Five current carrying conductors meet at a point $P$ . What is the magnitude and direction of the current in the fifth conductor?

Question

Five current carrying conductors meet at a point P . What is the magnitude and direction of the current in the fifth conductor?

Aicharya · Accepted Answer

Using Kirchoff's junction law which is based upon the law of conservation of charge,

Net charge accumulation at any junction is zero, therefore, $\sum_{i = 1}^{n} = I_{1} + I_{2} + \dots \dots + I_{n}$

At junction $P,$

$(+ 5 A) + (+ 4 A) + (- 3 A) + (- 5 A) + I_{P} = 0 \Rightarrow I_{P} = 1 A$

Therefore, the current of $1 A$ is flowing from $P to Q .$

Five current carrying conductors meet at a point P . What is the magnitude and direction of the current in…