Question

Find node voltages v₁ and v₂ using nodal analysis. Use of other methods will result in zero credit.

a) Apply Kirchhoff's voltage law to node v₁
b) Use mesh analysis to find v1 and v₂
c) Apply Ohm's law to find v1 and v₂
d) Use nodal analysis to find v1 and v₂

Answer 1

To find node voltages v₁ and v₂ using nodal analysis, we need to apply Kirchhoff's current law (the junction rule) at each node. Solving the resulting equations will give us the values of v₁ and v₂.

Step-by-step explanation:

To find node voltages v₁ and v₂ using nodal analysis, we need to apply Kirchhoff's current law (also known as the junction rule). Kirchhoff's first rule states that the sum of currents entering a junction is equal to the sum of currents leaving that junction.

In this case, we can apply the junction rule at node v₁ to get an equation involving v₁ and the currents flowing into and out of that node. Solving this equation will give us the value of v₁.

To find v₂, we can again apply the junction rule, this time at node v₂. This will give us another equation involving v₂ and the currents flowing into and out of that node. Solving this equation will give us the value of v₂.