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Question : 20
Total: 30
Define the term 'mutual inductance' between the two coils.
Obtain the expression for mutual inductance of a pair of long coaxial solenoids each of lengthl r 1 r 2 ( r 2 ≫ r 1 ) ( N 1. N 2 )
Obtain the expression for mutual inductance of a pair of long coaxial solenoids each of length
Solution:
Mutual inductance of two coils is equal to the e.m.f. induced in one coil when rate of change of current through the other coil is unity.
Mutual inductance of two co-axial solenoids : Consider two long co-axial solenoid each of length 1 with number of turnsN 1 N 2 n =
I 1
B 1 =
The flux linked with each turn of inner solenoid coil is
ϕ 2 = N 2 ϕ
= N 2 B 1 A 2
= N 2 (
) A 2
Mutual Inductance,
M 21 = (
) A 2
Ifn 1 r 2
M = µ 0 n 1 N 2 π r 2 2
Mutual inductance of two co-axial solenoids : Consider two long co-axial solenoid each of length 1 with number of turns
The flux linked with each turn of inner solenoid coil is
Mutual Inductance,
If
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