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Question

The flux linked with a circuit is given by ϕ=t3+3t7. The graph between time (x-axis) and induced emf (y-axis) will be

A
A straight line through the origin
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B
Straight line with positive intercept
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C
Straight line with negative intercept
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D
Parabola not through origin
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Solution

The correct option is B Parabola not through origin
We given the flux linked with circuit ϕ=t3+3t7
as, e=dϕdt
=ddt(t3+3t7)=3(t2+1)
Clearly the graph between e and t (along x axis) will be a parabola.
At t=e,e=3(0)
The parabola would not pass through the origin.

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