A circular wire coil with 300 turns and radius 5.0 cm is placed in a uniform magnetic field that is increasing at 0.1 T/s. The plane of the coil makes an angle of 30° with the magnetic field. What is the induced emf?
1.+ 0.1 V
2.– 0.1 V
3.+ 0.2 V
4.– 0.2 V
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Answer:
Explanation:
Induced emf in the loop is given by
e=−B.
dt
dA
where A is the area of the loop.
e=−B.
dt
d
(πr
2
)=−Bπ2r
dt
dr
r=2 cm=2×10
−2
m
dr=2 mm=2×10
−3
m
dt=1s
e=−0.04×3.14×2×2×10
−2
×
1
2×10
−3
V
=0.32π×10
−5
V
=3.2π×10
−6
V
=3.2πμV.
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