A resistor dissipates 1.5 W when it is connected to a battery with a potential difference of 12 V. What is the resistance of the resistor?
A)0.13 $\varOmega$
B)220 $\varOmega$
C)18 $\varOmega$
D)8.0 $\varOmega$
E)96 $\varOmega$

Question

Quizplus · Accepted Answer

The power dissipated by a resistor is given by $ P = \frac{V^2}{R} $. Rearranging for $ R $, we have $ R = \frac{V^2}{P} = \frac{12^2}{1.5} = 96 \, \Omega $.

A Resistor Dissipates 1 Ω\varOmegaΩ B)220 Ω\varOmegaΩ C)18 Ω\varOmegaΩ D)80 Ω\varOmegaΩ E)96 Ω\varOmegaΩ

A Resistor Dissipates 1 $\varOmega$ B)220 $\varOmega$ C)18 $\varOmega$ D)80 $\varOmega$ E)96 $\varOmega$