Explanation Formula used: The expression for parallel combination of resistance is as follows. 1 R = ( 1 R 1 + 1 R 2 ) (1) Here, R is the total resistances and R 1 and R 2 are the resistances in the circuit. The expression for voltage is as follows. v = i R (2) Here, v is the voltage , i is the current and R is value of resistance. The expression for resistance is as follows. R = v i (3) Here, v is magnitude of the voltage, i is the magnitude of current and R is value of resistance. Calculation: Refer to FIGURE 5.85 in the textbook, Thevenin resistance for the circuit is resistor of value 2 MΩ in parallel with equivalent resistance of remaining circuit. First remove 2 MΩ resistor and as circuit contains dependent current source, connect a current source of 1 A value across open circuited terminal to find equivalent resistance for remaining network. The circuit diagram is redrawn as shown in Figure 1, Refer to the redrawn Figure 1, The expression for voltage v π is as follows, v π = i 2 R 2 (4) Here, v π is the voltage across resistor R 2 , i 2 is the current in the circuit and R 2 is value of resistance in the circuit. Substitute 1 A for i 2 and r π for R 2 in equation (4), v π = ( 1 A ) ( r π ) = r π V The function for current i 1 is as follows, i 1 = 0.02 v π (5) Here, i 1 is the current of dependent source and v π is the voltage across resistor R 2 . Substitute r π V for v π in equation (5), i 1 = 0.02 ( r π V ) = 0.02 r π A As resistor R 3 and resistor R 4 are in parallel therefore from the formula in equation (1), 1 R 5 = ( 1 R 3 + 1 R 4 ) 1 R 5 = 1 1 kΩ + 1 2 kΩ 1 R 5 = 1 0.667 kΩ (6) Rearrange equation (6) for R 5 , R 5 = 667 Ω The circuit diagram is redrawn as shown in Figure 2, Refer to Figure 2, Substitute 0.02 r π A for i and 667 Ω for R in equation (2), v = ( 0.02 r π A ) 667 Ω = 13.34 r π V So value of voltage v 1 is 13.34 r π V . Current source in parallel with a resistor can change to a voltage source connected with same resistor in series. The circuit diagram is redrawn as shown in Figure 3, Refer to the redrawn Figure 3, The expression for KVL in mesh D A B C D is as follows, − v + i 2 R 2 + i 2 R 5 + v 1 = 0 (7) Here, v 1 is the voltage in loop D A B C D , v is voltage across current source i 2 , i 2 is the current flowing in loop D A B C D and R 2 and R 5 are the resistances in the circuit

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf

9th Edition

ISBN: 9781259989452

Author: Hayt

Publisher: Mcgraw Hill Publishers

See similar textbooks

Concept explainers

Z parameter

The Z-parameters that are the impedance parameters of a two-port network are defined by expressing the two-port voltages V1 and V2 in terms of two-port currents I1 and I2. The Z-parameters are calculated by open circuiting one of the two ports at a time …

Videos

Question

Chapter 5, Problem 44E

To determine

Find the value of Thevenin equivalent resistance of the circuit to the right of the dashed line.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 43E

Chapter 5, Problem 45E

Students have asked these similar questions

If Fourier transform of f(t) is F(w) find Fourier transform of g(t) using only properties. d g(t) = f(2t)+8(3-1)+ ej(t-1)f(t) dt

3z²+7z+1 dz (b) If C is the circle |z+i|=1. What is the value of S (a) If C is the circle |z+1|=1. z+1 (c) If C is the ellipse x²+y2=8.

= Find the residues of all the poles of f(z) = 3z (z+2)²(z²-1)

Chapter 5 Solutions

Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf

Ch. 5.1 - For the circuit of Fig. 5.4, use superposition to...Ch. 5.2 - For the circuit of Fig. 5.7, use superposition to...Ch. 5.2 - For the circuit of Fig. 5.18, compute the current...Ch. 5.2 - For the circuit of Fig. 5.20, compute the voltage...Ch. 5.3 - Using repeated source transformations, determine...Ch. 5.3 - Use Thvenins theorem to find the current through...Ch. 5.3 - Determine the Thvenin and Norton equivalents of...Ch. 5.3 - Find the Thvenin equivalent for the network of...Ch. 5.3 - Find the Thvenin equivalent for the network of...Ch. 5.4 - Consider the circuit of Fig. 5.43. FIGURE 5.43...

