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  • The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to relation <img alt="\mathrm{\varphi=5 t^2+10 t+5}" src="https://entrancecorner.oncodecogs.

The magnetic flux through a coil perpendicular to its plane and directed into paper is varying according to relation \mathrm{\varphi=5 t^2+10 t+5} milli weber. The e.m.f. induced in the loop after 5 sec 15

Option: 1

0.03 volt


Option: 2

0.06 volt


Option: 3

0.08 volt


Option: 4

0.02 volt


Answers (1)

best_answer

\mathrm{\begin{aligned} & \quad \varphi=\left(5 \mathrm{t}^2+10 \mathrm{t}+5\right) \times 10^{-3} \mathrm{~Wb} \\ & \text { as e }=\frac{d \varphi}{d t} \text { (in magnitude) } \\ & \frac{d}{d t}\left(5 \mathrm{t}^2+10 \mathrm{t}+5\right) \times 10^{-3} \mathrm{~Wb} \mathrm{sec}^{-1} \\ & =(10 \mathrm{t}+10) 10^{-3} \text { volt } \\ & \therefore \mathrm{e}=(10 \times 5+10) \times 10^{-3}=0.06 \text { volt } \end{aligned}}

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