Problem 12
Page 620
Section: Problems
Chapter 21: Electromagnetic Induction and Faraday’s Law
Given information
The length of the solenoid is 25.0 cm.
The number of turns in the solenoid is 600.
The number of turns in the coil is 14.
The current changes from 0 A to 5.0 A.
The time taken is 0.60 s.
Step-by-step explanation
Formula used:
The expression for the induced EMF is as follows:
Here, 
is the change in the magnetic field, 
is the change in time, N is the number of loops in the coil, and A is the area.
The expression for the magnetic field of a Solenoid is as follows:
Here, 
is the magnetic permeability, N is the number of turns, I current, and l is the length of the solenoid.
Substitute 
for B in the equation .
Therefore, the induced EMF is,
The expression for the area of coil is as follows:
Here, r is the radius of coil.
The relation between the radius and the diameter is as follows:
Here, d is the diameter.
Therefore, the area is rewritten as follows:
Now, substitute 
for A in the equation .
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