Question

The mutual inductance of two coaxial coils is 2H.. The current in one coil is changed uniformly from 0 to 0.5ms .Find out the change in magnetic flux through the other coil​

Answer 1

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Answer 2

Given :

The mutual inductance of two coaxial coils is 2 H

The current in one coil is changed uniformly from 0 to 0.5 ms

To Find :

The change in magnetic flux through the other coil​

Solution :

Let The magnetic flux = ∅

∵ voltage in the coil is proportional to rate of change in current

i.e   EMF ∝ $\dfrac{di}{dt}$

 EMF = M $\dfrac{di}{dt}$   ,       where M is the mutual inductance in coil

So, EMF induced = 2 × 0.5 m volt

                             = 1  m v

And

EMF = N $\dfrac{d\Phi }{dt}$

where N is number of turns = 100

So,    1 m v = 100 × $\dfrac{d\Phi }{dt}$

∴     $\dfrac{d\Phi }{dt}$ = $\dfrac{1mv}{100}$  = $10^{-5}$  wb-sec

So, The rate of change of magnetic flux through coil =  $\dfrac{d\Phi }{dt}$ = $10^{-5}$  wb-sec

Hence, The rate of change of magnetic flux through coil is $10^{-5}$  wb-sec  Answer