CBSE Class 12-science Answered
please solve it
Asked by yadavabhishek66686668 | 24 Jan, 2023, 05:32: PM
Expert Answer
Let us assume a single turn coil of radius r is placed coaxially with another coil of radius R as shown in figure.
Let R > > r .
Let I1 is the current passing through the outer coil of radius R .
Change in current from 0 to I1 in outer coil induces current I2 in the inner coil .
Mutual inductance M of this setup is defined as
φ2 = M I1..............................(1)
where φ2 is the flux of magnetic field passing through the area of inner coil .
since R > > r , let us consider flux of magnetic field due to current I1 is uniform over inner coil area
If B is magnetic field induction in the area of inner coil due to current I1 in outer coil, then
φ2 = B × 
r22 = 
× r2 .................................(2)
r22 = × r2 .................................(2)By comparing eqn.(1) and eqn.(2) , we get 
Answered by Thiyagarajan K | 24 Jan, 2023, 08:04: PM
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Inductance - Part 1
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