Question

A transformer is connected to a 200 V AC source. The transformer supplies 3000 V to a device. If the number of turns in the primary coil is 450, then the number of turns in its secondary coil is:

(A) 30

(B) 450

(C) 4500

(D) 6750

Answer 1

Correct option is (D) 6750

The transformer's voltage ratio is directly proportional to the ratio of the number of turns in the secondary coil (N_s) to the number of turns in the primary coil (N_p).

This relationship is given by the formula:

\(\frac {V_s}{V_p} = \frac {N_s}{N_p}\),

where V_s is the secondary voltage and V_p is the primary voltage.

We are given V_p = 200 V, V_s = 3000 V, and N_p = 450. We need to solve for N_s.

Substituting the given values into the formula:

\(\frac{3000 V } {200 V} = \frac {N_s }{ 450}\)

Solving for N_s:

\(N_s =(\frac{3000 V} {200 V}) \times 450 = 15 \times 450 = 6750\)

Therefore, the number of turns in the secondary coil is 6750.

Answer 2

Correct option is : (D) 6750