69.An infinite sheet of width d is lying in a horizontal plane . A point charge q is kept at a perpendicular sepration of d/2 from the centre of the sheet. Electric flux due to this point charge q passing through the given sheet is

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A large plane charge sheet having surface charge density $σ = 2.0 \times 10^{- 6} C m^{- 2}$ lies in the x-y plane. Find the flux of the electric field through a circular area of radius $1 c m$ lying completely in the region where x, y, z are all positive and with its normal making an angle of $60^{\circ}$ with the z-axis. (Given that the field due to infinite charged sheet is $\frac{σ}{2 ϵ_{0}}$ where $σ$ = surface charge density. Also note that it is perpendicular to the sheet and is constant for all points from the sheet.)

Electric field intensity at a point due to an infinite sheet of charge having surface charge density $σ$ is $E$ . If the sheet were conducting, electric intensity would be

Q. Write the statement of Gauss' law for electrostatics.
Draw a diagram and derive an expression for electric field due to a uniformly charged infinite plane sheet at a point near the sheet.
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σ

(b) An infinitely large thin plane sheet has a uniform surface charge density

+ σ

. 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.

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