# If a current of 5 A passing through a circuit generates 100 W of power, what is the resistance of the circuit?

Mar 5, 2018

$4 \Omega$

#### Explanation:

We know, powe $P$ generated across a resistor of resistance $R$ due to current flowing $I$ are related as,

$P = {I}^{2} R$

given, $I = 5 A , P = 100 W$

So, $R = \frac{P}{I} ^ 2 = \frac{100}{5} ^ 2 = \frac{100}{25} = 4 \Omega$