In a transformer, the input current and voltage are 3 A and 50 V respectively. The ratio of the number of turns in the primary coil to secondary coil is 5 : 3. The output current and voltage, respectively, are
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 5 A and 30 V
Given:
$ I_p = 3 \, A , \; V_p = 50 \, V $
$ \frac{N_p}{N_s} = \frac{5}{3} $
Transformer relations:
$ \frac{V_p}{V_s} = \frac{N_p}{N_s} $
$ \frac{I_s}{I_p} = \frac{N_p}{N_s} $
From voltage relation:
$ \frac{50}{V_s} = \frac{5}{3} $
$ V_s = \frac{50 \times 3}{5} = 30 \, V $
From current relation:
$ \frac{I_s}{3} = \frac{5}{3} $
$ I_s = 5 \, A $
Final result:
Output current $= 5 \, A$
Output voltage $= 30 \, V$