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Find the value of v if v1=20V and value of current source is 6A.(a) 10V(b) 12V(c) 14V(d) 16VThis question was addressed to me in a national level competition.My doubt is from Kirchhoff’s Current Law in chapter Simple DC Networks of Basic Electrical Engineering

Answer»

The correct CHOICE is (b) 12V

The best EXPLANATION: The CURRENT through the 10 OHM resistor=v1/10=2A.Applying KCL at node 1: i5=i10+i2. i2=6-2=4A.

Thus the drop in the 2 ohm resistor = 4×2 = 8V.

v1=20V; hence v2=20-v across 2 ohm resistor=20-8=12V

v2=v since they are connected in parallel.

v=12V.



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