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:
80H
0.044H
0.08H
0.065H
A
0.08H
B
0.044H
C
80H
D
0.065H
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Solution
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Resistance of lamp by ohm's law,
R=VI=8010=8Ω
When inductor is connected in series and source is applied,
V=IZ
V=I√R2+(ωL)2
Given, I=10A for lamp to work,
∴220=10√82+(2×π×50×L)2
Solving,
L=0.0648H
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