An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area 24 cm 2 . The two ends of the wire are connected to a resistor. The total resistance in the circuit is 12 
. If an externally applied uniform magnetic field in the core along its axis changes from 1. 5 T in one direction to 1. 5 T in the opposite direction, the charge flowing through a point in the circuit during the change of magnetic field will be_____mC.
Text Solution
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(60)
The induced emf (s) in the turns of the coil can be written as
= iR ….(i)
Simplify equation (i) to obtain the required charge through a point in the circuit.
...(ii)
Where, 
are the magnetic flux associated with the coil from two ends.
As, 
= NBA, from equation (ii), it can be written that
...(iii)
where, N, A are the number of turns and the cross-sectional area of the core respectively.
Substitute the values of the known parameters into equation (iii) to calculate the required charge.
= 60 Mc
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