MCQ
The electrostatic force between the metal plates of an isolated parallel capacitor C having a charge Q and area A is:
  • A
    independent of the distance between the plates
  • B
    inversely proportional to the distance between the plates
  • C
    proportional to the square root of the distance between the plates
  • D
    linearly proportional to the distance between the plates

Answer

(a) independent of the distance between the plates
Explanation: $F=Q E=Q \frac{\sigma}{2 \varepsilon_0}=Q \frac{Q}{2 A \varepsilon_0}=\frac{Q^2}{2 A \varepsilon_0}$
F is independent of the distance between 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

Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
A charged particle is whirled in a horizontal circle on a frictionless table by attaching it to a string fixed at one point. If a magnetic field is switched on in the vertical direction the tension in the string.
The combination of a convex lens ($f = 18 cm$) and a thin concave lens ($f = 9 cm$) is
In the shown arrangement of the experiment of the meter bridge if $AC$ corresponding to null deflection of galvanometer is $x$, what would be its value if the radius of the wire $AB$ is doubled
In potentiometer experiment when $K_1$ is closed balance length is $100\,cm$. Then what will be balancing length when $K_2$ is closed ................ $\mathrm{cm}$
Heavy stable nucle have more neutrons than protons. This is because of the fact that:
Two identical air filled parallel plate capacitors are charged to the same potential in the manner shown by closing the switch $S$. If now the switch $S$ is opened and the space between the plates is filled with a dielectric of relative permittivity $\varepsilon_r$ then:
A piece of wood from a recently cut tree shows $20\,decays$ per minute. A wooden piece of same size placed in a museum ( obtained from a tree cut many years back) shows $2\,decays$ per minute. If half life of $C^{14}$ is $5730\, years$, then age of the wooden piece placed in the museum is approximately ........... $years$
The momentum of an electron revolving in $n ^{\text {th }}$ orbit is given by: (Symbols have their usual meanings)
In the circuit shown : $E_1 = 4.0\  V, R_1 = 2 \ \Omega,$$ E_2 = 6.0\  V, R_2 = 4\  \Omega$ and $R_3 = 2\  \Omega.$ The current $I_1$ is : ................ $A$