In Example 21.3 , calculate the net force on charge q1. |...

Name: Problem 15, Chapter 21: University Physics with Modern Physics
Uploaded: 2019-07-28T22:15:29-08:00
Duration: 5 min 40 s
Channel: Rachel Wellington
Description: In Example 21.3 , calculate the net force on charge q1.

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Key Concepts

Principle of Superposition

The Principle of Superposition is essential when dealing with multiple charges. It states that the net force on any given charge is the vector sum of the individual forces exerted by each of the other charges. This principle allows us to analyze complex systems by breaking down the interactions into simpler pairwise forces and then combining them to understand the overall effect.

Coulomb's Law

Coulomb's Law is a fundamental principle in electrostatics that quantifies the electric force between two point charges. It states that the magnitude of the force is directly proportional to the product of the magnitudes of the two charges and inversely proportional to the square of the distance between them. This law provides the basis for calculating the force in any interaction between charged particles.

Vector Addition

Vector Addition is the process of combining vector quantities, like forces, which possess both magnitude and direction. Since electric forces are vectors, their overall effect on a charge is determined by adding them as vectors. This typically involves decomposing forces into their components, summing the components along each coordinate axis, and then reconstructing the resultant vector that describes the net force.

Transcript

00:01 Hey everyone, this is question number 15 from chapter 21.

00:04 In this problem, we're asked to look at example 21 .3, which is about three -point charges.

00:10 Similar to question 13, if you've looked at that.

00:14 But we have three -point charges on a line.

00:16 I went ahead and drew a quick diagram.

00:18 We have q1, one nano -culem at x equals 2.

00:21 It's in the middle.

00:22 Q2, 3, minus 3 nanoculams, and that is at x equals 4 centimeters.

00:29 And then q3, positive 5 nanoculams at x equals 0.

00:34 So we are asked to find the net force on q1.

00:36 So when we're dealing with net forces, we're going to have the force of 3 on 1, and we're going to have the force of 2 on 1, and then we're going to add those together.

00:44 And if you notice, the force 1 is positive, q2 is negative.

00:50 So that's going to be attractive because it's opposites.

00:54 And then 1 and 3 are both positive, so those are going to be repulsive.

00:57 So the net motion is going to be to the right to the positive x direction.

01:04 So i wrote out kulam's equation just as a reminder.

01:07 You should know this by now.

01:08 But we can go ahead and start by solving for the force of two on one.

01:15 So that's going to equal k, which is 9 times 10 to the 9th, newton meters cubed per kulum squared.

01:26 And then q2 is minus 3...