Physics

Problem

A pair of closely wound coils forms an elementary transformer. The mutual inductance between the primary and the secondary is

0.40\,\text{H}

. a. (i) For the time interval

0 \le t \le 5\,\text{s}

, the current in the primary varies according to

I_p = 6 + 2t

amperes (with

t

in seconds). Write the expression for the rate of change of the current. b. (ii) Calculate the magnitude of the emf induced in the secondary at

t = 3.0\,\text{s}

. c. (iii) If the secondary has 500 turns, determine the magnetic flux linked with each turn at

t = 3.0\,\text{s}