A charge of 16 C passes through a circuit every 12 s. If the circuit can generate 36 W of power, what is the circuit's resistance?

1 Answer
Apr 27, 2018

The circuit resistance is $= 20.25 \Omega$

Explanation:

Apply the equation

$\text{Charge"(C)}$ $= \text{Current(A)"xx"time (t)}$

The charge is $Q = 16 C$

The time is $t = 12 s$

The current is $I = \frac{16}{12} = \frac{4}{3} A$

Ohm's Law states that

$U = R I$

The power is

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

The power is $P = 36 W$

The resistance is

$R = \frac{P}{{I}^{2}} = \frac{36}{\frac{4}{3}} ^ 2 = 20.25 \Omega$