Electrostatics

Properties of charges

Charges exert force

Charges are quantized

Charges are conserved

Coulomb's Law

Definition

The attractive force or the repulsive force of two point charges is directly proportional to the magnitude of the two point charges and inversely proportional to the distance of the two point charges squared.

Formula

electrostatic-force-equation

Important Notes

Notes

Coulombs's law force is vector

The sign is not inserted into Coulomb's law equation

The net force is vector sum which consideration of direction

Conductors and Insulators

Important Key Points

Conductors

Able to conduct

Have free electrons not tightly bounded to atoms

The Electric field inside the conductor is zero

The charges reside on the surface

The Electric field is perpendicular to the surface

High concentration of charges on high curvature

Insulators

No free electrons, tightly bounded to atoms

able to conduct but very little

How to acquire charges? How to release charges?

Charging

Induction, net charge=0

Grounding

Discharging

Grounding

Contact

Contact/ Conduction

Electric Field

Definition

The electric field strength is defined in a field as the force exert on a point charge by a test charge by a distance of separation.

Formula

efiedef

Important Notes

Notes

Electric field is a vector

The sign is not inserted in Electric field equation

The net electric field is vector sum

Electric dipole

Happens when charges of equal magnitude but opposite sign

Formula

hqdefault

Charge densities

slide-14

Gauss Law

Definition

The net electric flux is directly proportional to the net electric charge passing through any enclosed space.

Formula

General

gaulaw2

Line

gauss_law3

Sphere

hqdefault (1)

35.Electric-Flux-and-Gausss-Law-Electric-Field-due-to-Two-Parallel-Plates

Electric Potential

Work

Equipotential Surface

Surface where the electric potential is same on every point

Electric field perpendicular to the equipotential surface

Same as electrical potential energy

image156

Work done positive = with the flow of electric field

Work done negative = against electric field

Net work done/ electric potential energy= algebraic sum due to other point charges on the test charge

Definition

Work done to bring a charge from a point to another point

Formula

potentialenergyformula

Electric potential only depends on final and initial position of a particle regardless of the path taken

Important Notes

Net electric potential on a test charge due to other point charges is the algebraic sum

Even though electric field is zero inside a conductor but the electric potential is constant in the range of radius of conductor

Electric field and electric potential relation

4231785

ewor3

Sphere

Plates