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Electric Forces and Free-Body Diagrams

Elijah Ramirez

Elijah Ramirez

7 min read

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Study Guide Overview

This study guide covers Coulomb's Law (including the formula, key ideas, and common mistakes), Free-Body Diagrams (FBDs) (including how to draw them and key points), and practice questions involving both concepts. It emphasizes the importance of understanding net force, equilibrium, and the relationship between charge, distance, and force. The guide also provides exam tips and high-priority topics for the final exam.

#AP Physics 2: Electric Forces & Free-Body Diagrams ⚡

Hey there, future AP Physics 2 master! Let's get you prepped and confident for your exam. This guide is designed to be your go-to resource, especially the night before the big day. We'll break down the concepts, highlight key points, and tackle some practice problems together. Let's do this!

#Electric Forces: Coulomb's Law

#What is it? 🤔

Coulomb's Law tells us about the force between two charged objects. Think of it like gravity, but for charges! It's all about how much charge each object has and how far apart they are.

#The Formula:

F=k∣q1q2∣r2F = k \frac{|q_1 q_2|}{r^2}F=kr2∣q1​q2​∣​

Where:

  • FFF is the electrostatic force (in Newtons)
  • kkk is Coulomb's constant (8.99 \times 10^9 N \cdot m^2/C^2)
  • q1q_1q1​ and q2q_2q2​ are the magnitudes of the charges (in Coulombs)
  • rrr is the distance between the charges (in meters)
Key Concept

Remember: Like charges repel, and opposite charges attract. If the result is positive, the force is repulsive. If the result is negative, the force is attractive.

#Key Ideas:

  • Force is a Vector: Electrostatic force has both magnitude and direction.
  • Newton's Third Law: If charge 1 exerts a force on charge 2, then charge 2 exerts an equal and opposite force on charge 1. 🤯
  • Point Charges: We treat charges as if they're concentrated at a single point. This simplifies calculations, especially when dealing with objects that are small compared to the distance between them.
Memory Aid

Think of Coulomb's Law like a social interaction: the more 'charged' (bigger q1 and q2) people are, the stronger their interaction. And the further apart they are (bigger r), the weaker the interaction.

#Visualizing the Force:

![Coulomb's Law](https://zupay.blob.core.windows.net/resources/files/0baca4f69800419293b4c75aa2870acd_6c49cb_4533.png?alt=media&token=2cd30629-01e9-44ea-8014-10...

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Question 1 of 8

Two charges are initially a distance 'r' apart. If the distance is doubled, how does the electrostatic force between them change? 🤔

It doubles

It halves

It reduces to one-fourth

It quadruples