The variable resistor RL in the circuit is adjusted for maximum power transfer to RL. Suppose that v= 576 V. a) Find the numerical value of RL b) Find the maximum power transferred to  RL

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The variable resistor RL in the circuit is adjusted for maximum power transfer to RL. Suppose that v= 576 V.

a) Find the numerical value of RL

b) Find the maximum power transferred to  RL

The image shows an electrical circuit. Here’s a detailed description:

**Circuit Description:**

- The circuit contains a voltage source labeled \( v \) on the left.
- It has several resistors:
  - A 6 Ω resistor located above the voltage source.
  - A 4 Ω resistor situated directly above the voltage source and another below it.
  - A 40 Ω resistor connected horizontally to the right of the 6 Ω resistor.
  - An 8 Ω resistor connected vertically to the right of the 40 Ω resistor.
  - A 2 Ω resistor connected below the 8 Ω resistor.
  - An adjustable resistor labeled \( R_L \), located just to the left of the 2 Ω resistor.

- There is a dependent current source on the right side of the circuit, labeled \( 20i_β \).

**Current:**

- The current denoted as \( i_β \) flows through the 6 Ω resistor, indicated by an arrow.

This circuit can be analyzed using techniques such as mesh or nodal analysis to find unknown currents and voltages across components, taking into account the dependent source.
Transcribed Image Text:The image shows an electrical circuit. Here’s a detailed description: **Circuit Description:** - The circuit contains a voltage source labeled \( v \) on the left. - It has several resistors: - A 6 Ω resistor located above the voltage source. - A 4 Ω resistor situated directly above the voltage source and another below it. - A 40 Ω resistor connected horizontally to the right of the 6 Ω resistor. - An 8 Ω resistor connected vertically to the right of the 40 Ω resistor. - A 2 Ω resistor connected below the 8 Ω resistor. - An adjustable resistor labeled \( R_L \), located just to the left of the 2 Ω resistor. - There is a dependent current source on the right side of the circuit, labeled \( 20i_β \). **Current:** - The current denoted as \( i_β \) flows through the 6 Ω resistor, indicated by an arrow. This circuit can be analyzed using techniques such as mesh or nodal analysis to find unknown currents and voltages across components, taking into account the dependent source.
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