In the circuit given below, the value of voltage VO using Superposition Theorem is _________(a) −30 – 10IO(b) 30 + 10IO(c) −30 + 10IO(d) +30 – 10IOThe question was posed to me during an interview.Query is from Advanced Problems on Superposition Theorem topic in division Useful Theorems in Circuit Analysis of Network Theory

In the circuit given below, the value of voltage VO using Superpositio

1.	In the circuit given below, the value of voltage VO using Superposition Theorem is _________(a) −30 – 10IO(b) 30 + 10IO(c) −30 + 10IO(d) +30 – 10IOThe question was posed to me during an interview.Query is from Advanced Problems on Superposition Theorem topic in division Useful Theorems in Circuit Analysis of Network Theory
Answer» Correct ANSWER is (c) −30 + 10IO Easy explanation: Using Superposition Theorem the VOLTAGE VX is GIVEN as, VX = (3-IO) (2\|\|40) + 5VX \(\frac{2}{40+2}\) Or, VX = \(\frac{80}{42}(3 – I_O) + \frac{10}{42}\)VX Or, VX = \(\frac{\frac{80}{42}}{1-\frac{10}{42}}\)(3 – IO) = 2.5(3 – IO) ∴ VO = VX – 5VX = −30 + 10IO.

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