V1 M Given the circuit shown in figure 1 with component values R = 10 kN, C = 1 µF and L = 22mH. Voltage sources V₂ = 3 V (DC) and V₁ = 1.732 +j V (AC) with frequency f₁ [Hz] which is not yet defined. Assume the circuit has reached steady state (no transients in response). Determine the following using your phasors knowledge. All answers reported must be in the time domain. Fill in the corresponding section of the answer sheet: a) If frequency f₁ =is set to 100 Hz, calculated the voltage over the resistor, capacitor, and inductor. Note there are two voltage sources in the circuit. b) If frequency f₁ is set to 2.5 kHz, calculated the voltage over the resistor, capacitor, and inductor. Note there are two voltage sources in the circuit. c) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which frequency can the load be considered resistive (two decimal accuracy required)? d) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which range of frequencies can the load be considered inductive (two decimal accuracy required)? e) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which range of frequencies can the load be considered capacitive

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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V2
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Given the circuit shown in figure 1 with component values R = 10 kº, C = 1 µF and L = 22mH.
Voltage sources V₂ = 3 V (DC) and V₁ = 1.732 + j V (AC) with frequency f₁ [Hz] which is not yet
defined. Assume the circuit has reached steady state (no transients in response).
Determine the following using your phasors knowledge. All answers reported must be in the
time domain. Fill in the corresponding section of the answer sheet:
a) If frequency f₁ is set to 100 Hz, calculated the voltage over the resistor, capacitor, and
inductor. Note there are two voltage sources in the circuit.
b) If frequency f₁ is set to 2.5 kHz, calculated the voltage over the resistor, capacitor, and
inductor. Note there are two voltage sources in the circuit.
c) If we consider the resistor, capacitor and inductor as the load connected to the two
voltage sources, at which frequency can the load be considered resistive (two decimal
accuracy required)?
d) If we consider the resistor, capacitor and inductor as the load connected to the two
voltage sources, at which range of frequencies can the load be considered inductive
(two decimal accuracy required)?
e) If we consider the resistor, capacitor and inductor as the load connected to the two
voltage sources, at which range of frequencies can the load be considered capacitive
(two decimal accuracy required)?
Transcribed Image Text:V1 + C V2 R Given the circuit shown in figure 1 with component values R = 10 kº, C = 1 µF and L = 22mH. Voltage sources V₂ = 3 V (DC) and V₁ = 1.732 + j V (AC) with frequency f₁ [Hz] which is not yet defined. Assume the circuit has reached steady state (no transients in response). Determine the following using your phasors knowledge. All answers reported must be in the time domain. Fill in the corresponding section of the answer sheet: a) If frequency f₁ is set to 100 Hz, calculated the voltage over the resistor, capacitor, and inductor. Note there are two voltage sources in the circuit. b) If frequency f₁ is set to 2.5 kHz, calculated the voltage over the resistor, capacitor, and inductor. Note there are two voltage sources in the circuit. c) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which frequency can the load be considered resistive (two decimal accuracy required)? d) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which range of frequencies can the load be considered inductive (two decimal accuracy required)? e) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which range of frequencies can the load be considered capacitive (two decimal accuracy required)?
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