0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K=2.The level of liquid is d3 initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time t is :

32339.PNG
  1. 6ϵ0R5d+3Vt
  2. (15d+9Vt)ϵ0R2d23dVt9V2t2
  3. 6ϵ0R5d3Vt
  4. (15d9Vt)ϵ0R2d2+3dVt9V2t2

A
6ϵ0R5d3Vt
B
6ϵ0R5d+3Vt
C
(15d+9Vt)ϵ0R2d23dVt9V2t2
D
(15d9Vt)ϵ0R2d2+3dVt9V2t2
Solution
Verified by Toppr

At time t the level of liquid is,

d3VtCeq=ϵ0KAd3Vtϵ0A2d3+Vtϵ0KAd3Vt+ϵ0A2d3+Vt=ϵ0KAK(2d3+Vt)+d3Vt=2ϵ0(4d3+2Vt)+d3Vt=2ϵ0(5d3+Vt)=6ϵ05d+3Vtτ=RCeq=6ϵ0R5d+3Vt

Was this answer helpful?
2
Similar Questions
Q1
A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K=2. The level of liquid is d3 initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time t is

View Solution
Q2
A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K=2. The level of liquid is d3 initially. Suppose the liquid level decreases at a constant speed V. The time constant as a function of time t is expressed as nϵ0R5d+3Vt. Then the value of n is
View Solution
Q3
A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K=2.The level of liquid is d3 initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time t is :

32339.PNG
View Solution
Q4
A parallel plane capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant k=2. The level of liquid is d3 initially. Suppose the liquid level decreases at a constant speed v, the time constant as a function of time t is:
808659_6c0c7059060c496892886901c7c2cc6a.png
View Solution
Q5
A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constant k1,k2 and k3 as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by
1010958_ba0cf85d39084bd7bda687fc62ee18e3.png
View Solution