October
2004, Issue 171
Test Your
EQ
|
Answer
2This 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