# When both the current and voltage in a circuit are doubled, what happens to resistance and power?

Feb 23, 2016

If current is $I$ and voltage is $V$, then resistance $R = \frac{V}{I}$ and power is given by $P = V \cdot I$.
As such when both the current and voltage in a circuit are doubled, resistance becomes $R = \frac{2 V}{2 I} = \frac{V}{I}$ and hence remains same.
However, power becomes P=2V*2!-4V*I i.e. power becomes four times.