A coil of wire enclosing an area 10 cm'is placed with its plane making an angle 30⁰ with the magnetic field of strength 0.1T. What is the flux through the coil? If magnetic field is reduced to zero in 0.01s, then find the induced emf ?
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Answer:
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
you do and take this example
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