Physics Electromagnetic Induction JEE (MAIN) / AIEEE Problems ( Previous Years ) MCQ (Single Correct)

A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The center of the small loop is on the axis of the bigger loop. The distance between their centers is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is:

A
9.1 × 10 –11 weber
B
6 × 10 –11 weber
C
3.3 × 10 –11 weber
D
6.6 × 10 –9 weber

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Verified by Experts
The correct answer is:
A

As field due to current loop 1 at an axial point

Flux linked with smaller loop 2 due to is

The coefficient of mutual inductance between the loops is

Flux linked with bigger loop 1 is

Substituting the given values, we get

weber

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