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?