Question

A circular loop of wire with radius R is centered at the origin of the xy-plane. The magnetic field at a point within the loop is, \(\overrightarrow B(\rho,\phi,z,t)=k\rho^3t^3\hat{z}\), where k is a positive constant of appropriate dimensions. Neglecting the effects of any current induced in the loop, the magnitude of the induced emf in the loop at time t is

• A. \(\frac{6\pi kt^2R^5}{5}\)
• B. \(\frac{5\pi kt^2R^5}{6}\)
• C. \(\frac{3\pi kt^2R^5}{2}\)
• D. \(\frac{\pi kt^2R^5}{2}\)

Answer 1

The Correct Option is A

The correct answer is (A) : \(\frac{6\pi kt^2R^5}{5}\)