Every electrolytic capacitor in principle forms a " plate capacitor " whose capacitance increases with the electrode area ( A ) and the permittivity ( ? ) and decreases with the thickness ( d ) of the dielectric.
22.
Every electrolytic capacitor in principle forms a " plate capacitor " whose capacitance is greater the larger the electrode area, A, and the permittivity, ?, are and the thinner the thickness, d, of the dielectric is.
23.
In the simplest example, if you make a parallel-plate capacitor where one or both of the plates has a low density of states, then the capacitance is " not " given by the normal formula for parallel-plate capacitors.
24.
In the simplest example, if you make a parallel-plate capacitor where one or both of the plates has a low density of states, then the capacitance is " not " given by the normal formula for parallel-plate capacitors.
25.
Where the dependence on the area of the plates, the dielectric constant of the material between the plates, and the separation are abstracted away as the capacitance . ( For a parallel plate capacitor, this is proportional to the area of the plates and inversely proportional to the separation .)
26.
Since the field inside a parallel plate capacitor depends linearly on the potential, the index of refraction depends linearly on the field ( for crystals where Pockels effect dominates ), and the phase depends linearly on the index of refraction, the phase modulation must depend linearly on the potential applied to the EOM.
27.
For a surface charge distribution ( a good approximation for charge on a plate in a parallel plate capacitor ) where \ sigma ( \ mathbf { r ^ \ prime } ) gives the charge per unit area at position \ mathbf { r ^ \ prime }, and dA ^ \ prime is an infinitesimal element of area,
28.
According to the 1911 edition of Encyclop�dia Britannica, among Cavendish's discoveries were the concept of electric potential ( which he called the " degree of electrification " ), an early unit of capacitance ( that of a sphere one inch in diameter ), the formula for the capacitance of a plate capacitor, the concept of the dielectric constant of a material, the relationship between electric potential and current ( now called Ohm's Law ) ( 1781 ), laws for the division of current in parallel circuits ( now attributed to Charles Wheatstone ), and the inverse square law of variation of electric force with distance, now called Coulomb's Law.
