Answer 5

Assuming the inverting terminal to be at virtual ground, we can write the following equations:

V1/R = i1

V2/R = i2

i = i1 + i2

The current through a capacitor is given by

i = –C dVo/dt

Combining these, we get

i = i1 + i2 = V1/R + V2/R = –C dVo/dt

Rearranging and integrating the above equation gives us

Vo =

where Vo(0) is the initial voltage on the capacitor.

Therefore, the above circuit is an summing integrator.

Contributor: Naveen PN

Published: September-2002