Assuming the passive sign convention and an operating frequency of 314 rad/s, calculate the phasor voltage V which appears across each of the following when driven by the phasor current : (a) a 2 Ω resistor; (b) a 1 F capacitor; (c) a 1 H inductor; (d) a 2 Ω resistor in series with a 1 F capacitor; (e) a 2 Ω resistor in series with a 1 H inductor. (f) Calculate the instantaneous value of each voltage determined in parts (a) to (e) at t = 0.
(a)
Find the phasor voltage across
Answer to Problem 33E
The phasor voltage across
Explanation of Solution
Given data:
Formula used:
Consider the expression of phasor voltage across resistor.
Here,
Calculation:
Substitute
Conclusion:
Thus, the phasor voltage across
(b)
Find the phasor voltage across
Answer to Problem 33E
The phasor voltage across
Explanation of Solution
Formula used:
Consider the expression of phasor voltage across capacitor.
Here,
Calculation:
Substitute
Conclusion:
Thus, the phasor voltage across
(c)
Find the phasor voltage that developed across
Answer to Problem 33E
The phasor voltage that developed across
Explanation of Solution
Formula used:
Consider the expression of phasor voltage across inductor.
Here,
Calculation:
Substitute
Conclusion:
Thus, the phasor voltage that developed across
(d)
Find the phasor voltage across series connected
Answer to Problem 33E
The phasor voltage across a series connected
Explanation of Solution
Calculation:
Find total voltage across a series connected
Substitute
Conclusion:
Thus, the phasor voltage across a series connected
(e)
Find the phasor voltage across series connected
Answer to Problem 33E
The phasor voltage across a series connected
Explanation of Solution
Calculation:
Find total voltage across a series connected
Substitute
Conclusion:
Thus, the phasor voltage across a series connected
(f)
Find the instantaneous value of each voltage obtained in parts (a) to (e) at
Answer to Problem 33E
The instantaneous value of each voltage obtained in parts (a) to (e) at
Explanation of Solution
Formula used:
Consider the general expression for voltage response.
The complex form of voltage response is,
Calculation:
Part (a):
The phasor voltage across
The instantaneous voltage across
Part (b):
The phasor voltage across
The instantaneous voltage across
Part (c):
The phasor voltage across
The instantaneous voltage across
Part (d):
The phasor voltage across a series connected
The instantaneous voltage across series connected
Part (e):
The phasor voltage across a series connected
The instantaneous voltage across series connected
Conclusion:
Thus, the instantaneous value of each voltage obtained in parts (a) to (e) at
Want to see more full solutions like this?
Chapter 10 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- Capacitive Circuits Fill in all the missing values. Refer to the formulas that follow. XC=12fCC=12fXCf=12CXc Capacitance XC Frequency 38 F 60 Hz 78.8 400 Hz 250 pF 4.5 k 234 F 10 kHZ 240 50 Hz 10 F 36.8 560 nF 2 MHz 15 k 60 Hz 75 nF 560 470 pF 200 kHz 6.8 k 400 Hz 34 F 450arrow_forwardAssume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF Carrow_forwardConvert the following instantaneous currents to phasors, using cos(t) as the reference. Give your answers in both rectangular and polar form. (a) i(t)=5002cos(t30) (b) i(t)=4sin(t+30) (c) i(t)=5cos(t15)+42sin(t+30)arrow_forward
- A 0.33 μF capacitor is charged to 150 VDC. It is then connected to another capacitor of capacitance 4 times the capacitance of it. Find the loss of energy. Select one O a. Not on the list b. 29.71 x 10 J c. 25.14 x 10 d. 29.17 x 10 J e. 39.35 x 10¹arrow_forwardA 206.0-2 resistor and a 2.80-µF capacitor are connected in series across the terminals of a sinusoidal emf with a frequency of 150 Hz. The inductance of the circuit is negligible. What is the impedance of the circuit? Ωarrow_forwardIn a series ac circuit operating at 60-Hz ac source has a voltage amplitude of 120 V, the capacitive reactance is 60092, the inductive reactance is 300 2, and the resistance is 300 2. What is the capacitance C of the capacitor? 60 Hz с real L 3.6 microfarad 7.9 microfarad 4.4 microfarad 60.5 microfarad O 2.7 microfarad Rarrow_forward
- R=1 ka A Oscilloscope V-5 V f=500 Hz In the given circuit, a sinusoidal signal is applied at the source, current measured by AVO meter is 0.01A (RMS) and voltage measured by oscilloscope is 25mV(peak). What is the capacitance value of capacitor? Lütfen birini seçin: a.1 uF b.0.18 mF c.0.15 mF d.0.1mF e.0.12 mFarrow_forwardDetermine the equivalent impedance seen by the capacitor. Assume the frequency is 25 rad/sec and that both inductors share the same value. R₁ = 600 R₂ = 5092 L=4H C = 0.8 mF мее ww R₁ с R₂ mmarrow_forward9) When a capacitor is connected to an a.c. supply the current (a) leads the voltage by 180° (b) is in phase with the voltage (d) lags the voltage by 90° (c) leads the voltage by n/2 rad 10) In an R-L-C series a.c. circuit a current of 5 A flows when the supply voltage is 100 V. The phase angle between current and voltage is 60° lagging. Which of the following statements is false? (a) The circuit is effectively inductive (b) The apparent power is 500 VA (d) The true power is 250 W (c) The equivalent circuit reactance is 25 2arrow_forward
- 4) Draw phasor diagrams for the following: a) 5 + j2 b) −10 −j20 c) 8∠45° d) 2∠−35°arrow_forwardFind the voltage across the capacitor shown in the following circuit. Note: Phasor analysis. Repeat the calculation but use f=10^6 Hzarrow_forwardInductance of the coil is given by O a. L= 10 / N O b. L= N|I O c. L= N® / O d. L= N0 / Tarrow_forward
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningPower System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning