# 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.