Coulomb's Law

Forces with which two
charges attract or repel
each other are not affected by the
presence of other charges.

Forces are attractive for unlike charges and repulsive for like charges

🌟Equation:
F=k(q1q2)/r²
k= 9x10^9 NC^-2 m²

q1 and q2 are two charges and r is the distance between these two charges.

It is the force between electric charges

F is the force of attraction or repulsion and unit force is Newton

When there are number if charges
interacting then total force on a given charge is the vector of sum forces exerted on it by all other charges

Electrostatics

Electric Potential

Work done to bring a unit positive charge from infinity to a point

V=W/qo=kQ/r
🌽(include sign)
🌽Scalar quantity
🌽Volt(V) or JC^-1

Electric Potential difference
🔺V=🔺W/qo
🔺V=Vf-Vi

W=kQq/r

Electric Potential Energy,U
U=k(Q1Q2/r1+Q2Q3/r²+Q1Q3/r³)

🔺U=qo🔺V

Gauss's Law

If the plane is : 1) perpendicular to the electric field line -electric flux exists
2) parallel - electric flux zero

4 basic cases where GL can be performed : 1)single charged sphere
2)uniformly charged sphere
3)uniform line charge
4)uniform plane

Net flux through closed surface
Φ=q/ε0

Electric field due to linear charge
E=k(2λ/r)

Electric field due to spherical shell outside points : E=kQ/r²

Inside points, E=0

Electric field due to and sheet of charge
E=σ/2ε0