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Electrical Machine - IES Academy

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India’s No. 1<br />

<strong>IES</strong> <strong>Academy</strong><br />

Transformer<br />

Chapter-1<br />

So, V<br />

1<br />

+ V 2<br />

= 2640 ----- (i)<br />

V<br />

1<br />

– V 2<br />

= 2160 ----- (ii)<br />

From (i) & (ii) V<br />

1<br />

= 2400V & V<br />

2<br />

= 240V<br />

∴ V<br />

1<br />

: V<br />

2<br />

= 10 : 1<br />

<strong>IES</strong>-18. Ans. (d) V 1<br />

= 2000 – 200 = 1800 V due to opposite polarity connection<br />

1800 × 50<br />

( kVA ) auto<br />

= 1800 × 50 ⇒ I<br />

2<br />

=<br />

= 45A<br />

2000<br />

<strong>IES</strong>-19. Ans. (b)<br />

<strong>IES</strong>-20. Ans. (c)<br />

⎛ V ⎞<br />

L<br />

⎛ 161 ⎞<br />

<strong>IES</strong>-21. Ans. (d) S<br />

trans<br />

=Sin<br />

⎜1- ⎟×100%<br />

= Sin<br />

1 100% 30% of Sin<br />

⎝ V<br />

⎜ − × =<br />

H ⎠<br />

230<br />

⎟<br />

⎝ ⎠<br />

<strong>IES</strong>-22. Ans. (b) Power transferred conductively = 3 × 0.8 = 2.4 kW.<br />

<strong>IES</strong>-23. Ans. (c) V = 0.08 X 1 pu<br />

∴ V<br />

actual<br />

= 0.08 x 2000 = 160 V<br />

( 400) 2<br />

<strong>IES</strong>-24. Ans. (b) R<br />

actual<br />

= 0.02 × = 0.8Ω<br />

4000<br />

5000<br />

<strong>IES</strong>-25. Ans. (b) Core-loss component = =22.73A<br />

220<br />

<strong>IES</strong>-26. Ans. (d) Core losses will be lesser in case of using high frequency ferrite core.<br />

<strong>IES</strong>-27. Ans. (d) P<br />

c<br />

= 10W and P<br />

m<br />

= 10 W as no-load components of power are equally divided.<br />

160<br />

V<br />

OC( HV)<br />

=160 V ⇒ V<br />

OC(LV)<br />

= =80 V<br />

2<br />

2 2<br />

V<br />

V<br />

As P=<br />

c<br />

andP<br />

m=<br />

R ωL<br />

C<br />

⎛ 80 ⎞<br />

∴ P<br />

c<br />

(at40Hz)= ⎜ × 10<br />

100<br />

⎟ = 6.4 W<br />

⎝ ⎠<br />

2<br />

⎛ 80 ⎞ 50<br />

and P<br />

m ( at40Hz ) = ⎜ × 10 × =8W<br />

100<br />

⎟<br />

⎝ ⎠ 40<br />

∴ W<br />

1<br />

= P<br />

c<br />

+P<br />

m<br />

= 6.4 + 8 = 14.4 W<br />

10<br />

Similarly I<br />

SC( LV) = 10A ⇒ I<br />

SC( HV)<br />

= = 5A<br />

2<br />

2<br />

as = I R<br />

P<br />

cu<br />

2<br />

⎛5<br />

⎞<br />

∴ P<br />

cu ( at 40 Hz ) = ⎜ ×25 =25W<br />

5<br />

⎟<br />

⎝ ⎠<br />

∴ W<br />

2<br />

= 25 W<br />

<strong>IES</strong>. 28. Ans. (a)<br />

<strong>IES</strong>-29. Ans. (c)<br />

<strong>IES</strong>-30. Ans. (a) To ensure co-phasor primary and secondary windings.<br />

<strong>IES</strong>-31. Ans. (d)<br />

<strong>IES</strong>-32. Ans. (c) V<br />

bd<br />

= V<br />

bc<br />

+ V<br />

cd<br />

= 230∠ 0 ° +115 ∠ -120 ° =115 3 V<br />

m<br />

2<br />

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