A standard filament lamp consumes 100 ~W when connected to 200 ~V a.c. mains supply. The peak current through the bulb will be :

Correct answer: A. 0.707 ~A Power, aligned P & =I_ rms V_ rms I_ rms & = P V_ rms =(100)/(200)=(1)/(2) I_0 & = 2 I_ rms I_0 & = 2 × (1)/(2) I_0 & = 1 2 =0.707 ~A aligned

NEET 2022

Exam: NEET
Year: 2022
Subject: Physics
Chapter: Alternating Current

NEET 2022 · Physics · Alternating Current

A standard filament lamp consumes 100 ~W when connected to 200 ~V...

A standard filament lamp consumes

100 \mathrm{~W}

when connected to

200 \mathrm{~V}

a.c. mains supply. The peak current through the bulb will be :

Options

A $0.707 \mathrm{~A}$
B $1 \mathrm{~A}$
C $1.414 \mathrm{~A}$
D $2 \mathrm{~A}$

Correct answer

A. $0.707 \mathrm{~A}$

Step-by-step solution

Power,

\begin{aligned} \mathrm{P} & =\mathrm{I}_{\mathrm{rms}} \mathrm{V}_{\mathrm{rms}} \\ \mathrm{I}_{\mathrm{rms}} & =\frac{\mathrm{P}}{\mathrm{V}_{\mathrm{rms}}}=\frac{100}{200}=\frac{1}{2} \\ \mathrm{I}_0 & =\sqrt{2} \mathrm{I}_{\mathrm{rms}} \\ \mathrm{I}_0 & =\sqrt{2} \times \frac{1}{2} \\ \mathrm{I}_0 & =\frac{1}{\sqrt{2}}=0.707 \mathrm{~A} \end{aligned}

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