তড়িতশক্তি থেকে তাপ

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

Resistance of lamp by ohm's law,

R=VI=8010=8ΩR=\dfrac{V}{I}=\dfrac{80}{10}=8 \Omega

When inductor is connected in series and source is applied,

V=IZV=IZ

V=IR2+(ωL)2V=I\sqrt{R^2+(\omega L)^2}

Given, I=10 AI=10\ A for lamp to work,

220=1082+(2×π×50×L)2\therefore 220=10\sqrt{8^2+(2 \times \pi \times 50 \times L)^2}

Solving,

L=0.0648 HL=0.0648\ H

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