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Electrical machines miscellaneous

Electrical Machines

  1. The core of a two-winding transformer is subjected to a magnetic flux variation as indicated in the figure given below.


    The induced emf (ers) in the secondary winding as a function of time will be of the form




Correct Option: B

Induced emf in secondary, ers = - N2
dt


From given curve,
φ = 0.12 t ;    0 < t < 1
0.12 ;    1 ≤ t ≤ 2
– 0.24 t + 0.6 ;    2 ≤ t ≤ 2.5
∴ ers = – 200 × 0.12 = – 24;    0 < t < 1
ers = – 200 × 0 = 0;    1< t < 2
ers = – 200 × (– 0.24 + 0) = 48;    2 ≤ t < 2.5
Alternately
During 0 < t < 1 sec,
E1 = -
= - 0.12 V
dt

E2 and E1 are in hence opposition,
or F
E1
=
N1
=
100
or , E2 = 2E1 = 0.24 V
E2N2200

During 1 < t < 2, = -
= 0 , then E1 = E2 = 0
dt

During 2 < t < 2.5
E1 = -
= 0.24 V
dt

Then, E2 = 0.48 V
Hence the induced (ers) in line secondary cruidip could be of the form as given in choice (a).



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