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  • An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to:<div class='qna-op

An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to:

Option: 1

0.08 H


Option: 2

0.044 H


Option: 3

0.065 H


Option: 4

80 H


Answers (1)

best_answer

\mathrm{\mathrm{R}=\frac{80}{10}=8 \Omega}

Also,\mathrm{ \mathrm{V}_{\mathrm{L}}^2+80^2=220^2 }
\mathrm{ \begin{aligned} & \mathrm{V}_{\mathrm{L}}^2=(220+80)(220-80)=300 \times 140 \\ & \Rightarrow \mathrm{V}_{\mathrm{L}}=204.9 \Rightarrow \mathrm{I}_{\mathrm{mas}} \mathrm{X}_{\mathrm{L}}=204.9 \\ & \Rightarrow \frac{220}{\sqrt{64+\mathrm{X}_{\mathrm{L}}^2}} \mathrm{X}_{\mathrm{L}}=204.9 \\ & \Rightarrow \mathrm{X}_{\mathrm{L}}=19.9 \\ & \Rightarrow \mathrm{L}=0.065 \mathrm{H} \end{aligned} }
 

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Pankaj

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