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Resistance, Resistivity, and Ohm's Law

Mia Gonzalez

Mia Gonzalez

6 min read

Next Topic - Electric Power

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Study Guide Overview

This study guide covers resistance, Ohm's Law (V=IRV=IRV=IR), and circuit elements. It explains resistivity, the relationship between resistance, material dimensions, and ohmic materials. The guide also discusses energy dissipation in resistors and provides practice questions and exam tips.

#AP Physics C: E&M - Resistance, Ohm's Law, and Circuit Elements ⚡

Hey, future physicist! Let's get you prepped for the AP exam with a super-focused review of resistance, Ohm's Law, and circuit elements. This is your go-to guide for a quick, effective study session the night before the test.

#Foundational Concepts: Resistance and Ohm's Law

These are the building blocks of circuit analysis. Understanding them is key to tackling more complex problems. Let's dive in!

#Ohm's Law

  • Definition: Ohm's Law describes the relationship between voltage (VVV), current (III), and resistance (RRR) in a circuit: V=IRV = IRV=IR

Key Concept

This equation is your bread and butter! Remember it well, as it's used in almost every circuit problem.

  • Voltage (VVV): The electrical potential difference across a component, measured in volts (V).
  • Current (III): The flow of electric charge, measured in amperes (A).
  • Resistance (RRR): The opposition to the flow of current, measured in ohms (Ω).

#Resistivity

  • Definition: Resistivity (hohoho) is a material's intrinsic property that measures how strongly it opposes the flow of electric current. It's measured in ohm-meters (Ω⋅m).
  • Key Point: Unlike resistance, which depends on the dimensions of the material, resistivity is a property of the material itself.

#Resistance

  • Definition: Resistance (RRR) is the measure of how much a material opposes the flow of electric current. It depends on the material's resistivity (hohoho), length (LLL), and cross-sectional area (AAA): R=ρLAR = \frac{\rho L}{A}R=AρL​
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Question 1 of 10

A circuit has a current of 2A flowing through a 6Ω resistor. What is the voltage across the resistor? ⚡

3 V

8 V

12 V

24 V