A charge of 1 C passes through a circuit every 2 s. If the circuit can generate 1 W of power, what is the circuit's resistance?

Nov 25, 2016

$\text{Resistance " = 4" } \Omega$

Explanation:

(1C)/(2s)(1 " Ampere")/(1C/s) = 0.5 " Amperes"

$\text{Power (in Watts)" = ("Current (in Amperes)")^2 xx "Resistance (in Ohms)}$

The abbreviation for, Amperes is A, Watts is W, and Ohms is $\Omega$. Substitute the known values:

$1 \text{ W" = (0.5" A")^2xx " Resistance}$

$\text{Resistance " = 4" } \Omega$