Home
Class 12
PHYSICS
A parallel plate capacitor has square pl...

A parallel plate capacitor has square plates of side length L. Plates are kept vertical at separation d between them. The space between the plates is filled with a dielectric whose dielectric constant (K) changes with height (x) from the lower edge of the plates as `K = e^(betax)` where b is a positive constant. A potential difference of V is applied across the capacitor plates.
(i) Plot the variation of surface charge density (s) on the positive plate of the capacitor versus x.
(ii) Plot the variation of electric field between the plates as a function of x.
(iii) Calculate the capacitance of the capacitor.

Promotional Banner

Similar Questions

Explore conceptually related problems

The space between the capacitor plates is filled with a dielectric of dielectric constant K. How will the capacity change ?

A parallel plate capacitor has square plates of side length L kept at a separation d. The space between them is filled with a dielectric whose dielectric constant changes as K = e^(betax) where x is distance measured from the left plate towards the right plate, and b is a positive constant. A poten- tial difference of V volt is applied with left plate positive. (i) What happens to capacitance of the capacitor if d is increased ? What is the smallest possible capacitance that can be obtained by changing d ? (ii) Write the expression of electric field between the plates as a function of x .

A parallel plate capacitor with air between the plates has a capacitance C. If the distance between the plates is doubled and the space between the plates is filled with a dielectric of dielectric constant 6, then the capacitance will become.

A parallel plate capacitor with air between the plates has a capacitance C. If the distance between the plates is doubled and the space between the plates is filled with a dielectric of dielectric constant 6, then the capacitance will become.

A parallel plate capacitor has plate area A and plate separation d. The space between the plates is filled up to a thickness x (ltd) with a dielectric constant K. Calculate the capacitance of the system.

A parallel plate capacitor has plate area A and plate separation d. The space betwwen the plates is filled up to a thickness x (ltd) with a dielectric constant K. Calculate the capacitance of the system.

A parallel plate capacitor has plate area A and plate separation d. The space betwwen the plates is filled up to a thickness x (ltd) with a dielectric constant K. Calculate the capacitance of the system.

A parallel plate capacitor is charged completely and then disconnected from the battery. IF the separation between the plates is reduced by 50% and the space between the plates if filled with a dielectric slab of dielectric constant 10, then the potential difference between the plates

A capacitor of plate area A and separation between plates d is half filled with dielectric of dielectric constant K. What is equivalent capacitance?