A charge of $35$ $35$ $C$ $C$ passes through a circuit every $5$ $5$ $s$ $s$ . If the circuit can generate $7$ $7$ $W$ $W$ of power, what is the circuit's resistance?

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Answer 1 · 2016-02-15T03:30:09

Convert the flow of charge into current, then use and rearrange $P = I^{2} R$ $P=I^2R$ to find that the resistance is $\frac{1}{7}$ $1/7$ $Omega$ .

Current is defined as the rate of flow of charge:

$I=Q/t=35/5=7$ $A$

The power in a circuit can be expressed as:

$P=I^2R$

(Combining the equation $P=VI$ with Ohm's Law, $V=IR$ will yield this.)

Rearranging:

$R = P/I^2=7/7^2=1/7$ $Omega$

A charge of 353535 CCC passes through a circuit every 555 sss. If the circuit can generate 777 WWW of power, what is the circuit's resistance?