If the magnetic field is uniform over the area bounded by a circle with a radius R, the net current through the circle is: A) 0 B) 2 $\pi$RB$\mu$₀ C) $\pi$R²B/$\mu$₀ D) RB/2$\mu$₀ E) 2RB/$\mu$₀

Question

Quizplus · Accepted Answer

According to Ampere's Law, the net current through a closed loop is directly proportional to the magnetic field circulating around the loop. Since the magnetic field is uniform over the area bounded by the circle, the net magnetic field circulating around the circle is 0. Therefore, the net current through the circle is also 0.

If the Magnetic Field Is Uniform Over the Area π\piπ

If the Magnetic Field Is Uniform Over the Area $\pi$