Alternating Current Ques 38

38. The primary winding of a transformer has $500$ turns whereas its secondary has $5000$ turns. The primary is connected to an $A.C.$ supply of $20$ $ V$, $50$ $ Hz$. The secondary will have an output of

[1997]

(a) $2$ $V, 5 $ $Hz$

(b) $200 $ $V, 500 $ $Hz$

(c) $2$ $ V, 50 $ $Hz$

(d) $200 $ $V, 50 $ $Hz$

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Answer:

Correct Answer: 38.(d)

Solution:

  1. (d) The transformer converts $A.C.$ high voltage into $A.C$. low voltage, but it does not cause any change in frequency. The formula for voltage is

$\frac{E_s}{E_p}=\frac{N_s}{N_p} \Rightarrow E_s=\frac{N_s}{N_p} \times E_p$

$=\frac{5000}{500} \times 20=200 $ $V$

Thus, output has voltage $200 $ $V$ and frequency $50$ $ Hz$.