Question

Find the current in 5Ω resistor near 12V source using superposition principle in network given

(a) 2.9A

(b) -2.9A

(c) 1A

(d) -1A

I got this question in a national level competition.

The origin of the question is Maximum Power Transfer and Superposition in division Techniques of Circuit Analysis of Electric Circuits

Answer 1

Right option is (b) -2.9A

For explanation I would say: Only 3 sources are considered (12V, 10A, 20V), other is dependent (10I).

 12v source: I=0.6A

10A source: I=-2.5A through 5Ω resistor and I=7.5A

20v source: I=-1A

Total current = 0.6+ (-2.5) + (-1) = -2.9A.