Magnetic flux in a coil is changing according to the following equation: φ=(4t2+2t−10)Wb, φ = \left ( 4 t^{2} + 2 t - 10 \right ) W b , where t is measured in s. If the resistance of the coil is 5 ohm then at t=2s calculate the induced current in the coil.

Question

Magnetic flux in a coil is changing according to the following equation:  φ=(4t2+2t−10)Wb, φ = \left ( 4 t^{2} + 2 t - 10 \right ) W b ,  where t is measured in s. If the resistance of the coil is 5 ohm then at t=2s calculate the induced current in the coil.

Accepted Answer

গ. 3.6 A

ব্যাখ্যা: ফ্যারাডের তড়িৎচৌম্বক আবেশের সূত্রানুসারে আবিষ্ট তড়িৎচ্চালক বল:
$e = |\frac{d\Phi}{dt}| = \frac{d}{dt}(4t^2 + 2t - 10) = 8t + 2$
$t = 2	ext{ s}$ সময়ে আবিষ্ট তড়িৎচ্চালক বল:
$e = 8(2) + 2 = 18	ext{ V}$
অতএব, আবিষ্ট তড়িৎপ্রবাহ:
$I = \frac{e}{R} = \frac{18}{5} = 3.6	ext{ A}$।

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