A step down transformer connected to an AC mains supply of 220 V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit? [2021]

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Solution

Q.
A step down transformer connected to an AC mains supply of 220 V is made to operate at 11 V, 44 W lamp. Ignoring power losses in the transformer, what is the current in the primary circuit [2021]

1 4 A

2 0.2 A

3 0.4 A

4 2 A

Ans.
(2)

Here, $P = 44$ $W,$ $V_{p} = 220$ $V,$ $V_{s} = 11$ $V$

Power, $P = V_{s} I_{s}$

$44 = 11 \times I_{s} \Rightarrow I_{s} = \frac{44}{11} = 4$ $A$

Now, $V_{p} I_{p} = V_{s} I_{s}$

$220 \times I_{p} = 11 \times 4 \Rightarrow I_{p} = \frac{11 \times 4}{220} = \frac{4}{20} = 0.2$ $A$

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