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A circuit has an area of 0.4m2 and consists of 50 loops of wire. If…

A circuit has an area of 0.4m2 and consists of 50 loops of wire. If the loops are twisted and allowed to rotate at a constant angular velocity of 10 rad s-1 in a uniform magnetic field of 0.4T, the amplitude of the induced voltage is
  • A.
    8V
  • B.
    16V
  • C.
    20V
  • D.
    80V
Correct Answer: Option D
Explanation

The induced voltage = time rate of change of magnetic flux

i/e E = – NΔ∅B
Δt

But ∅B = Magnetic Flux
= Magnetic Induction (B) x (A)
= 0.4T x 0.4m2
= 0.16 volt second

i/e E = – NΔ∅B
Δt

= 0.16 x 10 x 50
= 80 volts