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Electric Charges And Fields

Question
CBSEENPH12037901

A long solenoid of 20 turns per cm has a small loop of area 4 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadly from 4A to 6A in 0.25, what is the (average) induced emf in the loop while the current is changing?

Solution
Given, a long solenoid.
Number of turns per unit length = 20 /m
Area = 4 cm2 
Current is changing from 4A to 6A in 0.25 sec. 

The induced emfis given by, 

ε = -dtε = ddtBA cos ϕ                                       ( cos ϕ = 1)    = 20 × 100 × 4 × 10-40.2   = 4  volt.