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Question

Question: The output of a step-down transformer is measured to be 24 V when connected to a 12 watt light bulb....

The output of a step-down transformer is measured to be 24 V when connected to a 12 watt light bulb. The value

of the peak current is

A

12A\frac{1}{\sqrt{2}}A

B

2A\sqrt{2}A

C

2 A\text{2 A}

D

22 A2\sqrt{2}\text{ A}

Answer

12A\frac{1}{\sqrt{2}}A

Explanation

Solution

: Here, Vs=24V,Ps=12WV_{s} = 24V,P_{s} = 12W

Is=PsVs=1224=0.5AI_{s} = \frac{P_{s}}{V_{s}} = \frac{12}{24} = 0.5A

Im=2Is=2×0.5=12AI_{m} = \sqrt{2}I_{s} = \sqrt{2} \times 0.5 = \frac{1}{\sqrt{2}}A