Question

Two concentric circular coils c1 and c2 radius r1 and r2 respectively are kept coaxially if current is passed through c2,then find an expression for the mutual inductance

Answer 1

Answer:

12th

Physics

Electromagnetic Induction

Mutual Inductance

Two concentric circular coi...

PHYSICS

Two concentric circular coils of radii r and R are placed coaxially with centres coiciding. If R >> r then calculate the mutual inductance between the coils.

MEDIUM

Help best friend

Study later

VIDEO EXPLANATION

ANSWER

Let current I

2

flow in the outer coil.

Hence magnetic field at its center=

2R

μ

0

I

2

Since r<<R, this magnetic field can be considered to be constant over the entire face of smaller coil.

Hence flux through the coil=ϕ=

2R

μ

0

I

2

πr

2

By definition of mutual inductance,

ϕ=M

12

I

2

=

2R

μ

0

I

2

πr

2

⟹M

12

=

2R

μ

0

πr

2