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