Question

A power plant has two types of transformers. The first type of transformer triples voltage and the second type of transformer reduces voltage by half. If both transformers have the same number of primary turns, how many secondary turns does the first type of transformer have?

a. 3/2 of the secondary turns in the second type of transformer

b. 1/6 of the secondary turns in the second type of transformer

c. 2/3 of the secondary turns in the second type of transformer

d. 6 times the secondary turns in the second type of transformer

Answer 1

d . 6 times the secondary turns in the second type of transformer

Step-by-step explanation:

In transformer , voltage is increased or decreased according to ratio of no of turns in secondary to no of turns in primary coil . The relation is as follows

V₂ / V₁ = n₂/n₁

n₁ and n₂ are no of turns in primary and secondary coil and V₁ and V₂ are voltage in primary and secondary coil.

for first type , Let no of turn in primary = n and no of turn in secondary = n₁

V₂ / V₁ = 3

so

n₁/n = 3

n = n₁ /3

n₁ = 3n

For second type , let no of turn in secondary = n₂

V₂ / V₁ = .5

n₂/n = .5

n₂ = .5n

n₂ / n₁ = .5n / 3n

n₂ / n₁ = 1 / 6

n₁ = 6n₂

option d is correct .