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Question

When a magnet is moved quickly towards a closed coil the induced emf and charge are `e' and `q'. When the same magnet is slowly towards the same coil, the induced emf and charge are e1 and q1 respectively. Then

A
e>e1,q>q1
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B
e>e1,q=q1
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C
e=e1,q=q1
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D
e<e1,q<q1
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Solution

The correct option is B e>e1,q=q1

e=dϕdt
If the magnet is moved slowly, induced emf will be less.
e>e1
i=|e|R=1Rdϕdt
dqdt=1Rdϕdt
q=1R|Δϕ|
q1=q as the charge does not depend on the time.

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