Question: Q. 6. (i) Define mutual inductance.

(ii) A pair of adjacent coils has a mutual inductance of 1.5 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 ? R A [Delhi I, II, III 2016]

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Solution:

Ans. (i) Magnetic flux, linked with the secondary coil due to the unit current flowing in the primary coil,

[Alternatively,

(1)ϕ2=MI1

Induced emf associated with the secondary coil, for a unit rate of change of current in the primary coil.

(1)e2=MdI1dt]

[Also accept the definition of Mutual Induction, as per the Hindi translation of the questions]

[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

dϕ=MdI =1.5×(200)W =30 weber 

Detailed Answer :

[CBSE Marking Scheme, 2016]

(i) Try yourself, Similar to Q. 1 (a), Short Answer Type Questions-II

(ii) Given :

Mutual inductance of a pair of coils, μ=1.5H Initial current,

Final current

Change in current willb

Δ1=l2l1 200=20A

and we know,

where,

Δϕ=MΔI

Δϕ is change in magnetic flux

Δϕ=1.5×20 =30 Wb

Hence, change in the flux linkage will be 30 Wb.

[1] Q. 7. Define the term self-inductance of a solenoid. Obtain the expression for the magnetic energy stored in an inductor of self-inductance L to build up a current I through it. R [O.D. I, II, III 2014]

Ans. Try yourself, Similar to Q. 2, Short Answer Type Questions-I



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