Answer number 14.write youe solution pls.
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 2.1MCQ: The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmax
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Answer number 14.write youe solution pls.
![Single Phase AC Circuits
1. Wavelength is the distance traveled by an electronic wave during the time of one cycle.
Given a wave having a frequency of 100 kHz, what is the waelength?
2. In a single-phase circuit VA = 11 + j16 V and Vg = 12 – j12 V with respect to a
reference node 0. Calculate VaB:
3. What is the rms value of a square wave with an amplitude of 10 A and a frequency of 1
Hz?
4. A sinusoidal current wave has an rms value of 20 A. What is the average value of one-
half cycle?
5. Three alternating currents are given by i = 141 sin(wt + 45°);
iz = 30 sin (wt + 90°); iz = 20 sin (wt – 120°). Find the equation of the resultant
current.
6. A sinusoidal voltage source has a peak to peak value of 200 volts. What equivalent DC
voltage source would produce the same heating effect in a 1 ohm resistor?
7. An alternating current and direct current flows simultaneously in the same conductor.
If the effective value of the AC is 8A and DC is 12 A, what will an AC ammeter read when
connected in the circuit?
8. A series circuit has an applied voltage of V = 220sin (wt + 30°) and draws a
current I = 10sin (wt – 30°). What is the average power and power factor of the
circuit?
9. The effective voltage across a circuit element is (20+ j10)V and the effective current
through the element is 4 – j3 A. Calculate the true and the reactive power taken by the
element.
10. A 110-Volt AC line feeds two circuits in parallel. The currents are (2.2 – j6.5)A
and(1.8 – j3.5)A. The power consumed by the two circuits is approximately.
11. The current thru an inductor with inductance of 1mH is given as
i(t) = 0.010sin 10°t A. What is the voltage across this conductor?
12. A two-element series circuit has voltage V = 240 + j0 V and current I = 48 – j36 A.
Find the current in amperes which results when the resistance is reduced to 50% of its
former value.
13. A 200mH inductor and an 80 ohm resistor are connected in parallel across a 100 V rms,
60 Hz source. By what angle does the total current lead or lag behind the voltage?
14. A capacitor in series with a 1.2 kohm resistor draws a current of 2.8 ampere from 220
Volts, 60 Hz source. What is the value of a capacitor in microfarad?
15. A
series
RLC
circuit
has
elements R = 150 ohms,
L = 18 mH
and
C =
2.22 microfarads. What is the equivalent impedance of the circuit if the frequency is
60 Hz?.
16. Find the value of impedance which absorbs a complex power of 2300 VA with a 30
degrees angle at 115 V rms.
17. A series RLC circuit has R = 10 N, L = 40 × 10-6H and C = 60 × 10-12 F. What is the
resonant of the circuit in MHz?
18. A series circuit consists of a 120-ohm resistance, a 150 mH inductance and an unknown
capacitance. The circuit is supplied with a voltage V = 100 sin377t. Find the value of
the capacitance at resonance.
19. A parallel RLC circuit has a resonant frequency of 20, 000 rad/sec. If L is equal to 100
mH, find the value of C?
20. A tuned circuit is resonant at 400 kHz. Its Q is 100. What is its bandwidth?
21. A current of 2.5 A flows through a series circuit consisting of a 100 N resistor and an
unknown capacitor across a source of 460 V, 50 Hz. What is the value of the capacitive
reactance?
22. A circuit consists of a 4 N resistor and 300 µF capacitor in series. It is connected across
a 60 Hz voltage source with a 500 V peak voltage. What is the phasor form of the
current?
23. The voltage across a given circuit is 15 + j10 V. What is the power supplied to the
circuit if the current through it is (18 – j5)A?
24. The following are in series R = 2,000 N, L = 600 µH and C = 80,000 pF. The voltage
across the circuit is 200 V. What is the total impedance expressed in ohms if the
frequency is 100 kHz?
25. The maximum instantaneous voltage and current output of an alternator are 300 V and
20 A, respectively. What is the power output in watts if the voltage leads the current by
30°.
26. A two-element series circuit with R = 15 N, L = 20 mH has an impedance of 30 ohms
and an unknown angle. What is the frequency in Hz?
27. A 15mH pure inductance is connected in parallel with one microfarad capacitor and a
1kohm resistor. What frequency will the circuit be in resonance?
28. A 10 ohm resistor is connected in parallel to an impedance Z = 20 – j4 ohms. Find the
circuit power factor?
29. The resistor of 100 ohms and unknown impedance coil in series draw 12 A from a 120
V, 60 Hz line. If the reactive power taken from the line is 1152 vars, what is the coil
inductance?
