Determine power P2

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Determine power P2, absorbed by the dependent voltage source if. I = 5 mA and V = 9V

### Understanding Electrical Circuits: Example with Current and Voltage Sources

The image above illustrates a simple electrical circuit comprising a current source, voltage source, and a dependent voltage source. Below is a detailed explanation of each component and the overall circuit operation:

#### Components:

1. **Current Source (I):**
   - This is depicted as a circle with an arrow inside it, indicating the direction of current flow. In this circuit, the current source provides a constant current \( I \).

2. **Voltage Source (V):**
   - Represented by a circle with a \( + - \) sign, this component provides a constant voltage \( V \). The positive and negative terminals are indicated with the plus (\( + \)) and minus (\( - \)) signs respectively.

3. **Dependent Voltage Source:**
   - Illustrated as a diamond shape, this type of voltage source provides a voltage that is dependent on another parameter in the circuit. Here, the voltage is \( 2I \), meaning it is twice the value of the current provided by the current source \( I \).

#### Circuit Configuration:

- The current source (\( I \)) is connected in series with the voltage source (\( V \)) and the dependent voltage source (\( 2I \)). 
- The arrow symbol next to \( I \) indicates the path of current flow through the circuit as being clockwise.

#### Labels:

- **\( I \):** The current flowing through the circuit.
- **\( V \):** The voltage across the voltage source.
- **\( 2I \):** The voltage produced by the dependent voltage source, which is twice the current \( I \).
- **\( P_2 \):** Typically represents power, but here the precise context is ambiguous without additional information.

#### Circuit Analysis:

To understand the behavior of this circuit, we apply Kirchhoff's Voltage Law (KVL), which states that the sum of all voltages around any closed loop in a circuit must be zero. In this circuit, the KVL equation can be written as:

\[ V - 2I = 0 \]

This equation illustrates the relationship between the voltage source \( V \) and the current source \( I \). From this equation, we can see that the voltage \( V \) is directly dependent on the current \( I \).

#### Practical Application:

Such circuits are fundamental in understanding electrical engineering principles, including how power supplies and dependent sources interact in more
Transcribed Image Text:### Understanding Electrical Circuits: Example with Current and Voltage Sources The image above illustrates a simple electrical circuit comprising a current source, voltage source, and a dependent voltage source. Below is a detailed explanation of each component and the overall circuit operation: #### Components: 1. **Current Source (I):** - This is depicted as a circle with an arrow inside it, indicating the direction of current flow. In this circuit, the current source provides a constant current \( I \). 2. **Voltage Source (V):** - Represented by a circle with a \( + - \) sign, this component provides a constant voltage \( V \). The positive and negative terminals are indicated with the plus (\( + \)) and minus (\( - \)) signs respectively. 3. **Dependent Voltage Source:** - Illustrated as a diamond shape, this type of voltage source provides a voltage that is dependent on another parameter in the circuit. Here, the voltage is \( 2I \), meaning it is twice the value of the current provided by the current source \( I \). #### Circuit Configuration: - The current source (\( I \)) is connected in series with the voltage source (\( V \)) and the dependent voltage source (\( 2I \)). - The arrow symbol next to \( I \) indicates the path of current flow through the circuit as being clockwise. #### Labels: - **\( I \):** The current flowing through the circuit. - **\( V \):** The voltage across the voltage source. - **\( 2I \):** The voltage produced by the dependent voltage source, which is twice the current \( I \). - **\( P_2 \):** Typically represents power, but here the precise context is ambiguous without additional information. #### Circuit Analysis: To understand the behavior of this circuit, we apply Kirchhoff's Voltage Law (KVL), which states that the sum of all voltages around any closed loop in a circuit must be zero. In this circuit, the KVL equation can be written as: \[ V - 2I = 0 \] This equation illustrates the relationship between the voltage source \( V \) and the current source \( I \). From this equation, we can see that the voltage \( V \) is directly dependent on the current \( I \). #### Practical Application: Such circuits are fundamental in understanding electrical engineering principles, including how power supplies and dependent sources interact in more
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