Parallel-Plate capacitors

Capacitor

A device used to store electrical charge and electrical density.

This device generally consists of two electrical conductors separated by distance.

Electrodes, capacitor plates

Two different names in which the “electrical conductors” of this device is addressed

Vacuum capacitor

When the space between the capacitor simply is a vacuum.

Dielectric

The insulating material used to fill the space between the capacitors

battery potential, charge, positive plate, negative plate, neutral

When batter terminals are connected to the initially uncharged capacitors, the _________________ moves a small amount of ______ of magnitude Q from the ______________ to the ______________. The capacitor remains _______ but with charges +Q and -Q residing on opposite plates.

Parallel-plate capacitor

A system composed of two identical parallel-conducting plates separated by a distance.

σ

Symbol that represents the surface charge density on one plate of the capacitor

E = σ/ε0

Formula for the magnitude of the Electric field in the space between the parallel plates of the capacitors

directly proportional

The magnitude of the capacitor’s Electric field is _____________________ to the charge.

shapes, sizes, charge, applied voltage

Capacitors with different ______ and _____ store different amounts of ______ for the same ______________ across their plates.

C = Q/ΔV

Basic formula of capacitance

farad (F)

The SI unit of Capacitance

Michael Faraday

The physicist, after whom the SI unit of capacitance was named.

1F = 1C/1V

Derived SI unit of capacitance

Picofarads(10^-12) to Millifarads (10^-3)

Typical capacitance value range

Gauss’s law

Use ___________ if the symmetry is present in the arrangement of conductors.

Vb - Va = - ∫ab E.dl

The formula to find the potential difference between the capacitor plates

increases, charge values, decreased distance

The electric force between the parallel capacitor plates _________ with _____________ and with the ________ between the plates.

capacitor plates, charge, store

The bigger the ________________ are, the more ______ they can _____.

area, capacitance

The larger ____ of the parallel capacitor plates, provide a larger ___________

closer, greater, attraction

The ______ the capacitor plates are, the _______ the __________ of the opposite _______ on them.

distance, capacitance

The smaller ________ between the parallel capacitor plates, gives us a greater ___________.

σ = Q/A

Formula for the surface charge density on the plates of a parallel plate capacitor

E = σ/ε0

Formula for the magnitude of the electrical field between the plates of a parallel plate capacitor

ε0

Symbol that represents the constant of the permittivity of the free space

8.85×10^-12 F/m

Value of the ε0

C²/N*m²

Derived unit for F/m

V = Ed

Second formula to calculate the potential difference between the plates of the parallel plate capacitor

V = σd/ε0

Third formula to calculate the potential difference between the plates of the parallel plate capacitor

V = Qd/ε0Α

Fourth formula to calculate the potential difference between the plates of the parallel plate capacitor

C = Q/(Qd/ε0A)

Second formula to calculate the capacitance of the parallel plate capacitor

C = ε0(A/d)

Third formula to calculate the capacitance of the parallel plate capacitor