An ideal transformer has 550 turns on the primary and 30 turns on the secondary. What is the maximum output p.d if the maximum input voltage is 3,300…

Question

An ideal transformer has 550 turns on the primary and 30 turns on the secondary. What is the maximum output p.d if the maximum input voltage is 3,300 V? And what maximum primary current is required if a maximum current of 11 A is drawn from the secondary? Assuming the transformers is 100% efficient.

Answer 1

An ideal transformer has 550 turns on the primary and 30 turns on the secondary. What is the maximum output p.d if the maximum input voltage is 3,300 V? And what maximum primary current is required if a maximum current of 11 A is drawn from the secondary? Assuming the transformers is 100% efficient.

5.56 V, 1.67 A
180 V, 0.6 A ✓
94 V, 4.2 A
116 V, 2 A

Explanation

For a transformer, V_s ÷ V_p = N_s ÷ N_p.

V_s = 3300 × 30 ÷ 550 = 180 V.

With 100% efficiency, power in = power out, so V_pI_p = V_sI_s. I_p = (180 × 11) ÷ 3300 = 0.6 A.

The step-down transformer lowers the voltage, so the current in the primary is smaller than in the secondary.

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