# Diffentiation and integration in electronic circuit

1. Jul 11, 2012

### amaresh92

greetings,

how a inductor and capacitor can perform differentiation and integration respectively?
any help would be appreciated .

2. Jul 11, 2012

### truesearch

Do you know that for an inductor the induced voltage is proportional to the rate of change of current?
Usually written as E = L.di/dt. This means that E is proportional to the gradient of an i against t graph. This is a basic picture of differentiation.
For a capacitor the charge on a capacitor is the product of current x time. This means that charge is proportional to the area under a graph of i against t. This is the basis of integration.
The voltage across a capacitor is proportional to the charge (V = Q/C) and this is usually written as V =1/C ∫i.dt