Using KVL, determine the unknown branch voltages in the circuit below. 20 V + V3 www + mu + 5 1 V1 5 V + +1 V2 M + 8 V

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### Educational Text on Kirchhoff's Voltage Law (KVL) Application

#### Problem Statement:
Using KVL, determine the unknown branch voltages in the circuit below.

#### Circuit Description:
The circuit consists of a loop with the following components:

1. A 20 V voltage source.
2. A resistor with voltage \( V3 \).
3. A resistor with voltage \( V2 \).
4. A resistor with voltage \( V1 \).
5. An 8 V voltage source.
6. A 5 V voltage source.

#### Explanation:
- The circuit is a closed loop containing both voltage sources and resistors.
- The positive and negative polarities of each component are marked, indicating the assumed direction of voltage drops across the resistors.
  
#### KVL Application:
Kirchhoff’s Voltage Law states that the sum of the electromotive forces and potential differences (voltages) around any closed network is zero. For this circuit, the KVL equation is:

\[ 20V - V3 - V1 + 5V - V2 - 8V = 0 \]

This equation can be rearranged to solve for the unknown voltages \( V1 \), \( V2 \), and \( V3 \).
Transcribed Image Text:### Educational Text on Kirchhoff's Voltage Law (KVL) Application #### Problem Statement: Using KVL, determine the unknown branch voltages in the circuit below. #### Circuit Description: The circuit consists of a loop with the following components: 1. A 20 V voltage source. 2. A resistor with voltage \( V3 \). 3. A resistor with voltage \( V2 \). 4. A resistor with voltage \( V1 \). 5. An 8 V voltage source. 6. A 5 V voltage source. #### Explanation: - The circuit is a closed loop containing both voltage sources and resistors. - The positive and negative polarities of each component are marked, indicating the assumed direction of voltage drops across the resistors. #### KVL Application: Kirchhoff’s Voltage Law states that the sum of the electromotive forces and potential differences (voltages) around any closed network is zero. For this circuit, the KVL equation is: \[ 20V - V3 - V1 + 5V - V2 - 8V = 0 \] This equation can be rearranged to solve for the unknown voltages \( V1 \), \( V2 \), and \( V3 \).
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