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  • The magnetic flux  linked with a conducting coil depends on time as<img alt="\phi =4t^n+6" src="/latex-image/?%5C

The magnetic flux \phi linked with a conducting coil depends on time as\phi =4t^n+6, where n is positive constant. The induced emf in the coil is e

Option: 1

If 0<\mathrm{n}<1 ; \mathrm{e} \neq 0 and |\mathrm{e}| decreases with time.


Option: 2

If n=1 ; e is constant.


Option: 3

If \mathrm{n}>1 ;|\mathrm{e}|  increases with time.


Option: 4

All of the above


Answers (1)

best_answer

\mathrm{\begin{aligned} & \quad \phi=4 \mathrm{t}^{\mathrm{n}}+6 \\ & \frac{\mathrm{d} \phi}{\mathrm{dt}}=4 \mathrm{n} \cdot \mathrm{t}^{\mathrm{n}-1} \\ & |\mathrm{e}|=4 \mathrm{n} \mathrm{t}^{\mathrm{n}-1} \\ & |\mathrm{e}|=\frac{4 \mathrm{n}}{\mathrm{t}^{1-\mathrm{n}}} . \end{aligned}}

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Ajit Kumar Dubey

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