Problem 84
Page 623
Section: General Problems
Chapter 21: Electromagnetic Induction and Faraday’s Law
Given information
It is given in the question that :
The Number of turn of coil is 
Radius of coil 
Resistance of coil 
No .of turns per unit length of the solenoid 
The Radius of the solenoid
The current changes from 
to 
in 0.10sec
Step-by-step explanation
According to Faraday's Law of Electromagnetic induction:
''The induced emf in a coil is equal to the rate of change of flux linked with it''
Mathematically it is expressed as:
,where 
is the no of turns , 
is the magnetic flux and 
is the induced emf
Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.
It provides the measurement of the total magnetic field that passes through a given surface area
Mathematically it is defined as :
,where 
represents the surface area
Hence induced emf is :
The direction of induced emf or induced current is given by Lens Law and it states that
''The direction of induced emf or induced current is such that it opposes the cause producing it ( that is the change of magnetic flux )''
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