How to calculate the Ix current flowing through the 4Ω resistor using nodal analysis?

 

View attachment 237041How to calculate the Ix current flowing through the 4Ω resistor using nodal analysis?

1. Identify the three nodes
2. Write an equation for each node and set it equal to zero.
3. Solve the system of equations, by any convenient method.

 

1. Identify the three nodes
2. Write an equation for each node and set it equal to zero.
3. Solve the system of equations, by any convenient method.

Thank you.
But I am getting different answer while doing mesh analysis for same circuit. Could you help me to get all node equations.??

 

Thank you.
But I am getting different answer while doing mesh analysis for same circuit. Could you help me to get all node equations.??

What do you have for node 'a' at the junction of the 12V source, the 6 Ω resistor and the 20 Volt source?

 

Identify, label & color-code the nodes with unknown voltages. Designate a GND node (it is not necessary to write a node equation for the GND node, because the voltage on the GND node is known). Then write the node equations for the nodes with unknown voltage.

 

Thank you