The Power $P$ Lost When an Electric Current $I$ Passes Through a Resistance

Multiple Choice

The power $P$ lost when an electric current $I$ passes through a resistance $R$ is given by the formula $P = I ^ { 2 } R$ . Solve for $R$ . If $P$ is 2,900 watts and $I$ is 16 amperes, calculate $R$ to the nearest hundredth of an ohm.

A) $R = 11.33 \mathrm { ohms }$
B) $R = 9.28 \text { ohms }$
C) $R = 12.18 \mathrm { ohms }$
D) $R = 181.25 \text { ohms }$
E) $R = 10.18 \mathrm { ohms }$