CBSE Class 12 Physics 2020 Outside Delhi Set 1 Paper

Question : 30

Total: 37

(a) Differentiate between self inductance and mutual inductance.
(b) The mutual inductance of two coaxial coils is 2H. The current in one coil is changed uniformly from zero to 0.5A in 100‌ms. Find the :
(i) change in magnetic flux through the other coil.
(ii) emf induced in the other coil during the change.

Solution:

(a) In self inductance, the change in the strength of current in the coil is opposed by the coil itself by inducing an e.m.f.

In mutual inductance, a pair of coils are involved. If current changes in one coil, the other near by coil opposes the change by inducing an e.m.f. in itself.
(b) Induced emf =|e|=M‌

=2×‌

0.5

100×10−3

=5V
‌‌ Induced emf ‌=|e|=‌

dϕ

‌‌‌‌‌5=‌

dϕ

100×10−3

‌dϕ=‌ change in flux ‌ =5×100×10−3=0.5‌Wb

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