Question
A capacitor is charged by using a battery which is then disconnected. A dielectric slab is introduced between the plates which results in:

Answer

  1. Decrease in the potential difference across the plates and reduction in the stored energy but no change in the charge on the plates.
Explanation:
If a dielectric slab of dielectric constant K is filled in between the plates of a capacitor after charging the capacitor (i.e., after removing the connection of battery with the plates of capacitor) the potential difference between the plates reduces to $\frac{1}{\text{K}}$​ times and the potential energy of capacitor reduces to$\frac{1}{\text{K}}$times but there is no change in the charge on the plates.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Gauss's law is valid for:
A dry cell has an e.m.f. of 1.5 V and an internal resistance of 0.05Ω. The maximum current obtainable from this cell for a very short time interval is(a) 30 A(b) 300 A(c) 3 A(d) 0.3 A
       
An e.m.f. of 12 volts is induced in a given coil when the current in it changes at the rate of 48 amperes per minute. The self inductance of the coil is(a) 0.25 henry(b) 15 henry(c) 1.5 henry(d) 9.6 henry
       
The square root of the product of inductance and capacitance has dimensions of.
The variation of magnetic susceptibility $(x)$ with magnetising field for a paramagnetic substance is
A light ray incident on a surface of refractive index $n$, which is separating this medium from air. The angle of incidence is $45^{\circ}$. For what value of $n$ can this ray have total internal reflection?
The photo-electrons emitted from a surface of sodium metal are such that         (a) They all are of the same frequency(b) They have the same kinetic energy(c) They have the same de Broglie wavelength(d) They have their speeds varying from zero to a certain maximum
 
 
 
 
When a hydrogen bomb explodes, which of the following is used?
If a current increases from zero to one ampere in 0.1 second in a coil of 5mH, then the magnitude of the induced e.m.f. will be.
The binding energy of a H-atom, considering an electron moving around a fixed nuclei (proton), is $\text{B}=-\frac{\text{me}^4}{8\text{n}^2\epsilon_0^2\text{h}^2}$. (m = electron mass).
If one decides to work in a frame of reference where the electron is at rest, the proton would be moving arround it. By similar arguments, the binding energy would be,
$\text{B}=-\frac{\text{me}^4}{8\text{n}^2\epsilon_0^2\text{h}^2}$ (M = proton mass)
This last expression is not correct because: