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# 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)
By comparing eqn.(1) and eqn.(2) , we get
Answered by Thiyagarajan K | 24 Jan, 2023, 08:04: PM

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