PHY2_11_12_Q3_0302_FD

Unit 3: Electric Potential

Lesson 3.2: Electric Potential and Potential Difference

Contents

  • Introduction

  • Learning Objectives

  • Warm Up

  • Learn about It!

  • Electric Potential

  • Potential Difference

  • Charge and Electric Potential

  • Applications of Electric Potential Difference in Circuitry

  • Key Points

  • Key Formula

  • Check Your Understanding

  • Challenge Yourself

  • Bibliography

  • Key to Try It!

Introduction

  • Circuitry visualized as energy conversion systems.

  • In electric circuits, chemical energy from a battery works on charges by moving them from low to high potential terminals.

  • Energy transforms from chemical to electrical and then into other forms (heat, light) when charges move in the external circuit.

Learning Objectives

  • Differentiate electric potential and potential difference.

  • Explain relationships between charges, electric fields, and electric potential.

  • Calculate electric potential in relation to unit charge.

  • Identify applications of electric potential in circuitry.

  • Understand the concept of work, potential energy, and electric fields in relation to electric potential.

Warm Up: Electric Field and Potential Simulator

  • Visualize electric potential maps using the electric field and potential simulator.

  • Materials Needed: Electric field simulator, worksheet.

  • Set simulator to "two unlike charges" to observe results.

Electric Potential

  • Definition: Electric potential (also called potential) is the potential energy per unit charge (U/q).

  • SI Unit: Volt (V), equivalent to joule per coulomb (J/C).

  • Key Relationship:

    • V = k * q / r, where:

      • V = potential

      • k = Coulomb's constant

      • q = charge

      • r = radius

  • Instruments for measuring potential difference: Voltmeters.

Potential Difference

  • Defined as the difference in electric potential between two points (Va and Vb).

  • Mathematically expressed as:

    • Vab = Va - Vb

  • Voltage indicates how much work is done to move a unit charge from one point to another.

  • The potential energy increases as a positive charge moves from the negative to the positive terminal of a battery (loss converts to other energy forms in the circuit).

Charge and Electric Potential

  • As a charged particle moves within the electric field, its potential energy (UE) decreases.

  • Positive Charges:

    • Electric potential is high near the charge and decreases with distance.

  • Negative Charges:

    • The electric potential behaves inversely compared to positive charges.

Applications of Electric Potential Difference in Circuitry

  • Voltage indicates energy gain/loss during the movement of charges.

  • A battery with voltage (e.g., 20 volts) signifies the gain of energy as charges move from the negative terminal to the positive terminal.

Key Points

  • Electric potential = potential energy per unit of charge.

  • SI Unit: 1 Volt = 1 Joule/Coulomb.

  • Electric potential difference is indicative of work done in moving charges between two points.

  • The electric field flows from regions of high to low potential.

Key Formula

  • Electric Potential:

    • V = k * q / r

Check Your Understanding

  • Statements validation: true or false based on electric potential concepts.

Challenge Yourself

  • Series of questions relating electric potential changes to kinetic energy movements within electric fields.

  • Application scenarios presented with conceptual analysis.

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