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A solenoid of length 20cm, area of cross-section 4.0cm^2 and having 4000turns is placed inside another solenoid of 2000turns

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A solenoid of length 20cm, area of cross-section 4.0cm2 and having 4000turns is placed inside another solenoid of 2000turns having a cross-sectional area 8.0cm2 and length 10cm. Find the mutual inductance between the solenoids.

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Solenoid I :

a1 = 4cm2 ; n1 = 4000/0.2m; l1= 20cm = 0.20m

Solenoid II :

a2 = 8cm2; n2 = 2000/0.1m ; l2 = 10cm = 0.10m

B = μ0n2i let the current through outer solenoid be i.

ϕ = n1B.A = n1n2μ0i x a1

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