Question

A conductor shaped as a circular loop with a radius of 4.0 m is located in a uniform but changing magnetic field. If the maximum emf induced in the loop is 5.0 V, what is the maximum rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies?

Answer 1

Answer:

$\frac{\delta B}{\delta t}= 0.0995 \ T/s$

Explanation:

Given that :

The radius of the circular loop = 4.0 m

Maximum Emf $E_{max}$ = 5.0 V

The  maximum rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies can be determined via the expression;

$E_{max}$ = $Area (A) * \frac{\delta B}{\delta t}$

$E_{max}$ = $\pi r^2 * \frac{\delta B}{\delta t}$

5.0 = $\pi * (4.0)^2 * \frac{\delta B}{\delta t}$

5.0 = $50.27 * \frac{\delta B}{\delta t}$

$\frac{\delta B}{\delta t}= \frac{5}{50.27}$

$\frac{\delta B}{\delta t}= 0.0995 \ T/s$