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

Q. 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

Q. A charged ball \(B\) hangs at equilibrium from a slik thread, \(S\), which makes an angle \(\theta\) with the line perpendicular to the plates as shown in figure. Plates are vertical. Plates carry equal and opposite charges with surface charge density \(\lambda\). Then \(\lambda\) is proportional to


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Q. A small charged particle of mass $m$ and charge $q$ is suspended by an insulated thread in front of a very large conducting charged sheet of uniform surface density of charge $\sigma$. The angle made by the thread with the vertical in equilibrium is

Q. (a) Use Gauss's theorem to find the electric field due to a uniformly charged infinitely large plane thin sheet with surface charge density $\sigma$ (b) An infinitely large thin plane sheet has a uniform surface charge density $+\sigma$ . Obtain the expression for the amount of work done in bringing a point charge q from infinity. to a point, distant r, in front of the charged plane sheet.

Q. In the figure shown there is a large sheet of charge of uniform surface charge density ${}^{\prime }{\sigma }^{\prime }$ A charge particle of charge ${}^{\prime }-q^{\prime }$ and mass ${}^{\prime }{m}^{\prime }$ is projected from a point A on the sheet with a speed ${}^{\prime }{u}^{\prime }$ with angle of projection such that it lands at maximum distance from $A$ on the sheet. Neglecting gravity, find the time of flight.