Current Electricity Charging Discharging Of Capacitors Question 719

Question: The four wires from a larger circuit intersect at junction A as shown. What is the magnitude and direction of the current between points A and B?

Options:

A) 2A from A to B

B) 2A from B to A

C) 3A from A to B

D) 2A from B to A

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Kirchhoff’s junction rule states that the algebraic sum of all currents into and out of any branch point is zero: $ \sum I=0 $ By convention, the sign of current entering a junction is positive and current leaving a junction is negative. $ 4A+5A-6A+I _{AB}=0, $

Therefore $ I _{AB}=-3A. $ The wire between points A and B carries a current of 3A away from the junction.