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The image contains three circuit problems that require solving using nodal analysis.

### Problem 1: 
Solve for \( V_1 \), \( V_2 \), and all the branch currents in the circuit below:
- Circuit elements:
  - \( 1 \, \Omega \) resistor connected to a \( 40 \, V \) voltage source at \( V_1 \).
  - \( 2 \, \Omega \) resistor between \( V_1 \) and \( V_2 \).
  - \( 8 \, \Omega \) resistor connected to a \( 20 \, V \) voltage source at \( V_2 \).
  - \( 4 \, \Omega \) resistor grounded.
  - \( 5 \, A \) current source from the junction between the \( 2 \, \Omega \) and \( 8 \, \Omega \) resistors.

### Problem 2:
Solve for \( V_1 \), \( V_2 \), and all branch currents in the circuit below:
- Circuit elements:
  - \( 10 \, \Omega \) resistor at \( V_1 \) and \( 2 \, \Omega \) resistor between \( V_1 \) and \( V_2 \).
  - A \( 5 \, \Omega \) resistor grounded.
  - A \( 4 \, \Omega \) resistor at \( V_2 \).
  - \( 6 \, A \) current source between \( V_1 \) and \( V_2 \).
  - \( 3 \, A \) current source connected to \( V_2 \) and ground.

### Problem 3:
Find \( V_o \) and the power dissipated in all resistors:
- Circuit elements:
  - \( 12 \, \Omega \) resistor connected to a \( 60 \, V \) source.
  - \( V_o \) node between a \( 12 \, \Omega \) and \( 6 \, \Omega \) resistor.
  - \( 6 \, \Omega \) resistor connected to a \( 24 \, V \) source.

Let me start solving these problems one by one using nodal analysis. I will work through each in sequence and provide step-by-step solutions. I'll begin with Problem 1. 

Would you like me to continue with Problem 1 first, or do you have a specific one you want to focus on?

Solve V1, V2, and all the branch currents using the nodal analysis method for the circuit shown in the image. Also, find Vo and power dissipated in the resistors.

Learn how to solve for node voltages V1, V2, and Vo in electrical circuits using nodal analysis. This tutorial covers key concepts like Ohm's Law and Kirchhoff's Current Law, and demonstrates how to calculate power dissipation in resistors.

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