The Resistivity of Gold Is $2.44 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m }$

The resistivity of gold is $2.44 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m }$ at a temperature of $20 ^ { \circ } \mathrm { C }$ . A gold wire, $1.8 \mathrm {~mm}$ in diameter and $14 \mathrm {~cm}$ long, carries a current of $480 \mathrm {~mA}$ . What power is dissipated in this wire at $20 ^ { \circ } \mathrm { C }$ ?

A) $0.19 \mathrm {~mW}$
B) $0.077 \mathrm {~mW}$
C) $0.25 \mathrm {~mW}$
D) $0.14 \mathrm {~mW}$
E) $0.31 \mathrm {~mW}$