# A charge of 35 C passes through a circuit every 5 s. If the circuit can generate 98 W of power, what is the circuit's resistance?

Dec 29, 2016

The circuit's resistance is $2$ ohms.

#### Explanation:

As a charge of $35 C$ passes through a circuit every $5 s$

the current is $\frac{35}{5} = 7$ amperes.

Power of a resistance $R$ through which a current of $I$ amperes is passing is ${I}^{2} \times R$ watts.

Hence ${7}^{2} \times R = 98$

and $I = \frac{98}{49} = 2$ ohms.