Question

22. A 15-volt battery is connected to a 3.0-ohm resistor, as shown.How much power is used by the resistor?(a) 8.3 W(b) 15 W(c) 45 W(d) 75 W

Answer 1

Given voltage of the battery is,

`V=15\text{ volt}`

The value of the resistance is,

`R=3\text{ ohm}`

Thus, the power in terms of voltage and resistance is,

`P=(V^2)/(R)`

Substituting the known values,

`\begin{gathered} P=(15^2)/(3) \\ P=75\text{ W} \end{gathered}`

Thus, the power used by resistor is 75 W.

Hence, the d option is the correct answer.