Answer to Question #191521 in Physics for Kageyama

Question

The current supplied to an air conditioner unit is 6.5 amps. The air conditioner is wired using a 10-gauge (diameter 2.588 mm) wire. The charge density is n = 5.12× 10²⁸ electrons/m³. Find the magnitude of the drift velocity.

Round your answer to 6 decimal places

Answer 1

The magnitude of the drift velocity is

$$v=\frac{I}{neA},\\\space\\ v=\frac{6.5}{(5.12·10^{28})(1.6·10^{-19})(\pi(2.588·10^{-3})^2/4)}=0.000151\text{ m/s}.$$