# Mesh Analysis - Supermesh

Solve the circuit and find the power of sources:

$V_S=10V$, $I_S=4 A$, $R_1=2 \Omega$, $R_2=6 \Omega$, $R_3=1 \Omega$, $R_4=2 \Omega$.

Solution:
There are three meshes in the circuit. So, we need to assign three mesh currents. It is better to have all the mesh currents loop in the same direction (usually clockwise) to prevent errors when writing out the equations.

# Nodal Analysis - Dependent Current Source

Deploy nodal analysis method to solve the circuit and find the power of the dependent source.

Solution
I. Identify all nodes in the circuit. Call the number of nodes $N$.
The circuit has 4 nodes:

Therefore, $N=4$.

# Problem 1-15: Power of Independent Sources

Determine the power of each source.
a)

b)

Solution
a) The current source keeps the current of the loop $2A$ and the voltage source keeps the voltage across the current source $3v$ as shown below.

# Problem 1-8: Nodal Analysis - Power of Current Source

Solve the circuit using nodal analysis and find the power of $Is_1$.

Solution
a) Choose a reference node, label the voltages:

# Problem 1-3: Using Power and Conductance

Determine the resistance of the resistor, $I$ and $V$.

# Problem 1-2: Power and Conductance of Resistors

Determine the power absorbed by the resistors, the conductance of the resistors and $V$.

# Problem 1-1: Power of Elements

Find the power of each element. Which one is supplying power and which one is absorbing it?

Solution

a)  Passive sign convention, $P = V \times I = -8 W < 0$ supplying power.