Consider a circuit in which a coil having inductance of 0.02H and resistance of 5Ω connected across 200V, 50Hz supply in series with a resistance of 5Ω. Considering all parameters with their behavior determine following below:
Evaluate capacitive reactance of the circuit.
Calculate inductive reactance of the circuit.
Determine the power factor of the circuit.
Find total impedance of the circuit.
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Explanation:
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Class 12
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A coil having a resistance of 5Ω and an inductance of 0.02H is arranged in parallel with another coil having a resistance of 1Ω and an inductance of 0.08H. Calculate the power absorbed (in W) when a voltage of 100V at 50Hz is applied.
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Correct option is
A
797
X
L
=ωL
1
=(2π×50)(0.02)=6.28Ω
∴Z
1
=
R
1
2
+X
2
L
1
=
(5)
2
+(6.28)
2
=8.0 Ω
P
1
=(I
rms
)
1
V
rms
cosϕ
1
=(
8
100
) (100) (
8
5
)
=781.25 W
∣X
L
2
=ωL
2
=(2π×50)(0.08)=25.13Ω
∴Z
2
=
R
2
2
+X
L
2
2
25.15 Ω
∴P
2
=(i
rms
)
2
V
rms
cosϕ
2
=(
25.15
100
)(100)(
25.15
1
)
=15.8 W
∴P
Total
=P
1
+P
2
=797 W