20 A nanallel ginguit gona
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Transcribed Image Text:Single Phase AC Circuits
1. Wavelength is the distance traveled by an electronic wave during the time of one cycle.
Given a wave having a frequency of 100 kHz, what is the waelength?
2. In a single-phase circuit VA = 11 + j16 V and Vg = 12 – j12 V with respect to a
reference node 0. Calculate VaB:
3. What is the rms value of a square wave with an amplitude of 10 A and a frequency of 1
Hz?
4. A sinusoidal current wave has an rms value of 20 A. What is the average value of one-
half cycle?
5. Three alternating currents are given by i = 141 sin(wt + 45°);
iz = 30 sin (wt + 90°); iz = 20 sin (wt – 120°). Find the equation of the resultant
current.
6. A sinusoidal voltage source has a peak to peak value of 200 volts. What equivalent DC
voltage source would produce the same heating effect in a 1 ohm resistor?
7. An alternating current and direct current flows simultaneously in the same conductor.
If the effective value of the AC is 8A and DC is 12 A, what will an AC ammeter read when
connected in the circuit?
8. A series circuit has an applied voltage of V = 220sin (wt + 30°) and draws a
current I = 10sin (wt – 30°). What is the average power and power factor of the
circuit?
9. The effective voltage across a circuit element is (20+ j10)V and the effective current
through the element is 4 – j3 A. Calculate the true and the reactive power taken by the
element.
10. A 110-Volt AC line feeds two circuits in parallel. The currents are (2.2 – j6.5)A
and(1.8 – j3.5)A. The power consumed by the two circuits is approximately.
11. The current thru an inductor with inductance of 1mH is given as
i(t) = 0.010sin 10°t A. What is the voltage across this conductor?
12. A two-element series circuit has voltage V = 240 + j0 V and current I = 48 – j36 A.
Find the current in amperes which results when the resistance is reduced to 50% of its
former value.
13. A 200mH inductor and an 80 ohm resistor are connected in parallel across a 100 V rms,
60 Hz source. By what angle does the total current lead or lag behind the voltage?
14. A capacitor in series with a 1.2 kohm resistor draws a current of 2.8 ampere from 220
Volts, 60 Hz source. What is the value of a capacitor in microfarad?
15. A
series
RLC
circuit
has
elements R = 150 ohms,
L = 18 mH
and
C =
2.22 microfarads. What is the equivalent impedance of the circuit if the frequency is
60 Hz?.
16. Find the value of impedance which absorbs a complex power of 2300 VA with a 30
degrees angle at 115 V rms.
17. A series RLC circuit has R = 10 N, L = 40 × 10-6H and C = 60 × 10-12 F. What is the
resonant of the circuit in MHz?
18. A series circuit consists of a 120-ohm resistance, a 150 mH inductance and an unknown
capacitance. The circuit is supplied with a voltage V = 100 sin377t. Find the value of
the capacitance at resonance.
19. A parallel RLC circuit has a resonant frequency of 20, 000 rad/sec. If L is equal to 100
mH, find the value of C?
20. A tuned circuit is resonant at 400 kHz. Its Q is 100. What is its bandwidth?
21. A current of 2.5 A flows through a series circuit consisting of a 100 N resistor and an
unknown capacitor across a source of 460 V, 50 Hz. What is the value of the capacitive
reactance?
22. A circuit consists of a 4 N resistor and 300 µF capacitor in series. It is connected across
a 60 Hz voltage source with a 500 V peak voltage. What is the phasor form of the
current?
23. The voltage across a given circuit is 15 + j10 V. What is the power supplied to the
circuit if the current through it is (18 – j5)A?
24. The following are in series R = 2,000 N, L = 600 µH and C = 80,000 pF. The voltage
across the circuit is 200 V. What is the total impedance expressed in ohms if the
frequency is 100 kHz?
25. The maximum instantaneous voltage and current output of an alternator are 300 V and
20 A, respectively. What is the power output in watts if the voltage leads the current by
30°.
26. A two-element series circuit with R = 15 N, L = 20 mH has an impedance of 30 ohms
and an unknown angle. What is the frequency in Hz?
27. A 15mH pure inductance is connected in parallel with one microfarad capacitor and a
1kohm resistor. What frequency will the circuit be in resonance?
28. A 10 ohm resistor is connected in parallel to an impedance Z = 20 – j4 ohms. Find the
circuit power factor?
29. The resistor of 100 ohms and unknown impedance coil in series draw 12 A from a 120
V, 60 Hz line. If the reactive power taken from the line is 1152 vars, what is the coil
inductance?
20 A nanallel ginguit gona
tiuo
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