Concept explainers
Use mesh analysis to find current io in the circuit of Fig. 10.74.
Figure 10.74
For Prob. 10.26.
Find the current
Answer to Problem 26P
The value of current
Explanation of Solution
Formula used:
Write the expression to calculate impedance of the inductor.
Here,
Write the expression to calculate impedance of the capacitor.
Here,
Write the general representation of sinusoidal function.
Here,
Write the general expression to phasor transform of sinusoidal function from time domain to frequency domain.
Here,
Write the polar form representation of frequency domain.
Calculation:
Comparing given source voltage
Substitute
Convert
Substitute
Substitute
The frequency domain representation of given figure with the assumed current direction is shown in Figure 1.
Apply Kirchhoff’s voltage law to the loop with current
Apply Kirchhoff’s voltage law to the loop with current
Represent equation (5) and (6) in matrix form.
Obtain the value of determinants as follows.
Write the expression for mesh currents using Cramer’s rule.
Substitute
Substitute
From Figure 1, write the expression for current
Substitute
Represent the current in time domain.
Conclusion:
Therefore, the value of current
Want to see more full solutions like this?
Chapter 10 Solutions
Fundamentals of Electric Circuits
- find current I° in the circuit of Fig. 10.8 using the superposition theorem.arrow_forwardEmploy phasor analysis techniques to obtain expressions for the two mesh currents i1 and i2 as shown in Fig. 10.61. Circuit attached in image.arrow_forwardCalculate the output voltage developed by the circuit of Fig. 10.68 for Rf 330 kilo ohms.arrow_forward
- Employ phasor-based analysis to obtain an expression for i(t) in the circuit of Fig. 10.57. Image attached.arrow_forwardObtain an expression for the power dissipated in the 10 Ω resistor of Fig. 10,49. assuming no transients present.arrow_forward448 PART 2 ACCirc 10.41 Use superposition to calculate vy in the circuit of Fig. 10.85. 20 5in(5000) V.arrow_forward
- A radiograph is taken with a control console setting of: 80 ms, 120 mA find the mAs value. A. 9600mAs B. 96mAs C. 9.6mAs D. 6.7mAsarrow_forwardReferring to the circuit of Fig. 10.59, employ phasor-based analysis techniques to determine the two nodal voltages. (Circuit attached in image).arrow_forward10. Voltage flows through an electric circuit like water flows through a pipe. Select one: TRUE FALSEarrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,