20) The primary winding of transformer has 500 turns whereas its secondary has 5000 turns. The primary is connected to an ac supply of 20 V, 50 Hz . The secondary will have an output of.

(A) 200 V, 50 Hz
(B) 2 V, 50 Hz
(C) 200 V, 500 Hz
(D) 2 V, 5 Hz

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Solution

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$t h e f r e q u e n c y o f t h e i n p u t s i g n a l o r t h e v o l t a g e i n t h e p r i m a r y c i r c u i t = t h e f r e q u e n c y o f t h e o u t p u t s i g n a l o r t h e v o l t a g e i n t h e s e c o n d a r y c i r c u i t = 50 H z r a l a t i o n b e t w e e n t h e v o l t a g e s i n t h e p r i m a r y a n d t h e s e c o n d a r y c i r c u i t i s \frac{E_{s}}{E_{p}} = \frac{N_{s}}{N_{p}} \frac{E_{s}}{20} = \frac{5000}{500} \frac{E_{s}}{20} = 10 E_{s} = 200 v o l t R e g a r d s$

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In a transformer N_p = 500, N_s = 5000. Input voltage is 20 V and frequency is 50 Hz. Then in the output, we have,

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