Electric Charge
Electricity at rest involves electric charges, forces between them, and their behavior in materials.
Charging by Friction:
The simplest method to charge an object by rubbing two different materials together.
Transfer of electrons causes one object to become positively charged (electron loser) and the other negatively charged (electron gainer).
The net charge remains zero, showing conservation of charge.
Similar charges repel; opposite charges attract.
Charging by Conduction:
Involves direct physical contact between two objects.
Diagram Explanation:
(A) Negatively charged metal and uncharged metal.
(B) Charge separation occurs.
(C) The objects are touched.
(D) Negative object is removed; both have negative charge.
A positive object touching an uncharged one will cause the neutral object to donate electrons to the positively charged object.
Charging by Induction:
Charging a conductor without direct contact.
Involves grounding wires which allow electrons to escape or enter.
Diagram Explanation:
(A) Neutral object grounded.
(B) Electrons escape to the ground.
(C) Wire is snipped, leaving a net positive charge.
Electrostatic Series
Helps identify materials' tendency to gain or lose electrons when rubbed together.
Electroscope:
A scientific instrument to detect and measure electric charge.
Functions by responding to electrostatic forces acting on conductors.
Electric Force
Defined through quantity of charge (q).
Units of Charge:
Coulomb (C): 1 C = 6.25 x 10^18 electrons; 1 electron = -1.6 x 10^-19 C.
Commonly used metric prefixes: 1 μC = 1 x 10^-6 C, 1 nC = 1 x 10^-9 C, 1 pC = 1 x 10^-12 C.
Coulomb’s Law:
The force between two point charges is directly proportional to the product of charges and inversely proportional to the square of the distance between them.
Superposition Principle:
Total electric force on a charge is the vector sum of forces from other charges.
Van de Graaff Generator:
An electrostatic machine for generating high voltages, allowing charged particles to experience electric forces.
Electric Field:
Electric field E is established by a charge and is defined at any point by the force experienced by a +q test charge placed in that field.
E direction is away from positive charges and toward negative charges.
Electric Field Lines:
Imaginary lines illustrate the direction of the electric field.
Lines are tangent to the electric field vector at any point.
Electric Flux (φ):
Describes the flow of electric field through a surface.
Depends on strength of electric field (E), surface area (A), and orientation of the field.
Flux conditions: Positive when pointing outward, negative inward.
Gauss’ Law:
Total electric flux through a closed surface is proportional to net charge inside.
Electric Potential (V):
Work done in moving a charge against an electric field.
Positive work, raising potential energy.
Potential due to a positive charge is positive; due to a negative charge is negative.
Unit: Joules per Coulomb (J/C).
Potential difference (VAB) is found by subtracting potentials at two points.
Electric Field vs. Electric Potential:
Electric field exists with a potential difference.
Potential lines indicate areas of equal electric potential.
Capacitance (C):
Device that stores electric charges, consists of two plates separated by an insulator (dielectric).
Capacitance Definition: C = Q/V (Coulombs per Volt).
Factors affecting capacitance: area of plates, distance between them, and insulating material between them.
Energy in Capacitors:
Stored energy in a capacitor: U = ½ QV.
Circuits can include series and parallel capacitor configurations.
Electric Current (I):
Rate of flow of charge through a section.
1 Ampere = 1 Coulomb/second.
Resistance (R):
Determined by material properties: length (L), area (A), and temperature (T).
Resistance is linearly related to the applied voltage in ohmic materials.
Ohm's Law:
I = V/R; describes relationship for ohmic conductors vs. non-ohmic.
Resistivity (ρ):
Property influencing electrical resistance, measured in ohm-meters (Ω·m).
Electromotive Force (EMF):
Energy per unit charge; source for current flow in circuits.
Examples: batteries, power lines.
Electric Power:
Calculated via P = I * V.
Common symbols used in electrical circuits:
Ammeter, battery, fuse, light bulb, resistor, variator, voltmeter, switch, and electric wire.
This section contains general notes for reference throughout the semester.