Electromagnetic Induction And Alternating Current Ques 90

90. In the method using the transformers, assume that the ratio of the number of turns in the primary to that in the secondary in the step-up transformer is $1: 10$. If the power to the consumers has to be supplied at $200 \mathrm{~V}$, the ratio of the number of turns in the primary to that in the secondary in the step-down transformer is

(a) $200: 1$

(b) $150: 1$

(c) $100: 1$

(d) $50: 1$

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Answer:

Correct Answer: 90.(a)

Solution:

Formula:

Mutual Inductance:

  1. During step-up, $\frac{N_{p}}{N_{s}}=\frac{V_{p}}{V_{s}}$ or $\frac{1}{10}=\frac{4000}{V_{s}}$

or $\quad V_{s}=40000 \mathrm{~V}$

In step down transformer,

$$ \frac{N_{p}}{N_{s}}=\frac{V_{p}}{V_{s}}=\frac{40000}{200}=\frac{200}{1} $$