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The magnetic flux through a coil perpendicular to its plane is varying according to the relation \phi=\left(5 \mathrm{t}^{3}+4 \mathrm{t}^{2}+2 \mathrm{t}-5\right) Weber. If the resistance of the coil is 5 \mathrm{ohm}, then the induced current through the coil at t=2 s will be,
 

Option: 1

15.6 \mathrm{~A}


Option: 2

16.6 \mathrm{~A}


Option: 3

17.6 \mathrm{~A}


Option: 4

18.6 \mathrm{~A}


Answers (1)

best_answer

\mathrm{\phi = 5t^{3}+4t^{2}+2t-5}
\mathrm{e= \left |\frac{d\phi}{dt} \right |= 15t^{2}+8t+2}

\mathrm{at\, t= 2s,}
\mathrm{i R= \left | \frac{d\phi}{dt}\right |= 60+16+2= 78}
\mathrm{i= \frac{78}{5}= 15.6\, A}
The correct option is (1)
 

Posted by

shivangi.bhatnagar

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