Questions in electrostatics

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An electron experiences a force equal to its weight when placed in an electric field. The intensity of the field will be
The dielectric strength of air at NTP is $3 \times {10^6}\,V/m$then the maximum charge that can be given to a spherical conductor of radius 3 m is
As per this diagram a point charge $+ q$ is placed at the origin $O$. Work done in taking another point charge $- Q$from the point $A$ [co-ordinates $(0,\,a)$] to another point B [co-ordinates (a, 0)] along the straight path $AB$ is
To charges ${q_1}$ and ${q_2}$ are placed $30\,\,cm$ apart, shown in the figure. A third charge ${q_3}$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to D. The change in the potential energy of the system is $\frac{{{q_3}}}{{4\pi {\varepsilon _0}}}k$, where $k$ is
A charged ball B hangs from a silk thread S, which makes an angle $\theta $ with a large charged conducting sheet $P$, as shown in the figure. The surface charge density $\sigma $ of the sheet is proportional to
Two point charges +8q and $- 2q$ are located at $x = 0$ and $x = L$ respectively. The location of a point on the x-axis at which the net electric field due to these two point charges is zero is
Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are $+ q$ and $- q$. The potential difference between the centres of the two rings is
Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is
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
Four point +ve charges of same magnitude (Q) are placed at four corners of a rigid square frame as shown in figure. The plane of the frame is perpendicular to $\rlap{--} Z$ axis. If a –ve point charge is placed at a distance z away from the above frame (z<

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