Week 7 Capacitance, Relative Permittivity & Dielectrics Flashcards

1
Q

define capacitance

A

ratio between the charge and potential difference

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2
Q

what is the parallel plate capacitor equation

A

C = Q / ΔV = ε0A / d

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3
Q

what is capacitance measured in

A

Farads

F

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4
Q

what is the energy of a parallel plate capacitor

A

U = 1/2 C(ΔV)^2

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5
Q

what happens when the capacitor is disconnected from a battery

A

the voltage drops and capacitance increases

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6
Q

what is the relative permittivity equation

A

εr = C / Cvac

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7
Q

briefly describe dielectics

A

electrical insulators but in the presence of an external electrical field the intrinsic dipoles align

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8
Q

what is the electric dipole moment equation

A

p = qd

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9
Q

what is the external electric dipole energy equation

A

-p * Eext

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10
Q

what is the external electric dipole torque equation

A

τ = p x Eext

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11
Q

why do dipoles align

A

to minimise energy to eliminate torque

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12
Q

what is the polarisation equation

A

P = np
P is polarisation
n is the number density
p is the mean dipole moment

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13
Q

what is the linear isotropic polarisation equation

A

P = χε0E

χ is the electric susceptibility

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14
Q

what are the two types of the polarisation

A

alignment of intrinsic dipoles

dipoles are induced

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15
Q

what is the aligned polarisation equation

A

Palign = (np^2 / 3kT) Eext

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16
Q

what is the induced polarisation equation

A

Pind = n4πR0^3 ε0Eext

17
Q

what is the total polarisation

A

the sum of the induced polarisation and the aligned polarisation

18
Q

what is the bound charge polarisation equation

A

ρbound = -∇ * P

19
Q

what is the surface charge density polarisation equation

A

σ = P * n^

20
Q

what is are the two electric displacement equations

A
D = ε0E + P
D = (1 + χ) ε0E