First slide

Electrical machines and devices

Question

In a step-up transformer the turn ratio is 1:10. A resistance of 200 ohm connected across the secondary is drawing a current of 0.5 A. What is the primary voltage and current

Moderate

A

50 V, 1 amp
B

10 V, 5 amp
C

25 V, 4 amp
D

20 V, 2 amp

Solution

$\begin{array}{l} N_{p} : N_{s} = 1 : 10 and V_{s} = 0 .5 \times 200 = 100 V \\ \frac{V_{s}}{V_{p}} = \frac{N_{s}}{N_{p}} \Rightarrow \frac{100}{V_{p}} = \frac{10}{1} \Rightarrow V_{p} = 10 V \\ \frac{i_{p}}{i_{s}} = \frac{N_{s}}{N_{p}} \Rightarrow \frac{i_{p}}{0 .5} = \frac{10}{1}, i_{p} = 5 amp \end{array}$

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