Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACInduced Electric FieldHard2 minPYQ_2020

PhysicsHardsingle choice

A uniform but time-varying magnetic field is present in a circular region of radius $R$ . The magnetic field is perpendicular and into the plane of the paper and the magnitude of the field is increasing at a constant rate $α$ . There is a straight conducting rod of length $2 R$ placed as shown in the diagram. The magnitude of induced E.M.F. across the rod is

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Answer:

Solution:

Considering a square loop as shown, E.M.F. across the loop is given by

$e = \oint E.dl = - \frac{d ϕ}{dt} = - A \frac{dB}{dt}$ (where $A$ = area = $π R^{2}$ )

$\Rightarrow e = - π R^{2} \frac{dB}{dt} = - π R^{2} α$

$∴$ Magnitude of E.M.F. across one side $= \frac{π R^{2} α}{4}$

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Induced Electric Field

⏱ 2mℹ️ Source: PYQ_2020

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