CBSE Class 12-science Answered
A circular coil of radius 10 cm and resistance 2 Ω is placed with its plane perpendicular to the horizontal component of the earth’s magnetic field. It is rotated about its vertical diameter through 180°. Estimate the charge passed through the coil. Horizontal component of the earth’s magnetic field at the place is 3.0 × 10–5 T.
Asked by sudesh.sudeshghawri | 01 Mar, 2020, 05:33: PM
Expert Answer
Figure shows a circular coil is rotated in magnetic field about a vertical axis.
Induced emf e is given by, e = -dφ/dt
RHS of above equation is rate of change of magnetic flux
...................(1)
where θ is the angle made by the plane of coil area with rotation axis.
Induced current in the coil = induced emf / Resistance = ( e / R )
charge dq that is flown in the coil for small rotation time dt = induced current × time = ( e/ R ) dt ...................(2)
from (1) and (2), we get, dq = - [ ( B×A)/R ] d(cosθ)
total charge q that is flown for half rotation , i.e. from θ=0 to θ=π is given by
Answered by Thiyagarajan K | 01 Mar, 2020, 10:39: PM
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