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A circuit has an area of 0 4m2 and consists of ... - JAMB Physics 2003 Question

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 option: d

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

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