Find the Thévenin equivalent with respect to the terminals a, b for the circuit in Fig. P4.67. Figure P4.67 300 V + 40 Ω www 3 A 150 Ω www 10 Ω 100 80 та 1819 b

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Calculate the Thevenin equivalent at terminals a-b in the given circuit WITHOUT using PSPICE.

### Thévenin's Theorem: Finding the Equivalent Circuit

#### Problem Statement

Find the Thévenin equivalent with respect to the terminals a, b for the circuit shown in Fig. P4.67.

#### Circuit Description

The circuit diagram includes the following components:
- A 300 V voltage source located at the bottom left of the circuit.
- A 3 A current source situated at the top of the circuit.
- Several resistors with the following values:
  - 150 Ω resistor in series with the current source.
  - 40 Ω resistor connected to the left of a node below the resistor labeled 150 Ω.
  - 10 Ω resistor connected to the right of the node, leading to terminal a.
  - 8 Ω resistor positioned vertically below the 40 Ω resistor and connected in series from the node to terminal b.

#### Figure P4.67 Description

The circuit shown in Figure P4.67 can be described as follows:
1. The 300 V voltage source is connected to the ground on its negative terminal and to a node above a series combination of the 40 Ω and 8 Ω resistors on its positive terminal.
2. The node between these two resistors is connected to the left side of the 3 A current source, which is in parallel with the 40 Ω resistor and in series with the 150 Ω resistor.
3. The top node of the 150 Ω resistor is connected to a node where the current source meets and splits into the 40 Ω resistor, the 10 Ω resistor continuing to terminal a, and the 8 Ω resistor leading vertically down to terminal b.

Finding the Thévenin equivalent circuit involves determining the equivalent voltage (V_th) and equivalent resistance (R_th) seen from terminals a and b. The simplified Thévenin equivalent circuit will replace the original network between these terminals with a single voltage source (V_th) in series with a single resistor (R_th).
Transcribed Image Text:### Thévenin's Theorem: Finding the Equivalent Circuit #### Problem Statement Find the Thévenin equivalent with respect to the terminals a, b for the circuit shown in Fig. P4.67. #### Circuit Description The circuit diagram includes the following components: - A 300 V voltage source located at the bottom left of the circuit. - A 3 A current source situated at the top of the circuit. - Several resistors with the following values: - 150 Ω resistor in series with the current source. - 40 Ω resistor connected to the left of a node below the resistor labeled 150 Ω. - 10 Ω resistor connected to the right of the node, leading to terminal a. - 8 Ω resistor positioned vertically below the 40 Ω resistor and connected in series from the node to terminal b. #### Figure P4.67 Description The circuit shown in Figure P4.67 can be described as follows: 1. The 300 V voltage source is connected to the ground on its negative terminal and to a node above a series combination of the 40 Ω and 8 Ω resistors on its positive terminal. 2. The node between these two resistors is connected to the left side of the 3 A current source, which is in parallel with the 40 Ω resistor and in series with the 150 Ω resistor. 3. The top node of the 150 Ω resistor is connected to a node where the current source meets and splits into the 40 Ω resistor, the 10 Ω resistor continuing to terminal a, and the 8 Ω resistor leading vertically down to terminal b. Finding the Thévenin equivalent circuit involves determining the equivalent voltage (V_th) and equivalent resistance (R_th) seen from terminals a and b. The simplified Thévenin equivalent circuit will replace the original network between these terminals with a single voltage source (V_th) in series with a single resistor (R_th).
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