relay work strongly even if the input supply is lower than 24V, or the coil resistance is higher than 700 ohms, and also keep the transistor and R2 cool

  9. Given Machangu says

    Hello sir,thanks for the project. I have a similar one which needs your help. l want to design an incubator circuit using an BC547 npn transistor,an NTC thermistor and a relay. My problem is on how to get the values of resistors to bias my transistor and to control temperature at 37°C. Please help,with calculations involved.

    Reply
    • Swagatam says

      Hello Given, please tell me how the transistor, NTC and the relay are configured? And also tell regarding the NTC value.

      Reply
      • Given Machangu says

        the transistor is configured in common emitter configuration and is biased using a voltage divider which comprises of an NTC thermistor and a variable resistor.There is also a base resistor.On the collector is connected a relay and a flywheel diode.Vcc=12VDc. l want to control temperature at 37°C,at which temperature my NTC thermistor resistance will be close to 6K.please help with the calculations of resistors’ values

        Reply
        • Swagatam says

          The circuit is very elementary and crude, so accurate results cannot be expected. If the relay coil is 400 ohm, you can use a 1K resistor for the transistor base, assuming the preset is at the ground side, keep its slider at the ground level. Then apply 37 C on the NTC and adjust the preset so that the relay just trips ON.

          Add a 100uF capacitor in parallel with the relay coil

          Reply
  10. Viswanathan Ramakrishnan says

    Dear Sri. Swagatam Majumdar,
    After a very long period I am posting this query to you. My request to you is that How I can incorporate a single transistor and photo diode in this circuit so that I can operate as a remote relay circuit. Your explanation on “How to design a relay energizing Circuit” is an eye opener to me. Thanks for your posting. Please reply to to the query.

    Reply
    • Swagatam says

      Thanks Vishwanathan, you can try the first circuit from the following article:

      https://www.homemade-circuits.com/tv-remote-control-tester-circuits/

      Just replace the LED/resistor with relay coil, and add a diode across the relay coil, with cathode of the diode connected to the transistor collector.

      A single transistor may not work efficiently unless the transistor is an Darlington type.

      Reply
  11. Rajratanwankhade says

    Hello sir, is it required to have a circuit for the operation of relay. I have a relay which has a triggering voltage of 12v, so please help help me with that.

    Thanking you

    Reply
    • Swagatam says

      Hello Rajratan, if you want to operate the relay through some external triggering then you will require the transistor relay circuit explained in the above article. If you want only to test the relay or want to operate it without an external trigger then you can join the relay directly with the available DC supply.

      Reply
  12. ketan says

    Ketan Dhruv
    Dear sir,
    Which parameters should I have to take in account for same family but different functions digital ICS matching?

    Reply
    • Swag says

      Ketan, sorry I could not understand your question.

      Reply
  13. ketan says

    Hello sir,
    I am ketan and my question is:
    I want to use 4013B and 74f74 for my different projects,as a trigger of relay driver circuits so which parameters of d flip-flop ICs should I take into account? for calculate output current of the ICs to be able to change the state of driver transistor to toggle as switch?

    Reply
    • Swag says

      Hello Ketan, the calculations are already explained in the above article, you can apply them in the following example applications

      https://www.homemade-circuits.com/make-this-easiest-flip-flop-circuit/

      https://www.homemade-circuits.com/build-these-simple-flip-flop-circuits/

      Reply
  14. Hamid Hussain says

    Thanks for your explanation sir if the transistor base is connected to uncalculated base resistor what will be happen and is there any transistor driver to boost up current what’s should the main concern about choosing a transistor if I have a requirement is 30 to 100ma at collector of transistor what are main points should I noted in the datasheet and I have used a1015 PNP in the circuit but in the tsop 1738 its not working but bc557 a same PNP transistor is driving the led whats the reasonss

    Reply
    • Swag says

      Hi Hamid, you can connect by approximately judging the resistor values in circuits, it is not critical unless the value is referenced to some other dimension.

