Class 12th Physics 2017 Set1 Delhi Board Paper Solution

Question 22

Obtain the expression for the mutual inductance of two long co-axial solenoids S1 and S2 wound one over the other, each of length L and radii r1 and r2 and n1 and n2 , number of turns per unit length, when a current I is set up in the outer solenoid S2 .

Answer

Magnetic field B formed along the axis of outer solenoid.

B  = µ0n2I.

Flux linked with inner solenoid S1 per turn.

= B.A =  π r21B = × π r21 x  µ0 n2 I

Flux linked with whole of inner solenoid having total no of turns n1 L

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