A coil having a resistance of 5 ohms and Inductance of 30 mH are connected assess a 230 V, 50Hz supply in series. Calculate current, power factor and power consumed.
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Answer:
Explanation:
Given,
Resistance, R=30Ω
Inductive Reactance, X
L
=20Ω
Frequency, f=50Hz
We know,
X
L
=ωL=2πfL
20=X
L
=2π.50.L ___(1)
When frequency of ac source is changed to 100Hz,
X
L
′
=ω
′
L=2π.100.L
⇒X
L
′
=2π.(50×2)L
⇒X
L
′
=20×2Ω (from (1))
⇒X
L
′
=40Ω
Impedance, Z=
X
K
′2
+R
2
=
(40)
2
+(30)
2
Z=50Ω
Current, I=
Z
V
=
50
200
=4A
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