A charge of $12 C$ $12 C$ passes through a circuit every $9 s$ $9 s$ . If the circuit can generate $6 W$ $6 W$ of power, what is the circuit's resistance?

Question

1679 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-07T14:43:32

The resistance is $=3.375 Omega$

The charge is

$Q=It$

the current is $I=Q/t$

The power is

$P=UI$

But

According to Ohm's Law

$U=RI$

So,

the power is $P=RI*I=RI^2$

the resistance is $R=P/I^2=P/(Q/t)^2$

$=6/(12/9)^2$

$=6*81/144$

$=3.375 Omega$

A charge of 12 C12C12 C passes through a circuit every 9 s9s9 s. If the circuit can generate 6 W6W6 W of power, what is the circuit's resistance?