
Concept explainers
Use mesh analysis to find vo in the circuit of Fig. 10.78. Let vs1 = 120 cos (100t + 90°) V, vs2 = 80 cos 100/ V.
Figure 10.78

Find the voltage
Answer to Problem 30P
The value of voltage
Explanation of Solution
Given data:
Refer Figure 10.78 in the textbook for mesh analysis.
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
Comparing given source voltage
Substitute
Substitute
Substitute
Substitute
Substitute
The frequency domain representation of given figure with the representation of node voltage is shown in Figure 1.
Apply Kirchhoff’s voltage law in the loop with current
Apply Kirchhoff’s voltage law in the loop with current
Apply Kirchhoff’s voltage law in the loop with current
MATLAB Code:
Solve the linear equations (5), (6) and (7) using MATLAB to find the mesh currents.
syms i1 i2 i3
eq1 = (2 + 3*1i)*i1 -3*1i*i2 +0*i3 == 12*1i;
eq2 = -3*i1 -13*i2 +20*i3 == 0;
eq3 = 0*i1 +20*1i*i2 +(1-18*1i)*i3 == -8;
sol = solve([eq1, eq2, eq3], [i1, i2, i3]);
val1 = sol.i1;
val2 = sol.i2;
val3 = sol.i3;
i1real=real(val1);
i1imag=imag(val1);
i2real=real(val2);
i2imag=imag(val2);
i3real=real(val3);
i3imag=imag(val3);
i1=sprintf('%.3f + %.3fi A', i1real, i1imag)
i2=sprintf('%.3f + %.3fi A', i2real, i2imag)
i3=sprintf('%.3f + %.3fi A', i3real, i3imag)
The command window output:
i1 = '2.0557 + 3.5651i A'
i2 = '0.4324 + 2.1946i A'
i3 = '0.5894 + 1.9612i A'
From Figure 1, write the expression for
Substitute
Represent the voltage in time domain.
Conclusion:
Therefore, the value of voltage
Want to see more full solutions like this?
Chapter 10 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
- 2) In the ideal transformer circuit shown below find Vo and the complex power supplied by the source. 292 www b 1:4 16 Ω ww + + 240/0° V rms -12492arrow_forward3) In the ideal autotransformer circuit shown below find 11, 12 and lo. Find the average power delivered to the load. (hint: write KVL for both sides) 20/30° V(+ 2-1602 200 turns V₂ 10 + j40 Ω 80 turns V₁arrow_forward1) Find Vo in the following circuit. Assume the mesh currents are clockwise. ΠΩ Ω ΖΩ ww 1Ω ww 24/0° (± 6 Ω j4 Ω 1Ω +arrow_forward
- Please show all stepsarrow_forward11-3) similar to Lathi & Ding, Prob. P.6.8-1 Consider the carrier modulator shown in the figure below, which transmits a binary carrier signal. The baseband generator uses polar NRZ signaling with rectangular pulses. The data rate is 8 Mbit/s. (a) If the modulator generates a binary PSK signal, what is the bandwidth of the modulated output? (b) If the modulator generates FSK with the difference fel - fco = 6 MHz (cf. Fig 6.32c), determine the modulated signal bandwidth. Binary data source Baseband signal generator Modulated output Modulator N-E---arrow_forwardSolve this problem and show all of the workarrow_forward
- Q3: Why is the DRAM cell design simpler but slower than SRAM?arrow_forward5052 ми a JXL 000 +2 16s (wt) bi jxc M 100♫ ZL. Find the Value of XL & X c if the Circuit trans for Max. Power to (ZL).arrow_forwardChoose the best answer for each: 1. What does SRAM use to store data? 。 a) Capacitors ob) Latches 。 c) Flip-flops od) Transistors 2. Which RAM type requires refreshing? o a) SRAM ob) DRAM 。 c) ROM od) Flash 3. What type of memory retains data only while power is on? a) ROM 。 b) EEPROM o c) DRAM od) Flash 4. How many addresses can a 15-bit address bus handle? o a) 32k • b) 64k o c) 16k od) lk 5. What operation occurs when data is copied out of memory without erasing? oa) Write ob) Read o c) Refresh o d) Load 6. DRAM cells store bits using: a) Flip-flops 。 b) Capacitors c) Diodes od) Resistors 7. The cache located inside the CPU is: 。 a) L2 cache o b) LI cache °c) ROM od) HDD 8. SDRAM is synchronized with: o a) Cache ob) Data Bus c) System Clock od) Hard Disk 9. The bus that carries commands is called: o a) Data Bus b) Control Bus o c) Address Bus o d) Logic Bus 10. What is the main use of SRAM? o Disk storage o Cache o Main memory o Registers 11. The smallest addressable unit in…arrow_forward
- Q4: A cache memory is 128k × 16. How many bytes can it store?arrow_forwardSketch the output of the analogue computer shown below and find its closest describing function [suppose any variable to find the DF] +1 ew2 HI e2 1.0 +21 LO SJ eo SJ ew LO 1.0 +|e1| HI -1 ew1 ek(1 + e。) |e1| k = 1+|e1| Figure V-5 Feedback Limiter Behavior ROUNDED, DUE TO DIODE NONLINEARITY LIMIT VOLTAGE 409 DIODE CONDUCTS First, write the output transaction, then draw the output wave, and then find the Describing function. I need to solve the question step by step, with an explanation of each step.arrow_forwardSketch the output of the analogue computer shown below and find its closest describing function [suppose any variable to find the DF] SJ ew2 ew₁ HI |e2| 2 LO 1.0 +21 LO -1 HI Jel 1.0+|e1| ROUNDED, DUE TO DODE NONLINEARITY LIMIT VOLTAGE DIODE CONDUCTS ew1e, -k(1+ e。) k = |e1| 1+|e1| Figure 1-5 Feedback Limiter Behavior First, write the output transaction, then draw the output wave, and then find the Describing function. I need to solve the question step by step, with an explanation of each step.arrow_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,





