Question

In the figure below, six currents meet at point $P .$ What is the magnitude and direction of the current between points $P$ and $x ?$ (A) 2 A, toward x (B) 2 A, toward P (C) 10 A, toward x (D) 10 A, toward P

Name: Problem 12, Chapter :
Uploaded: 2020-07-15T21:40:40-08:00
Duration: 1 min 54 s
Channel: Averell Hause
Description: In the figure below, six currents meet at point P . What is the magnitude and direction of the current between points P and x ? (A) 2 A, toward x (B) 2 A, toward P (C) 10 A, toward x (D) 10 A, toward P

   In the figure below, six currents meet at point $P .$ What is the magnitude and direction of the current between points $P$ and $x ?$
(A) 2 A, toward x
(B) 2 A, toward P
(C) 10 A, toward x
(D) 10 A, toward P

Instant Answer

Solved by Expert Averell Hause

07/15/2020

Step 1

Step 1: According to Kirchhoff's Junction Rule, the sum of all currents directed into a point is always equal to the sum of all currents directed out of the point. Show more…

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In the figure below, six currents meet at point $P .$ What is the magnitude and direction of the current between points $P$ and $x ?$ (A) 2 A, toward x (B) 2 A, toward P (C) 10 A, toward x (D) 10 A, toward P

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Key Concepts

Kirchhoff's Current Law (KCL)

Kirchhoff's Current Law states that the total current entering a junction must equal the total current leaving the junction. This concept is central to circuit analysis as it is based on the conservation of electric charge, providing a method to write equations that balance the currents at any node in a circuit.

Sign Conventions and Current Direction

Understanding the direction of current and properly applying sign conventions is essential in circuit analysis. Assigning positive and negative signs to currents based on their directions allows one to accurately combine them in the equations derived from Kirchhoff's laws, leading to the determination of unknown current magnitudes and directions.

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