A coil of area 100cm2 has 500 turns. Magnetc field of 0.1weber/m2 is perpendicular to the plane of coil. The magnetic field is reduced to zero in 0.1s. Then induced e.m.f. in the coil is
A
1V
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B
5V
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C
50V
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D
0V
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Solution
The correct option is B5V Magnetic flux linked with coil is ( taking area (S) in same direction as (B) hence cosθ=cos0∘=1), ϕ=BScosθ=BS
Rate of change of flux is: ΔϕΔt=S(ΔBΔt) S=10×10−4m2 ⇒ΔϕΔt=100×(10)−4×(0−0.10.1−0) ∴ΔϕΔt=−10−2weber/s...(i)
From Faraday's law: ε=−N(ΔϕΔt)...(ii) ε=−500×(−10−2) ∴ε=5V