A bulb of residence 10 ohm connected to an indicator of inductance L in series with an AC voltage source marked 100V , 50 Hz . If the phase angle between voltage & current is x/4 radium. Calculate L and peak value of AC current . What will be current if AC source is replaced by DC source of same voltage
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Answer:
Current the both the bulb and teh inductor is same let I.
voltage across the bulb = v
′
100I
voltage across the inductor v=100−10I
and V = IX
L
= 100 - 10I
and we know tan ϕ =
R
X
L
= 1
ωL = 10
L =
50
10
= 0.5 H
tan 45 =
R
X
L
= 1
X
L
= R = 10 ohm
IX
L
=100−10I
20I=100
I = 5A
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