Node-Voltage & Mesh-Current Analysis

Quick Review of Theory


Example 1

Solve for the current through the 5 ohm resistor and the current throughthe 18V source using Node-Voltage Analysis.

Solve for the current through the 5 ohm resistor and the current throughthe 18V source using Mesh-Current Analysis.


Example 2

Solve for the current through the 5 ohm resistor and the current through the 4V source using Node-Voltage Analysis.

Solve for the current through the 5 ohm resistor and the current through the 4V source using Mesh-Current Analysis.


Example 3

Solve for the current through the 5 ohm resistor and the voltage over the 3A source using Node-Voltage Analysis.

Solve for the current through the 5 ohm resistor and the voltage over the 3A source using Mesh-Current Analysis.


Example 4

Solve for the current ix flowing right through the 4 ohm resistor using Mesh-Current Analysis.


Example 5

Write the time-domain (integral-differential) node-voltage equations for the circuit shown, using the ground (0) node as your reference. Do not solve.


Example 6

Solve for the current flowing down through the 1K ohm resistor in the circuit above using node-voltage analysis in the phasor domain. Be sure to convert your answer back to time domain.


Example 7


Write the time-domain (integral-differential) mesh-current equations for the circuit shown. Do not solve.
Solution

Example 8


Write the node-voltage equations for the circuit shown below, but do not solve. Write the equation for the power absorbed by the 3V supply in terms of the node voltages.
Solution

Example 9


Find the power absorbed by the 1 Kohm resistor and the 6V source. Solve using Node-Voltage. Then double-check your answer by solving using Mesh-Current.
Solution

Example 10


a) Label the node-voltages for the circuit shown above.
b) Write the Node-Voltage equations, but do not solve.
c) Write the symbolic equation (in terms of the node voltages) for the power in source Va.
d) Label the mesh-currents for the circuit shown above.
e) Write the Mesh-Current equations, but do not solve.
f) Write the symbolic equation (in terms of the mesh currents) for the power in source Va.

Solution

Example 11


First simply the circuit as much as possible. Second, use Node-Voltage analysis to solve for the power delivered by the 35mA current source in the circuit shown.
Solution

Example 12


Write the mesh current equations for the following circuit, but do not solve.
Solution

Example 13

Write a complete set of Node-Voltage equations for the circuit below. Do not solve.


Example 14

Write a complete set of Node-Voltage equations for the circuit below. Do not solve.


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2014, Steven H. VanderLeest