A circular coil of radius 10 cm, 500 turns and resistance - 2ohm with its plane perpendicular to the horizontal component of earth's magnetic field. It is rotated about its vertical diameter through 180° in 0.25s. Estimate the magnitude of the emf and current induced in the coil. Horizontal component of earth's magnetic field at the point is 3•0×10^-5 T.
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Answer:
Initial magnetic flux through the coil,
ϕ
1
=B
H
Acosθ=3.0×10
−5
×(π×10
−2
)×cos0
∘
=3π×10
−7
Wb
Final magnetic flux after the rotation
ϕ
f
=3.0×10
−5
×(π×10
−2
)×cos180
∘
=−3π×10
−7
Wb.
Induced emf, ϵ=−N
dt
dϕ
=−
t
N(ϕ
f
−ϕ
i
)
=−
0.25
500(−3π×10
−7
−3π×10
−7
)
=
0.25
500×(6π×10
−7
)
=3.8×10
−3
V
I=
R
ϵ
=
2Ω
3.8×10
−3
V
=1.9×10
−3
A.
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