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QUESTION :-
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A long solenoid of radius 0.01 has 600 turns per metre a small coil of 100 turns is wrapped closely around the centre of the bigger solenoid. If the current in the solenoid Rises from 0 to 2 ampere in 1 ms. Find the induced EMF in the smaller Coil.
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Answers
Answer:
The EMF induced in the smaller coil is - 150 V
According to the problem the solenoid has the radius ,r = 0.01
and it has 600 turns /m
Now if the current is 2A passing through the solenoid
Therefore,the magnetic field produced is
B=μ0nI [ μ= coefficient, n=number of turns and l is the length]
=1.25×10^(−6)×600×2
=0.0015 T
So the rate of change of magnetic field is 0.0015−0/1×10^(−3)
=1.5 T/s
Now induced emf is given by EMF = −NdB/dt =−100×1.5
=−150 V
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Answer:Given that,R=0.01,n=600turns
Change in current is di=2-0=2amperes,t=1×10–3s
First find B
B=uoni
B=1.25×10–6×600×2=1.25×10-6×1200
B=0.0015=15×10–4Tesla
Now change in magnetic field density is,
dB/dt=15×10-4-0/10-3=15×10–1
dB/dt=1.5T/s
Hence,EMF=-NdB/dt=-100×1.5=-150v
So electromotive force is -150v
Explanation:
Hope u can understand it frnd........