50 kN 90 kN 1. Find the Thevenin equivalent voltage v TH and resistance RTH as seen by load Rp. Then, find the current i on the load, when R1= 40 kN. (8) 20 V 30 k2 RL

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Problem Statement:**

1. Find the Thevenin equivalent voltage \( v_{TH} \) and resistance \( R_{TH} \) as seen by load \( R_L \). Then, find the current \( i_L \) on the load, when \( R_L = 40 \, \text{k}\Omega \).

**Diagram Description:**

The diagram to the right shows an electrical circuit with the following components:

- A voltage source of 20 V.
- Three resistors arranged as follows:
  - A 50 kΩ resistor in series with the voltage source.
  - A 90 kΩ resistor in parallel with a 30 kΩ resistor.
  - The load resistor \( R_L \).

Points to consider:

- The 50 kΩ resistor is connected directly to the positive terminal of the 20 V voltage source.
- The 90 kΩ and 30 kΩ resistors form a parallel connection.
- The load resistor \( R_L \), which is variable, is in parallel with the combined 90 kΩ and 30 kΩ network.

**Task:**

Using the given values, calculate \( v_{TH} \) and \( R_{TH} \). Then, determine the current \( i_L \) through the load resistor when \( R_L = 40 \, \text{k}\Omega \).
Transcribed Image Text:**Problem Statement:** 1. Find the Thevenin equivalent voltage \( v_{TH} \) and resistance \( R_{TH} \) as seen by load \( R_L \). Then, find the current \( i_L \) on the load, when \( R_L = 40 \, \text{k}\Omega \). **Diagram Description:** The diagram to the right shows an electrical circuit with the following components: - A voltage source of 20 V. - Three resistors arranged as follows: - A 50 kΩ resistor in series with the voltage source. - A 90 kΩ resistor in parallel with a 30 kΩ resistor. - The load resistor \( R_L \). Points to consider: - The 50 kΩ resistor is connected directly to the positive terminal of the 20 V voltage source. - The 90 kΩ and 30 kΩ resistors form a parallel connection. - The load resistor \( R_L \), which is variable, is in parallel with the combined 90 kΩ and 30 kΩ network. **Task:** Using the given values, calculate \( v_{TH} \) and \( R_{TH} \). Then, determine the current \( i_L \) through the load resistor when \( R_L = 40 \, \text{k}\Omega \).
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