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Question

A coil of area 500cm2 having 1000 turns is placed such that the plane of the coil is perpendicular to a magnetic field of magnitude 4105weber/m2. If it is rotated by 180 degree about an axis passing through one of its diameter in 0.1 sec, find the average induced emf.

A
zero.
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B
30mV
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C
40mV
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D
50mV
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Solution

The correct option is D 40mV
Area of the coil A=500 cm2=0.05 m2
Number of coil N=1000
Magnetic field B=4×105 Wb/m2
Magnetic flux passing through the coil initially (θ=0o),
ϕi=NBAcosϕ=1000×4×105×0.05×cos0o=0.002 Wb
Magnetic flux passing through the coil finally (θ=180o),
ϕf=NBAcosϕ=1000×4×105×0.05×cos180o=0.002 Wb
Thus change of flux Δϕ=ϕiϕf=0.002(0.002)=0.004 Wb
Change in time Δt=0.1 s
Thus average emf induced E=ΔϕΔt=0.0040.1=40 mV

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