Capacitance and Electric Potential Quiz

The ability of a conductor to store electric charge. It is measured in Farads (F).

The amount of charge stored per unit voltage across a capacitor. Formula: C = Q/V where C is capacitance, Q is charge, and V is voltage.

The capacitance of a spherical conductor is directly proportional to its radius. Formula: C = 4πϵ₀R where R is the radius, ϵ₀ is the permittivity of free space.

The capacitance of a parallel plate capacitor is directly proportional to the area of the plates and inversely proportional to the distance between them. Formula: C = κAϵ₀/d where κ is dielectric constant, A is area, ϵ₀ is permittivity of free space, and d is distance.

The effective capacitance of capacitors connected in series is always less than the smallest individual capacitance. Formula: 1/Cs = 1/C₁ + 1/C₂ + ...

The effective capacitance of capacitors connected in parallel is the sum of individual capacitances. Formula: Cp = C₁ + C₂ + ...

The energy stored in a capacitor is proportional to the square of the charge or the square of the voltage. Formula: U = 1/2Q²/C = 1/2CV² = 1/2QV

The work done per unit charge in moving a test charge from infinity to a point in an electric field. Formula: V = W/q.

The electric potential at a point due to a point charge q at a distance r is given by: V = 1/4πϵ₀ * q/r.

The electric potential due to an electric dipole at the end-on position is given by: V = 1/4πϵ₀ * pcosθ/r².

The electric potential due to a system of charges is the sum of the potentials due to individual charges. Formula: V = 1/4πϵ₀ * Σq_i/r_i.

The negative rate of change of potential with respect to distance. Formula: E = -dV/dr.

Electric field intensity between two parallel plates is equal to the voltage across the plates divided by the distance between them. Formula: E = V/d.

The potential energy of an electric dipole in an electric field is given by: U = -vec{p} * vec{E} = -pEcosθ.

The energy stored per unit volume in an electric field. Formula: u = 1/2ϵ₀E².

The electric field intensity due to a uniformly charged surface is given by: E = σ/ϵ₀.

The capacitance of a parallel plate capacitor with a dielectric slab inserted is given by: C = Aϵ₀/(d-t+κt) where t is the thickness of the slab, and κ is the dielectric constant.

A non-conducting material placed between the plates of a capacitor to increase its capacitance. It reduces the electric field intensity and increases the charge storage capacity.

The ability of a dielectric material to increase the capacitance of a capacitor. It is represented by the symbol κ (kappa) and is a measure of how well the material reduces the electric field intensity.