Electronic – Find current ‘i’ using Nodal Analysis

homeworkkvlmeshNetworknodal-analysis

Here I know how we apply nodal analysis, but can somebody explain how can we calculate the current 'i' if there is no resistor in that particular wire?

I have shown my approach and working so far. I would really appreciate any guidance to steer me through the next steps to the solution.

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Best Answer

Thanks for the addition. Just follow these steps:

schematic

simulate this circuit – Schematic created using CircuitLab

At this point, you've only one unknown node voltage, \$V_x\$, which is now easily computed using nodal analysis (or by simple inspection.) With \$V_x\$ in hand, you can work out all the currents in resistors \$R_1\$ through \$R_4\$.

(The current in \$R_5\$ is obviously already given. \$R_5\$ can be simply shorted out if you prefer, as its only impact is upon the voltage across the current source and no one cares what that is, anyway.)

With all the currents in hand, you can now use KCL on the top-right corner node to work out the current and its direction in \$V_2\$. And then use KCL on the node just above \$i\$ to work out the magnitude and direction of \$i\$.

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