Questions in electrostatics

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A metallic sphere has a charge of $10\mu C$. A unit negative charge is brought from $A$ to $B$ both $100\,cm$ away from the sphere but A being east of it while $B$ being on west. The net work done is
Two charges $+ 4e$ and $+ e$ are at a distance $x$ apart. At what distance, a charge $q$ must be placed from charge $+ e$ so that it is in equilibrium
An uncharged sphere of metal is placed in between two charged plates as shown. The lines of force look like
The intensity of electric field required to balance a proton of mass $1.7 \times {10^{ - 27}}kg$ and charge$1.6 \times {10^{ - 19}}C$ is nearly
On rotating a point charge having a charge q around a charge Q in a circle of radius r. The work done will be
Two point charges $Q$ and $-3Q$ are placed at some distance apart. If the electric field at the location of $Q$ is $E$ then at the locality of $- 3Q$, it is
The number of electrons to be put on a spherical conductor of radius$0.1\,m$to produce an electric field of $0.036N/C$ just above its surface is
Two plates are $2\,cm$ apart, a potential difference of $10\;volt$ is applied between them, the electric field between the plates is
The intensity of the electric field required to keep a water drop of radius ${10^{ - 5}}cm$ just suspended in air when charged with one electron is approximately $(g = 10\,newton/kg,\,e = 1.6 \times {10^{ - 19}}coulomb)$
Conduction electrons are almost uniformly distributed within a conducting plate. When placed in an electrostatic field $\overrightarrow E $, the electric field within the plate

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