A small rectangular coil is placed in a uniform magnetic field B, and an electric current is
passed through the coil.
a) What is the direction of the force, if any, acting on each of the sides AB, BC, and CD?
b) What could be said about the force acting on AB compared to that of CD?
c) What is the combined effect of the two forces acting on AB and CD?
Detailed answer is expected !!
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According to Faraday's law when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage.
So, when rectangular coil is rotated in a uniform magnetic field about an axis passing through its centre and perpendicular to the direction of the field, then the induced voltage in the coil =
dt
dϕ
⇒e.m.f=
dt
d(NABsinθ)
⇒e.m.f= NABωcosθ
where θ is the the angle between the plane of the coil and the lines of force.
So, the induced emf in the coil is maximum when cosθ is maximum or θ is zero means when the plane of the coil is`parallel to the field.
Therefore, B is correct option
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