Alternating Current - Result Question 35

37. A 220 volts input is supplied to a transformer. The output circuit draws a current of 2.0 ampere at 440 volts. If the efficiency of the transformer is $80 %$, the current drawn by the primary windings of the transformer is

[2010]

(a) 3.6 ampere

(b) 2.8 ampere

(c) 2.5 ampere

(d) 5.0 ampere

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Answer:

Correct Answer: 37. (d)

Solution:

(d) $\frac{V_2}{V_1}=0.8 \frac{I_1}{I_2} \Rightarrow \frac{V_2 I_2}{V_1 I_1}=0.8$

$V_1=220 V, I_2=2.0 A, V_2=440 V$

$I_1=\frac{V_2 I_2}{V_1} \times \frac{10}{8}=\frac{440 \times 2 \times 10}{220 \times 8}=5 A$