Answer to Question #184985 in Electric Circuits for Victo

Question

Suppose the magnetic field changes uniformly from 0.500T to 0.200 T in the next 0.600s. Compute (a) the induced emf in the coil and (b) the magnitude and direction of the induced current.

Answer 1

Change in Magnetic Field, $\Delta B=0.500-0.200=0.300\space T$

Time, $t=0.600\space s$

(a) Induced emf $= nA\dfrac{\Delta B}{\Delta t}=1\times\pi r^2\times\dfrac{0.300}{0.600}=\dfrac{\pi r^2}{2}$

(b) Induced current = $\dfrac{Induced \space emf}{Resistance}=\dfrac{\pi r^2}{2R}$

Since the values of r and R are not provided, therefore the direction of induced current cannot be determined.