Electro Magnetic Induction And Alternating Currents Question 316

Question: A small square loop of wire of side l is placed inside a large square loop of wire of side L (L > l). The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to [IIT JEE 1998]

Options:

A) l / L

B) l2/L

C) L/l

D) L2/l

Show Answer

Answer:

Correct Answer: B

Solution:

Magnetic field produced due to large loop

B=μ04π82iL Flux linked with smaller loop

φ=B(l2)=μ04π8πil2L

φ=MiM=φi=μ04π.82l2LMl2L



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