14 Electric Fields Flashcards
Principle of conversation of charge
The sum of all electric charges in any closed system is constant
Coulomb’s Law
The magnitude of the electric force between two point charges is directly proportional to the charges and inversely proportional to the square of their separation.
F = Q1Q2/4πε₀r^2
ε₀
Permittivity of free space
ε₀ = 8.85x10^-12 m^-3 kg^-1 s^-4 A^-2 (For vacuum/air)
Electric field
A region in space where a charge experiences an electric force.
Electric field strength
The electric force per unit positive charge placed at that point
E = F(E)/q
Where q is the amount of charge of a small stationary test charge
Why must test charge q be small and stationary when calculating electric field strength E
- A moving charge experiences a magnetic force
- The charge must be small so that it does not affect the electric field around it. (small in terms of charge not size)
Electric field strength near a point charge
E = Q/4πε₀r^2
Properties of a conductor in electrostatic equilibrium
- The electric field inside a conductor is zero
- The potential inside a conductor is constant
- Electric field lines are perpendicular to its surface
- Excess charge resides on the surface of the conductor.
Magnitude of electric field strength between plates
E = ΔV/d
Electric force on a charge in a uniform electric field
F = qE
Equipotential lines/surface
Lines in which points have the same electric potential. No work is done in moving charges along it. Electric field is always perpendicular to equipotential lines
Electric potential energy, U
Work done against electric force by an external agent in bringing the point charge from infinity to that point without a net change in kinetic energy.
U = qV
Electric potential, V
Work done against electric force per unit positive charge by an external agent in bringing the point charge from infinity to that point without a net change in kinetic energy.
V = U/q
Work done in moving an electric charge
qΔV
Gradient of U-x graph
Magnitude and direction of electric force
Gradient of V-x graph
Magnitude and direction of electric field strength