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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACSelf and mutual inductorEasy2 minPYQ_2020

PhysicsEasysingle choice

A current $I = 20 \sin (100 π t) A$ is passed in the first coil, which induces a maximum $emf$ of $10 π V$ in the second coil. The mutual inductance for the pair of coils is

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Answer:

Solution:

Let $I = I_{0} \sin ω t$ ,

Where $I_{0} = 20 A$ , $ω = 100 π rad s^{- 1}$

Then, $ε = M \frac{d I}{d t} = M \frac{d (I_{0} \sin ω t)}{d t} = M I_{0} ω \cos ω t$

$\Rightarrow ε_{\max} = M I_{0} ω = 10 π$

$M = \frac{10 π}{20 \times 100 π}$

$M = 0.005 H = 5 mH$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:EMI/ACSubtopic:Self and mutual inductor

⏱ 2mℹ️ Source: PYQ_2020

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