The figure shows two 14turn coils tightly wrapped on the sam

The figure shows two 14-turn coils tightly wrapped on the same 2.0-cm-diameter cylinder with 1.0-mm-diameter wire. The current through coil 1 is shown in the graph. A positive current is into the page at the top of a loop. Assume that the magnetic field of coil 1 passes entirely through coil 2. (Figure 1) Determine the current in coil 2 at t = 0.05s. Express your answer as an integer and include the appropriate units. Determine the current in coil 2 at t = 0.25s. Express your answer to two significant figures and include the appropriate units.

Solution

the current in the seconf coil I = E/R

I = N1 uo dI1/dt * N2A2/RL1

N1 is the no. of tunrs

dI1/dt - rate at whcih current change

A 2 is the area

part A:

at time t = 0.5 secs , the change of current = 0

so di1 = 0

part B :

at time t = 0.25 secs

I = 14 * 4*3.14 e -7 * (2-(-2)/0.25 * 16 * 3.14 * 0.01* 0.01 /(2*21* 0.001))

I = 52uA