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Question : 14
Total: 26
(i) Define mutual inductance.
(ii) A pair of adjacent coils has a mutual inductance of1.5 H . If the current in one coil changes from 0 to 20 A in 0.5 s , what is the change of flux linkage with the other coil?
(ii) A pair of adjacent coils has a mutual inductance of
Solution:
(i) Definition of mutual inductance
(ii) Calculation of change of flux linkage
(i) Magnetic flux, linked with the secondary coil due to the unit current flowing in the primary coil,Ï• 2 = M I 1
[Alternatively
Induced emf associated with the secondary coil, for a unit rate of change of current in the primary coil.e 2 = − M
]
[Also accept the definition of Mutual Induction, as per the Hindi translation of the question]
[i.e. the phenomenon of production of induced emf in one coil due to change in current in neighbouring coil]
(ii) Change of flux linkage
d Ï• = M d l
= 1.5 × ( 20 − 0 ) W
= 30 weber
(ii) Calculation of change of flux linkage
(i) Magnetic flux, linked with the secondary coil due to the unit current flowing in the primary coil,
[Alternatively
Induced emf associated with the secondary coil, for a unit rate of change of current in the primary coil.
[Also accept the definition of Mutual Induction, as per the Hindi translation of the question]
[i.e. the phenomenon of production of induced emf in one coil due to change in current in neighbouring coil]
(ii) Change of flux linkage
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