MCQ
Two infinitely long parallel conducting plates having surface charge densities $ + \sigma $ and $ - \sigma $ respectively, are separated by a small distance. The medium between the plates is vacuum. If ${\varepsilon _0}$ is the dielectric permittivity of vacuum, then the electric field in the region between the plates is
  • A
    $0\,volts/meter$
  • B
    $\frac{\sigma }{{2{\varepsilon _o}}} volts/meter$
  • $\frac{\sigma }{{{\varepsilon _o}}} volts/meter$
  • D
    $\frac{{2\sigma }}{{{\varepsilon _o}}} volts/meter$

Answer

Correct option: C.
$\frac{\sigma }{{{\varepsilon _o}}} volts/meter$
c
(c) Electric field between the plates is
$ = \frac{\sigma }{{2{\varepsilon _0}}} - \frac{{( - \sigma )}}{{2{\varepsilon _0}}}$
$ = \frac{\sigma }{{{\varepsilon _0}}}\,volt/meter$

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

If at same temperature and pressure, the densities for two diatomic gases are respectively ${d_1}$ and ${d_2}$, then the ratio of velocities of sound in these gases will be
A bullet moving with a velocity of $200 \,cm/s$ penetrates a wooden block and comes to rest after traversing $4 \,cm$ inside it. What velocity is needed for travelling distance of $9 \,cm$ in same block..........$cm/s$
Out of the following:
A. pole
B. focus
C. the radius of curvature and
D. principal axis for a spherical mirror, the quantities that do not depend on whether the rays are paraxial or not, are
Two satellites of mass $50\,kg$ and $100\,kg$ revolve around the earth in circular orbit of radius $9\,R$ and $16\,R$ respectively, where $R$ is the radius of earth. The speeds of the two satellites will be in the ratio
Which of the following does not give stable product with water
Power dissipated across the $8 \,\,\Omega$ resistor in the circuit shown here is $2\,\, watt.$ The power dissipated in watt units across the $3 \,\,\Omega$ resistor is 
Masses of two substances are $1\, g$ and $9\, g$ respectively. If their kinetic energies are same, then the ratio of their momentum will be
What is the radius of iodine atom (at. no. $53$, mass number $126$)
Two rods, one made of copper and the other steel of the same length and cross-sectional area are joined together. The thermal conductivity of copper is $385 \,Js ^{-1} m ^{-1} K ^{-1}$ and steel is $50 \,Js ^{-1} m ^{-1} K ^{-1}$. If the copper end is held at $100^{\circ} C$ and the steel end is held at $0^{\circ} C$, the junction temperature is ........... $C$ (Assuming no other heat losses)
A satellite is revolving round the earth with orbital speed $v_0$. If it stops suddenly, the speed with which it will strike the surface of earth would be : ($v_e =$ escape velocity of a particle on earth's surface)