v ull Cuil iniriyu.. (a) Find the Open Circuit Voltage (voc) with respect to terminals a and b [8 points] (b) Use the Deactivation Method to find the Thevenin Equlvalent Resistance (RTh) with respect to terminals a and b (c) Draw the Thevenin Eyuivalent Circuit with respect to terminals a and b and include a load resistor labelled R (d) Find the maximum power dissipated in R2

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# Circuit Analysis for Thevenin's Theorem

## Objective
Analyze the given electrical circuit and apply Thevenin's Theorem to simplify the analysis.

## Tasks
(a) **Open Circuit Voltage (\(V_{oc}\))**: Find the open circuit voltage with respect to terminals a and b.

(b) **Thevenin Equivalent Resistance (\(R_{th}\))**: Use the Deactivation Method to find the Thevenin equivalent resistance with respect to terminals a and b.

(c) **Thevenin Equivalent Circuit**: Draw the Thevenin equivalent circuit with respect to terminals a and b, and include a load resistor labeled \(R_L\).

(d) **Maximum Power**: Calculate the maximum power dissipated in \(R_L\).

## Figure 1: Circuit Diagram

The circuit consists of:

- A 12A current source.
- Three resistors connected in the following configuration:
  - A 6 ohm resistor in series with the current source.
  - A 12 ohm resistor in series with a parallel 4 ohm and 16 ohm resistor network.
  
### Configuration
- Terminals labeled 'a' and 'b' are across the 4 ohm resistor.

The objective is to find the Thevenin equivalent circuit and maximum power for the load resistor labeled \(R_L\).

**Note:** Use standard circuit analysis techniques to simplify the circuit where needed.
Transcribed Image Text:# Circuit Analysis for Thevenin's Theorem ## Objective Analyze the given electrical circuit and apply Thevenin's Theorem to simplify the analysis. ## Tasks (a) **Open Circuit Voltage (\(V_{oc}\))**: Find the open circuit voltage with respect to terminals a and b. (b) **Thevenin Equivalent Resistance (\(R_{th}\))**: Use the Deactivation Method to find the Thevenin equivalent resistance with respect to terminals a and b. (c) **Thevenin Equivalent Circuit**: Draw the Thevenin equivalent circuit with respect to terminals a and b, and include a load resistor labeled \(R_L\). (d) **Maximum Power**: Calculate the maximum power dissipated in \(R_L\). ## Figure 1: Circuit Diagram The circuit consists of: - A 12A current source. - Three resistors connected in the following configuration: - A 6 ohm resistor in series with the current source. - A 12 ohm resistor in series with a parallel 4 ohm and 16 ohm resistor network. ### Configuration - Terminals labeled 'a' and 'b' are across the 4 ohm resistor. The objective is to find the Thevenin equivalent circuit and maximum power for the load resistor labeled \(R_L\). **Note:** Use standard circuit analysis techniques to simplify the circuit where needed.
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