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Formulate node-voltage equations for the circuit in Figure P3-1. Arrange the results in matrix form

The node voltage equations in matrix form

## Answer to Problem 3.1P

The required node voltage equation in the form of matrix is

### Explanation of Solution

**Calculation:**

The given circuit diagram is shown in Figure 1

Mark the branch current in the given diagram.

The required diagram is shown in Figure 2

Apply the KCL at the node

Apply the KCL at the node

Apply the KCL at the node

Arrange the Equation (1), (2) and (3) in the matrix form.

**Conclusion:**

Therefore, the required node voltage equation in the form of matrix is

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# Chapter 3 Solutions

ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)

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