Electric Circuit Analysis: Unit I: b. Basic circuits analysis

Nodal analysis of circuits for dependent sources (controlled sources)

Here also, the usual method is applied. There will be an additional equation relating the source current and the controlling quantity.

NODAL ANALYSIS OF CIRCUITS FOR DEPENDENT SOURCES (CONTROLLED SOURCES)

Case 1: (Voltage - Controlled current source)

Here also, the usual method is applied. There will be an additional equation relating the source current and the controlling quantity.

Example 3 Determine the voltage across each conductance of the circuit shown in the figure.

Solution:

Step 1: Let the voltages of the nodes 1 and 2 be V₁, and V₂ respectively.

Then Vx = V₁- V₂

0.5Vx = 0.5(V₁- V₂)

The given controlled source is a current source of 0.5 Vx

Step 2: Putting in the matrix form, we get,

Case 2: (Current-controlled voltage source):

Example 4 Determine the current through 102 by nodal method.

Solution:

Step 1: Mark the various nodes as 1, 2 and 3. Take the node 3 as reference.

Step 2: Let V₁ and V₂ be the voltages at the nodes 1 and 2 respectively.

Then the voltage across 3 Ω = V = V₁

0.8V = 0.8V₁

Step 3: In the matrix form,

Electric Circuit Analysis: Unit I: b. Basic circuits analysis : Tag: : - Nodal analysis of circuits for dependent sources (controlled sources)

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Electric Circuit Analysis

EE3251 2nd Semester 2021 Regulation | 2nd Semester EEE Dept 2021 Regulation