8.1 Conservation of Charge

8.1 Conservation of Charge The principle of conservation of charge states that the total electric charge in a closed system remains constant over time. Charge can neither be created nor destroyed, only transferred between objects.

8.1 Conservation of Charge


As of 2021, the College Board only tests Units 1-7 on the AP Physics 1 exam. This content will not be tested on the exam, but it remains a valuable resource for exploring the foundations of electric charge.


Enduring Understandings

5.A: Conservation of Quantities

Certain quantities are conserved, meaning the changes within a system are always equal to the transfer of that quantity to or from the system by all possible interactions with other systems.

1.B: Electric Charge

Electric charge is a property of an object or system that determines its interactions with other objects or systems containing charge.


Essential Knowledge

1.B.1: Conservation of Electric Charge

  • The net charge of a system is the sum of the charges of all objects in the system.

1.B.2: Types of Electric Charge

  • There are only two kinds of electric charge: positive and negative.

  • Neutral objects or systems contain equal quantities of positive and negative charges.

  • Some fundamental particles, like neutrons, have no electric charge.

1.B.3: Elementary Charge

  • The smallest observed unit of charge that can be isolated is the elementary charge (e).


What is Charge?

Charge is a fundamental property of matter, similar to mass. Key properties include:

  • Elementary Charge (e): The charge on a proton (+1e) or an electron (-1e).

    • .

    • Charge in larger systems is measured in Coulombs (C).

    • Total charge must be an integer multiple of the elementary charge, as electrons cannot be divided.

Types of Charge:

  1. Static Charge:

    • Charge that remains localized.

    • Examples:

      • Shocks and sparks on dry winter days.

      • Static electricity causing bad hair days.

  2. Flowing Charge (Current):

    • Charge moving in a loop is referred to as a circuit.

    • Current () is the rate of charge flow:

    Where:

    • : Current (Amperes, A).

    • : Charge (Coulombs, C).

    • : Time (seconds).


Conservation of Charge

Charge cannot be created or destroyed. In any interaction, the total charge remains constant before and after the interaction.


Example:

If two objects interact and one gains 5e of charge, the other must lose 5e to ensure conservation. This principle underpins all electrical interactions and circuit behavior.

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