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October 2004, Issue 171

Test Your EQ

Answer 2—This is the “modified Howland current source,” and it has a number of important advantages over the original circuit. Its derivation is similar. Again, start by writing down the equations for the voltages at the inputs of the op-amp, using superposition to account for the voltage sources:

 

Set them equal to each other and isolate the quantity VA – VB, using the same trick as before:

 

Note that if R3 >> R5, the current through R5 and the load are essentially identical, and are: 

 

Combining the last two equations gives you: 

 

Very often, R2 = R3, so this reduces to the following: 

 

Contributor: David Tweed

   

E-mail eq@circuitcellar.com with questions or comments.

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