Question 90: Electromagnetic Induction

Question

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

Accepted Answer

$\phi=5 \mathrm{t}^3+4 \mathrm{t}^2+2 \mathrm{t}-5$
$|\mathrm{e}|=\frac{\mathrm{d} \phi}{\mathrm{dt}}=15 \mathrm{t}^2+8 \mathrm{t}+2$
At $\mathrm{t}=2,|\mathrm{e}|=15 	imes 2^2+8 	imes 2+2$
$\Rightarrow \mathrm{e}=78 \mathrm{~V} $
$\Rightarrow \mathrm{I}=\frac{\mathrm{e}}{\mathrm{R}}=\frac{78}{5}=15.60$

Answer

15.6 A

Answer

16.6 A

Answer

17.6 A

Answer

18.6 A

Electromagnetic Induction

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

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