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 |
5 A and 20 V 6 A and 30 V 4 A and 50 V 5 A and 30 V |
5 A and 30 V |
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 $= 30 \, V$ |