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

Question

1362 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-25T19:16:59

$"Resistance " = 4" "Omega$

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

$"Power (in Watts)" = ("Current (in Amperes)")^2 xx "Resistance (in Ohms)"$

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

$1" W" = (0.5" A")^2xx " Resistance"$

$"Resistance " = 4" "Omega$

A charge of 1 C1C1 C passes through a circuit every 2 s2s2 s. If the circuit can generate 1 W1W1 W of power, what is the circuit's resistance?