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प्रश्न
A metallic rod of 1 m length is rotated with a frequency of 40 rev/s, with one end hinged at the centre and the other end at the circumference of a circular metallic ring of radius 1 m, about an axis passing through the centre and perpendicular to the plane of the ring. A constant and uniform magnetic field of 0.5 T parallel to the axis is present in the region. The value of emf induced between the centre and the metallic ring is close to:
पर्याय
20 V
32 V
40 V
63 V
MCQ
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उत्तर
63 V
Explanation:
Given: B = 0.5 T
L = 1 m
f = 40 rev/s
Formula: ω = 2πf
= 2π × 40
= 80π
For a rod rotating about one end in a uniform magnetic field (perpendicular to plane), induced emf
ε = `1/2 BωL^2`
= `1/2 xx 0.5 xx 80π xx (1)^2`
= 0.5 × 0.5 × 80π × 1
= 0.25 × 80π
= 20π
= 20 × 3.14
= 62.8
= 63 V
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