Question

Explain the meaning of the term mutual

inductance. Consider two concentric circular

coils, one of radius r1 and the other of radius

r2(r1 < r2) placed coaxially with centres coinciding

with each other. Obtain the expression for the

mutual inductance of the arrangement.​

Answer 1

Explanation:

$\huge{\boxed{\mathcal\pink{\fcolorbox{red}{white}{GURJARI HERE}}}}$

Mutual inductance of a pair of coils is

Mutual inductance of a pair of coils is defined as the emf induced in one of the coils, when

ned as the emf induced in one of the coils, when the rate of change of current is unity in the other coil.

ned as the emf induced in one of the coils, when the rate of change of current is unity in the other coil. When current I2 flows through

ows through the outer coil-2, magnetic fir ld

produced at its centre is given

produced at its centre is given by B2 = m0 2

produced at its centre is given by B2 = m0 2 2 2

produced at its centre is given by B2 = m0 2 2 2 I

produced at its centre is given by B2 = m0 2 2 2 I r

produced at its centre is given by B2 = m0 2 2 2 I r directed normal

produced at its centre is given by B2 = m0 2 2 2 I r directed normal to the plane of coils. As r1 < r2,

produced at its centre is given by B2 = m0 2 2 2 I r directed normal to the plane of coils. As r1 < r2, so this magnetic field is almost uniform over the

eld is almost uniform over the plane of coil-1. So, magnetic flux linked with coil-1

ux linked with coil-1 is

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2 r

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2 r r = or M12 = m p0 1

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2 r r = or M12 = m p0 1 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2 r r = or M12 = m p0 1 2 2 2

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2 r r = or M12 = m p0 1 2 2 2 r

ux linked with coil-1 is f12 = B2A1 cos 0° or f12 = m0 2 2 2 I r × pr1 2 × 1 or f m p 12 2 0 1 2 2 I 2 r r = or M12 = m p0 1 2 2 2 r r