Given R1=2$\Omega$, R2=7$\Omega$, R3=2$\Omega$ and R4=2$\Omega$, use nodal analysis and the prescribed reference node to calculate $v_o$ across the 2A source.
Added by Gary M.
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Step 1: Apply KCL at node $v_a$: $$\frac{v_a - 6}{R_1} + \frac{v_a - 5}{R_2} - 2 = 0$$ $$\frac{v_a - 6}{2} + \frac{v_a - 5}{7} - 2 = 0$$ $$7(v_a - 6) + 2(v_a - 5) - 28 = 0$$ $$7v_a - 42 + 2v_a - 10 - 28 = 0$$ $$9v_a = 80$$ $$v_a = \frac{80}{9} V$$ Show more…
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