      In relay circuits I normally use a 10K resistor as the transistor base resistor for all relays whose coil resistance is between 200 ohm and 400 ohms. If you calculate the transistor base resistor for a 400 ohm relay load, you will find it to be 56K, but I use 10k which does not make any difference expect a some mA more dissipation or wastage by the transistor and the relay.

      Choosing transistor is also not so crucial, below 50mA load you can use BC547, and at 100mA and above you can choose 2N2222.

      You have to basically consider the collector/emitter voltage and current rating of the transistor from its datasheet

      Reply
  15. Sriram Kp says

    Hi, will the above formula appilcable for PNP like BC557B and S8550?
    Because when I implemented the above formulae for BC557B with hFE=250, the result am getting is 95000 (95K). If the formula is not applicable for PNP means how to calculate the base resistor value for PNP?
    Kindly help.

    Reply
    • Swagatam says

      Hi, the above formula is applicable for both NPN and PNP. the load current must be correctly estimated for getting the correct base resistor value. If you have calculated everything correctly and getting 95K then it may be the right value

      Reply
  16. Sriram Kp says

    Hi, If I need to use two relays with single transistor, Can I change 800 instead of 400 in the above formula? So finally I suppose to use 110K resistor with BC547? Correct me if I am wrong.
    Thanks

    Reply
    • Swagatam says

      Hi, since the two relays are in parallel will make the the result as 200 ohms not 800.

      so please use 200 in the formula.

      Reply
  17. fahad alsharari says

    Hi sir.

    please which relay should I use to get the right temp. between 45 and 50 deg. in this circuit ?
    And which components should I adjust.
    If you give me the right values, it would be really appreciate it.

    Reply
    • Swagatam says

      Hi Fahad, which circuit are you referring to?

      a relay can not be responsible for controlling temperature, it will only switch the load ON/OFF….the actual control would be done by the sensor and the connected circuit which will switch the relay ON/OFF according to the temperature levels.

      Reply
  18. SivaraJ P says

    Dear sir, I need a dry run preventer cicuit for my open well, if the water goes down near to the submesible water bump the circuit will trip the motor if we want to run the motor we need to release the relay trip manually and the relay run through the no volt coil on the starter and also the circuit will not use of ic, please help me,

    Reply
    • Swagatam says

      Dear Sivaraj, I have one related circuit posted here, see whether it helps or not:

      https://homemade-circuits.com/2013/07/underground-water-pump-motor-dry-run.html

      Reply
  19. Sriram Kp says

    Hai, what is the minimum voltage required to activate a normal 12volt relay??
    suppose If I give 10 or 11 volt means, will the relay get activate??

    Reply
    • Swagatam says

      around 11v to activate and 8V to deactivate.

      Reply
    • Sriram Kp says

      Thanks. I have some doubts.
      1. suppose for a BC547 relay driver, how to activate the relay after 5 sec of switched ON the circuit?
      2. and for a BC557 relay driver, how to activate the relay after 5 sec of switched ON the circuit?
      3. I connected two 12v relays in collector of one 8550. Will the 10k resistor fine as base resistor?

      Reply
    • Swagatam says

      connect a 1000uF capacitor across base/ground and a 1N4007 between emitter and ground for NPN….and for PNP the capacitor should be across base and positive and the diode between positive and emitter.

      yes 10k would be OK, although it can be solved using the formula as suggested above

      Reply
  20. MUJAHID SHAH says

    I went through the post suggested by you so I got the formula to determine the value of a resistor to the base of a transistor thank you
    can we use two transistors parallel to handle higher current drawing load.?

    Reply
    • Swagatam says

      yes we can use two transistors in parallel, but make sure to connect a small value resistor in series with the emitters of the transistors

      Reply
  21. Anish says

    Sir, Can u suggest a simulator software which is able to do some testing, thanks.

    Reply
    • Swagatam says

      sorry, I have never used a simulator software, so can't suggest about them.

      Reply
      • Mahmut ASLAN says

        Formüllerinn tamamı yanlış
        V=I*R
        12-0.6=4/1000*R
        R=2850

        Reply



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