SINUSOIDAL STEADY-STATE ANALYSIS

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Objectives To perform circuit analysis using the following techniques:

1. Basic Approach (KCL and KVL – Circuit reduction)

2. Nodal Analysis

3. Mesh Analysis

4. Superposition Theorem

5. Source Transformation

6. Thevenin and Norton Equivalent Circuits

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Steps to Analyze AC Circuits:

1. Transform the circuit to the phasor (frequency) domain.

2. Solve using an appropriate circuit technique such as nodal

analysis, mesh current analysis, superposition, etc.).

3. Transform the resulting phasors back into time domain.

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Impedance Combinations

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Determine the input impedance of the circuit in figure below

at ω =10 rad/s.

Answer: Zin = 32.38 – j73.76

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Example 2

Solution

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Bridge Circuit

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Bridge Circuit analysis

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This Bridge is used to measure L and R4

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Superposition Theorem

When a circuit has sources operating at different frequencies,

• The separate phasor circuit for each frequency must be solved

independently, and

• The total response is the sum of time-domain responses of all

the individual phasor circuits.

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Superposition Theorem

Example

Calculate vo in the circuit of figure shown below using the superposition

theorem.

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Thevenin and Norton Equivalent Circuits

Thevenin transform

Norton transform

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To Find ZTh

Example

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