A charge of $6 C$ $6 C$ passes through a circuit every $3 s$ $3 s$ . If the circuit can generate $72 W$ $72 W$ of power, what is the circuit's resistance?

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Answer 1 · 2017-06-03T05:51:48

The resistance is $=18Omega$

We apply the equation

$Q=It$

The charge is $Q=6C$

The time is $t=3s$

The current is $I=Q/t=6/3=2A$

The power is

$P=UI$

But according to Ohm's Law

$U=RI$

So,

$P=RI*I=RI^2$

So,

the resistance is $R=P/I^2$

$=72/(2)^2=18Omega$

A charge of 6 C6C6 C passes through a circuit every 3 s3s3 s. If the circuit can generate 72 W72W72 W of power, what is the circuit's resistance?