Basic Engineering Circuit Analysis
Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 3, Problem 1P

Use nodal analysis to find V 1 in the circuit in Fig. P3.l.

Chapter 3, Problem 1P, Use nodal analysis to find V1 in the circuit in Fig. P3.l.

Expert Solution & Answer
Check Mark
To determine

The value of voltage V1 by use of nodal analysis.

Answer to Problem 1P

The value of voltage V1 is 35V.

Explanation of Solution

Calculation:

The circuit diagram is redrawn as shown in Figure 1.

  Basic Engineering Circuit Analysis, Chapter 3, Problem 1P

Write the expression for KCL at node A in Figure 1.

  i1+V1R2+V1vBR3=0   ..... (1)

Here, i1 is the current in the circuit, V1 is the voltage at node A, vB is the voltage at node B and R2, R3 are the resistances in the circuit.

Substitute 12mA for i1, 5kΩ for R2 and 5kΩ for R3 in equation (1).

  12mA+V15kΩ+V1vB5kΩ=0( 5kΩ)( 12mA)+V1+V1vB5kΩ=0( 5× 10 3 Ω)( 12× 10 3 A)+2V1vB5kΩ=060V+2V1vB=0

Rearrange further.

  2V1vB=60V   ..... (2)

Write the expression for KCL at node B in Figure 1.

  vBV1R3+vBR4+vBR5=0   ..... (3)

Here, R4 and R5 are the resistances in the circuit.

Substitute 5kΩ for R3, 4kΩ for R4 and 4kΩ for R5 in equation (3).

  vBV15kΩ+vB4kΩ+vB4kΩ=04( v B V 1 )+5vB+5vB20kΩ=04vB4V1+10vB=04V1+14vB=0

Rearrange for vB.

  vB=4V114

Simplify further.

  vB=0.286V1

Substitute 0.286V1 for vB in equation (2).

  2V10.286V1=60V1.714V1=60VV1=60V1.714=35V

Conclusion:

Thus, the value of voltage V1 is 35V.

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Chapter 3 Solutions

Basic Engineering Circuit Analysis

Ch. 3 - Use nodal analysis to find Io in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.13 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.15 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.19 using...Ch. 3 - Find Vo in the network in Fig. P3.20 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.21 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.22 using nodal...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to solve for the node voltages...Ch. 3 - Find Vo in the network in Fig. P3.27 using nodal...Ch. 3 - Find Io in the network in Fig. P3.28 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.30 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.31 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Using analysis, find Vo in the network in Fig....Ch. 3 - Find Vo in the network in Fig. P3.34 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.35 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.36 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.38 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.39 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.41.Ch. 3 - Find I0 in the network in Fig. P3.42 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.43 using nodal...Ch. 3 - Find Io in the network in Fig. P3.44 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.45 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.46 using nodal...Ch. 3 - Find Io in the network in Fig. P3.47 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.49 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.50 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.51.Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Determine Vo in the network in Fig. P3.53 using...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. B3.56 using nodal...Ch. 3 - Use nodal analysis to solve for IA in the network...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Determine Vo in the network in Fig. P3.60 using...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Find Io in the network in Fig. P3.65 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.66 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.67 using mesh...Ch. 3 - Find Io in the circuit in Fig. P3.68 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. P3.70 using mesh...Ch. 3 - Use mesh analysis to find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.72.Ch. 3 - Find Vo in the circuit in Fig. P3.73 using mesh...Ch. 3 - Find Vo in Fig. P3.74 using mesh analysis.Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Find Io in Fig. P3.76 using mesh analysis.Ch. 3 - Find Vo in the network in Fig. P3.77 using loop...Ch. 3 - Find Io in the circuit in Fig. P3.78 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.79 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Use mesh analysis to find Io in the network in...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Use loop analysis to calculate the power supplied...Ch. 3 - Use loop analysis to find Io and I1 in the network...Ch. 3 - Find Vo in the network in Fig. P3.85 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.86 using...Ch. 3 - Find Io in network in Fig. P3.87 using loop...Ch. 3 - Find Io in the network in Fig. P3.88 using loop...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.91 using mesh...Ch. 3 - Use analysis to find Io in the network in Fig....Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Find the mesh currents in the network in Fig....Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.97 using loop...Ch. 3 - Find Io in the network in Fig. P3.98 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.99 using loop...Ch. 3 - Use nodal analysis to find Vo in Fig. P3.100.Ch. 3 - Find Vo in the circuit in Fig. P3.101 using nodal...Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Find Vo in the network in Fig. P3.104 using nodal...Ch. 3 - Find the power supplied by the 2-A current source...Ch. 3 - Find Io in the network in Fig. P3.106 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.107 using loop...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Using mesh analysis, find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.110 using nodal...Ch. 3 - Find Vx in the circuit in Fig. P3.111.Ch. 3 - Find Io in the circuit in Fig. P3.112.Ch. 3 - Write mesh equations for the circuit in Fig....Ch. 3 - Find Ix in the circuit in Fig. P3.114 using loop...Ch. 3 - Solve for the mesh currents defined in the circuit...Ch. 3 - Solve for the assigned mesh currents in the...Ch. 3 - Using the assigned mesh currents shown in Fig....Ch. 3 - Find Vo in the network in Fig. B3.118.Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Io in the network in...Ch. 3 - Use analysis to find Io in the circuit in Fig....Ch. 3 - Find Vo in the circuit in Fig. P3.125 using loop...Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Use mesh analysis to determine the power delivered...Ch. 3 - Use mesh analysis to find the power delivered by...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.130 using nodal...Ch. 3 - Find Vo in the circuit in Fig. 3PFE-l. a. 3.33 Vc....Ch. 3 - Determine the power dissipated in the 6-ohm...Ch. 3 - Find the current Ix in the 4-ohm resistor in the...Ch. 3 - Determine the voltage Vo in the circuit in Fig....Ch. 3 - What is the voltage V1 in the circuit in Fig....
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Nodal Analysis for Circuits Explained; Author: Engineer4Free;https://www.youtube.com/watch?v=f-sbANgw4fo;License: Standard Youtube License