Ch. 5.5 - Prob. 11P Ch. 5 - Linear systems are so easy to work with that...Ch. 5 - Prob. 2E Ch. 5 - Prob. 3E Ch. 5 - (a) Employ superposition to determine the current...Ch. 5 - (a) Using superposition to consider each source...Ch. 5 - (a) Determine the individual contributions of each...Ch. 5 - (a) Determine the individual contributions of each...Ch. 5 - After studying the circuit of Fig. 5.53, change...Ch. 5 - Consider the three circuits shown in Fig. 5.54....Ch. 5 - (a) Using superposition, determine the voltage...Ch. 5 - Employ superposition principles to obtain a value...Ch. 5 - (a) Employ superposition to determine the...Ch. 5 - Perform an appropriate source transformation on...Ch. 5 - (a) For the circuit of Fig. 5.59, plot iL versus...Ch. 5 - Determine the current labeled I in the circuit of...Ch. 5 - Verify that the power absorbed by the 7 resistor...Ch. 5 - (a) Determine the current labeled i in the circuit...Ch. 5 - (a) Using repeated source transformations, reduce...Ch. 5 - Prob. 19E Ch. 5 - (a) Making use of repeated source transformations,...Ch. 5 - Prob. 21E Ch. 5 - (a) With the assistance of source transformations,...Ch. 5 - For the circuit in Fig. 5.67 transform all...Ch. 5 - Prob. 24E Ch. 5 - (a) Referring to Fig. 5.69, determine the Thevenin...Ch. 5 - (a) With respect to the circuit depicted in Fig....Ch. 5 - (a) Obtain the Norton equivalent of the network...Ch. 5 - (a) Determine the Thevenin equivalent of the...Ch. 5 - Referring to the circuit of Fig. 5.71: (a)...Ch. 5 - Prob. 30E Ch. 5 - (a) Employ Thvenins theorem to obtain a...Ch. 5 - Prob. 32E Ch. 5 - Determine the Norton equivalent of the circuit...Ch. 5 - For the circuit of Fig. 5.75: (a) Employ Nortons...Ch. 5 - (a) Obtain a value for the Thvenin equivalent...Ch. 5 - Prob. 36E Ch. 5 - Obtain a value for the Thvenin equivalent...Ch. 5 - With regard to the network depicted in Fig. 5.79,...Ch. 5 - Determine the Thvenin and Norton equivalents of...Ch. 5 - Determine the Norton equivalent of the circuit...Ch. 5 - Prob. 41E Ch. 5 - Determine the Thvenin and Norton equivalents of...Ch. 5 - Prob. 43E Ch. 5 - Prob. 44E Ch. 5 - Prob. 45E Ch. 5 - (a) For the simple circuit of Fig. 5.87, find the...Ch. 5 - For the circuit drawn in Fig. 5.88, (a) determine...Ch. 5 - Study the circuit of Fig. 5.89. (a) Determine the...Ch. 5 - Prob. 49E Ch. 5 - Prob. 50E Ch. 5 - With reference to the circuit of Fig. 5.91, (a)...Ch. 5 - Prob. 52E Ch. 5 - Select a value for RL in Fig. 5.93 such that it...Ch. 5 - Determine what value of resistance would absorb...Ch. 5 - Derive the equations required to convert from a...Ch. 5 - Convert the - (or "-") connected networks in Fig....Ch. 5 - Convert the Y-(or T-) connected networks in Fig....Ch. 5 - For the network of Fig. 5.97, select a value of R...Ch. 5 - For the network of Fig. 5.98, select a value of R...Ch. 5 - Prob. 60E Ch. 5 - Calculate Rin as indicated in Fig.5.100. FIGURE...Ch. 5 - Employ Y conversion techniques as appropriate to...Ch. 5 - Prob. 63E Ch. 5 - (a) Use appropriate techniques to obtain both the...Ch. 5 - (a) For the network in Fig. 5.104, replace the...Ch. 5 - Prob. 66E Ch. 5 - Prob. 67E Ch. 5 - A 2.57 load is connected between terminals a and...Ch. 5 - A load resistor is connected across the open...Ch. 5 - A backup is required for the circuit depicted in...Ch. 5 - (a) Explain in general terms how source...Ch. 5 - The load resistor in Fig. 5.108 can safely...Ch. 5 - Prob. 74E Ch. 5 - As part of a security system, a very thin 100 ...Ch. 5 - With respect to the circuit in Fig. 5.90, (a)...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Find the value of Thevenin equivalent resistance of the circuit to the right of the dashed line.

Solution Summary: The author explains how to find the value of Thevenin equivalent resistance of the circuit.

Concept explainers

Videos

Find the value of Thevenin equivalent resistance of the circuit to the right of the dashed line.

Want to see the full answer?

Chapter 5 Solutions