Question

In the circuit given below, the value of voltage VX using Superposition Theorem is _________

(a) 5(IO – 3)

(b) 2.5(IO – 3)

(c) 4.5(3 – IO)

(d) 2.5(3 – IO)

The question was posed to me in an online quiz.

My enquiry is from Advanced Problems on Superposition Theorem in section Useful Theorems in Circuit Analysis of Network Theory

Answer 1

The correct answer is (d) 2.5(3 – IO)

Best explanation: Using Superposition Theorem the voltage VX is given as,

VX = (3-IO) (2||40) + 5VX \(\frac{2}{40+2}\)

Or, VX = \(\frac{80}{42}(3 – I_O) + \frac{10}{42}V_X\)

Or, VX = \(\frac{\frac{80}{42}}{1-\frac{10}{42}}(3 – I_O)\) = 2.5(3 – IO).