Question

In the circuit given below, the voltage VAB is _________

(a) 6 V

(b) 25 V

(c) 10 V

(d) 40 V

I have been asked this question in homework.

This question is from Advanced Problems Involving Complex Circuit Diagram topic in chapter Network Theory and Complex Circuit Diagram of Network Theory

Answer 1

The correct option is (a) 6 V

The best I can explain: For finding the Thevenin Equivalent circuit across A-B we remove the 5 Ω resistor.

Then, I = \(\frac{10+50}{15}\) = 4 A

VOC = 50 – (10×4) =10 V

And REQ = \(\frac{10×5}{10+5} = \frac{10}{3}\) Ω

Current I1 = \(\frac{10}{10/3+5} = \frac{6}{5}\)

Hence, VAB = \(\frac{6}{5 × 5}\) = 6 V.