ElectroMagnetic InductionHard

Question

A 50 turn circular coil has a radius of 3 cm, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field B is increased from 0.10 T to 0.35 T in 2 millisecond, the average induced emf will be:

Options

A.177 V
B.1.77 V
C.0.177 V
D.17.7 V

Solution

Average flux in the beginning = πr2 nB1
Average flux in the final = πr2 nB2
Increase in flux dφ = πr2 n(B2 - B1)
= 3.14 × (0.03)2 × 50(0.35 - 0.10)
= 3.14 × 45 × 25 × 10-7
Give time dt = 2 × 10-3
e = -
= 1.77 V (approx.)

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