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A long solenoid of length L, cross-section A having N1 tums has wound about its centre is small coil of N2 turns as shown in fig.(10). Then the mutual inductance of two circuits is

a
μ0AN1/N2L
b
μ0AN1N2L
c
μ0AN1N2L
d
μ0AN12N2L

detailed solution

Correct option is B

Magnetic flux at the centre of solenoidB1=μ0N1/Li1Magnetic flux through each turn of the coil of area AΦ1=B1A=μ0N1i1L×AMagnetic flux linked with the coil of turns N2Φ2=Φ1×N2=μ0N1N2i1ALAccording to the definition of mutual inductanceΦ2=Mi1∴Mi1=μ0N1N2i1LA or M=μ0N1N2AL

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