# A.C through pure resistor

## A.C through pure resistor

- Figure below shows the circuit containing alternating voltage source V=V
_{0}sinω connected to a resistor of resistance R

- Let at any instant of time ,i is the current in the circuit ,then from Kirchhoff’s loop rule

V_{0}sinωtRi

or

i=(V_{0}/R)sinωt

=i_{0}sinωt ----(8)

Where,

i_{0}=V_{0}/R ----(9)

- From instantaneous values of alternating voltage and current ,we can conclude that in pure resistor ,the current is always in phase with applied voltage

- Their relationship is graphically represented as