Explain A coil of area 20 cm2 is placed so that a magnetic field of 0.1 T is perpendicular to that plane of the coil. I the coil is turned through 180° in 0.1 s, what is the emf induced?
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Explanation:
Correct option is
C
40mV
Area of the coil A=500 cm
2
=0.05 m
2
Number of coil N=1000
Magnetic field B=4×10
−5
Wb/m
2
Magnetic flux passing through the coil initially (θ=0
o
),
ϕ
i
=NBAcosϕ=1000×4×10
−5
×0.05×cos0
o
=0.002 Wb
Magnetic flux passing through the coil finally (θ=180
o
),
ϕ
f
=NBAcosϕ=1000×4×10
−5
×0.05×cos180
o
=−0.002 Wb
Thus change of flux Δϕ=ϕ
i
−ϕ
f
=0.002−(−0.002)=0.004 Wb
Change in time Δt=0.1 s
Thus average emf induced E=
Δt
Δϕ
=
0.1
0.004
=40 mV
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