Q. 25. A Rogowski coil is required to measure a 2 A current at a frequency of 4 kHz. The voltmeter is connected across the integrating circuit shown in the Fig. 5. For proper integration, the circuit time constant RC is selected to be 10 times less than the period of the wave. If the coil has an effective area of 103 m², an axial length of 0.3 m, and 100 turns, find the reading of the voltmeter: A) 41.9 mV C) 26.82 mV D) 33.52 mV B) 52.38 mV Q. 26. A solid dielectric of 1 cm thickness and relative permittivity &, -3.3 has an internal void filled with air which breaks down at 30kV/cm. If internal discharge occurs when the applied voltage reaches 8.3 kV rms, determine the thickness of the void. A) 1.07 mm B) 0.67 mm C) 1.27 mm (D) 0.87 mm

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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please solve parts 25 and 26

An experiment in a certain gas to find Townsend's coefficients resulted in the curve shown in the
fig. 2 where d is the distance between the plates, and I is the current. the field value was kept
fixed throughout the experiment. Answer questions Q21 & Q22.
Q. 21. If the labeled slope is 9/cm, the steady-state current is 0.5 nA at d-0.2 cm. The critical threshold
distance for sustained discharge is 0.8 cm. Find the current when d-0.75 cm noting that at this distance
the curve is out of the linear range.
A) 192.65 NA B) 190.65 nA
C) 188.65 nA
(D) 194.65 NA
Q. 22. If the critical threshold distance for sustained discharge is d-0.77 cm, the value of Townsend's
second ionization coefficient is 0.102%, and the steady-state current is 0.57 nA at d-0.4 cm. And if the
current after increasing the distance is 1.22 nA, find the percentage of the supply voltage increment
assuming you are working in the linear range.
A) 17.3%
B) 23.3%
D 21.3%
Slope
d1
d
C) 19.3%
C',
Ra
w
EN, Rp
1(t)
0
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Q. 23. For the transformer ratio arm bridge shown in Fig. 3, C's-200 nF, Ra-137.5 M2, Rp 10 G,
and Cp-20 nF. What of the following could be the ratio Na: Nb to balance the bridge.
(A) 110: 690
C) 100: 680
B) 140: 670
D) 150: 680
vo(t)
Q. 24. A 4 kV, 110 Hz Schering bridge with a grounded detector as shown in fig. 4 has Cs-100 pF. In
a test on an insulator, the balance was obtained with C4-0.2 μF, R4-210 52, and R3= 140 2. By
removing the insulator from the measuring system, the balance will be reached at R3=700 £2 and
C4-0.004 µF. Consider the system stray capacitance and leakage and find the insulator parallel
resistance Rp.:
Α) 306.62 ΜΩ
Β) 316.62 ΜΩ
C) 326.62 ΜΩ
D) 336.62 ΜΩ
Q. 25. A Rogowski coil is required to measure a 2 A current at a frequency of 4 kHz. The voltmeter is
connected across the integrating circuit shown in the Fig. 5. For proper integration, the circuit time
constant RC is selected to be 10 times less than the period of the wave. If the coil has an effective area
of 103 m², an axial length of 0.3 m, and 100 turns, find the reading of the voltmeter:
A) 41.9 mV B) 52.38 mV C) 26.82 mV
D) 33.52 mV
Q. 26. A solid dielectric of 1 cm thickness and relative permittivity &, 3.3 has an internal void filled
with air which breaks down at 30kV/cm. If internal discharge occurs when the applied voltage reaches
8.3 kV rms, determine the thickness of the void.
A) 1.07 mm
B) 0.67 mm
C) 1.27 mm
(D) 0.87 mm
Q. 27. A specimen is tested for insulation resistance by the loss of charge method. The specimen
capacitance is 2.8 nF. It is observed that after charging, the voltage falls to half the initial value in one
minute. If the voltmeter used is assumed with infinite resistance, determine the insulator resistance.
A) 44.14 G B) 27.08 G
C) 30.91 GN
D) 90.48 GN
Transcribed Image Text:An experiment in a certain gas to find Townsend's coefficients resulted in the curve shown in the fig. 2 where d is the distance between the plates, and I is the current. the field value was kept fixed throughout the experiment. Answer questions Q21 & Q22. Q. 21. If the labeled slope is 9/cm, the steady-state current is 0.5 nA at d-0.2 cm. The critical threshold distance for sustained discharge is 0.8 cm. Find the current when d-0.75 cm noting that at this distance the curve is out of the linear range. A) 192.65 NA B) 190.65 nA C) 188.65 nA (D) 194.65 NA Q. 22. If the critical threshold distance for sustained discharge is d-0.77 cm, the value of Townsend's second ionization coefficient is 0.102%, and the steady-state current is 0.57 nA at d-0.4 cm. And if the current after increasing the distance is 1.22 nA, find the percentage of the supply voltage increment assuming you are working in the linear range. A) 17.3% B) 23.3% D 21.3% Slope d1 d C) 19.3% C', Ra w EN, Rp 1(t) 0 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Q. 23. For the transformer ratio arm bridge shown in Fig. 3, C's-200 nF, Ra-137.5 M2, Rp 10 G, and Cp-20 nF. What of the following could be the ratio Na: Nb to balance the bridge. (A) 110: 690 C) 100: 680 B) 140: 670 D) 150: 680 vo(t) Q. 24. A 4 kV, 110 Hz Schering bridge with a grounded detector as shown in fig. 4 has Cs-100 pF. In a test on an insulator, the balance was obtained with C4-0.2 μF, R4-210 52, and R3= 140 2. By removing the insulator from the measuring system, the balance will be reached at R3=700 £2 and C4-0.004 µF. Consider the system stray capacitance and leakage and find the insulator parallel resistance Rp.: Α) 306.62 ΜΩ Β) 316.62 ΜΩ C) 326.62 ΜΩ D) 336.62 ΜΩ Q. 25. A Rogowski coil is required to measure a 2 A current at a frequency of 4 kHz. The voltmeter is connected across the integrating circuit shown in the Fig. 5. For proper integration, the circuit time constant RC is selected to be 10 times less than the period of the wave. If the coil has an effective area of 103 m², an axial length of 0.3 m, and 100 turns, find the reading of the voltmeter: A) 41.9 mV B) 52.38 mV C) 26.82 mV D) 33.52 mV Q. 26. A solid dielectric of 1 cm thickness and relative permittivity &, 3.3 has an internal void filled with air which breaks down at 30kV/cm. If internal discharge occurs when the applied voltage reaches 8.3 kV rms, determine the thickness of the void. A) 1.07 mm B) 0.67 mm C) 1.27 mm (D) 0.87 mm Q. 27. A specimen is tested for insulation resistance by the loss of charge method. The specimen capacitance is 2.8 nF. It is observed that after charging, the voltage falls to half the initial value in one minute. If the voltmeter used is assumed with infinite resistance, determine the insulator resistance. A) 44.14 G B) 27.08 G C) 30.91 GN D) 90.48 GN
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