An impedance coil is connected in parallel with a capacitance C of 12.5 μF. The input voltage to the circuit is 100 V at 31.8 Hz. The phase angle between the two branch currents (I1 and I2) is 120° and the current in the first branch is I1 = 0.5A. Determine the following: a) the current I2 and total current b) the value of R and XL c) the value of inductor (L in mH)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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5. An impedance coil is connected in parallel with a capacitance C of 12.5 μF. The input
voltage to the circuit is 100 V at 31.8 Hz. The phase angle between the two branch
currents (I1 and I2) is 120° and the current in the first branch is I1 = 0.5A. Determine the
following:
a) the current I2 and total current
b) the value of R and XL
c) the value of inductor (L in mH)
d) the total impedance
e) the power factor
f) the value of conductance (G in mƱ) and susceptance (B in Ʊ)
g) total admittance

5. An impedance coil is connected in parallel with a capacitance C of 12.5 µF. The input
voltage to the circuit is 100 V at 31.8 Hz. The phase angle between the two branch
currents (lh and b) is 120° and the current in the first branch is li = 0.5A. Determine the
following:
a) the current l2 and total current
bj the value of R and XL
c) the value of inductor (L in mH)
d) the total impedance
e) the power factor
f) the value of conductance (G in mu) and susceptance (B in µU)
g) total admittance
Transcribed Image Text:5. An impedance coil is connected in parallel with a capacitance C of 12.5 µF. The input voltage to the circuit is 100 V at 31.8 Hz. The phase angle between the two branch currents (lh and b) is 120° and the current in the first branch is li = 0.5A. Determine the following: a) the current l2 and total current bj the value of R and XL c) the value of inductor (L in mH) d) the total impedance e) the power factor f) the value of conductance (G in mu) and susceptance (B in µU) g) total admittance
→ IT
I2
R
100 V
l1 = 0.5 A
Tc = 12.5 µF
XL
Transcribed Image Text:→ IT I2 R 100 V l1 = 0.5 A Tc = 12.5 µF XL
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