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 the Ampere's circuital law, the net current passing through a closed loop is proportional to the integral of magnetic field along that loop. Since the magnetic field is uniform over the area bounded by the given circle, the integral of magnetic field along the circle is simply the product of magnetic field and the circumference of the circle, which is 2πR. However, the question does not provide any information about the current passing through the circle, so it cannot be determined. Therefore, the answer is A) 0.

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

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