## AC circuit for circuit with only resistor:

Let us take an AC circuit has only pure ohmic resistance ‘R’ & the applied voltage e = E_{m} sin ωt.

Now, the alternating current, i = e/R = E_{m} sin ωt/R

The value of the alternating current ‘i’ is max^{m}. When sin ωt = 1

So, we can write = I_{m} = E_{m} / R

Therefore, the alternating current and alternating voltage in a pure resistance circuit are in phase and the angular difference between current & voltage vector is zero.