Three dielectrics of relative permittivities `epsilon_(r_(1))=1,epsilon_(r_(2))=2`, and `epsilon_(r_(3))=3`
are introduced in a parallel plate capacitor of plate A and B.
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Two dielectric slabs of relative oremittivities epsilon_(r_(1))=2 and epsilon_(r_(2))=3 and thickness s=2d are filled in between the grounde plattery each of area A If a battery of emf epsilon is connected to the middle conducting plate, dind the a. capacitance of the system, b. charge flowing through the battery, c. energy stored in the system. .

Two dielectric slabs of relative oremittivities epsilon_(r_(1))=2 and epsilon_(r_(2))=3 and thickness s=2d are filled in between the grounde plattery each of area A If a battery of emf epsilon is connected to the middle conducting plate, dind the a. capacitance of the system, b. charge flowing through the battery, c. energy stored in the system. .

A parallel plate capacitor having plates of area S and plate separation d, has capacitance C_1 in air. When two dielectrics of different relative primitivities ( epsilon_1=2epsilon_0 and epsilon_2=4epsilon_0 ) are introduced between the two plates as shown in the figure, the capacitance becomes C_2 . The ratio C_2/C_1 is

The relative permittivity (epsilon_r) of a dielectric is given by

The capacitance of a parallel plate condenser is C_(0) If a dielectric of relative permittivity epsilon_(r) and thickness equal to one fourth the plate separation is placed between the plates, then its capacity becomes C. The value of (C)/(C_(0)) will be -

The capacitance of a parallel plate condenser is C_(0) If a dielectric of relative permittivity epsilon_(r) and thickness equal to one fourth the plate separation is placed between the plates, then its capacity becomes C. The value of (C)/(C_(0)) will be -

The gap between the plates of a parallel-plate capacitor is filled with istropic dielectrc whose permittlvity epsilon varies linearly from espilon_(1) to epsilon_(2) (epsilon_(2) gt epsilon_(1)) in the direction perpendicular to the plates. The area of each plate equals S , the separation between the plates is equal to d . Find : (a) the capacitance of the capacitor, (b) the space density of the bound chagres as a function of a if the charge of the capacitor is q and E in it is directed toward the growing epsilon values.