Question

Consider the figure shown below. Find the voltage (V) at node 1.

(a) 13

(b) 14

(c) 15

(d) 16

I had been asked this question by my college professor while I was bunking the class.

This interesting question is from Supernode Analysis topic in division Methods of Analyzing Circuits of Network Theory

Answer 1

Right option is (b) 14

For explanation I would say: Applying Super Node Analysis, the combined equation of node 1 and node 2 is (V1-V3)/3+3+(V2-V3)/1-6+V2/5=0. At node 3, (V3-V1)/3+(V3-V2)/1+V3/2=0. Also  V1-V2=10. On solving above equations, we get V1 = 13.72V ≈ 14V.