Govt. Exams
Similar to projectile motion, a charged particle in a perpendicular electric field experiences constant acceleration, resulting in a parabolic trajectory.
Electric potential V = kQ/r is inversely proportional to distance. If r → 2r, then V → V/2.
In a non-uniform electric field, a dipole experiences both: (1) a torque due to the field trying to align it, and (2) a net force because the fields at the two ends are different.
For an infinite uniformly charged plane sheet, using Gauss's law with a cylindrical Gaussian surface, the electric field is E = σ/(2ε₀), independent of distance from the sheet.
Electric force is conservative. Work done in reverse path = negative of original work. W(B→A) = -100 J
Torque τ = pE sin(θ). Maximum when sin(θ) = 1, i.e., θ = 90°
Surface potential V = kQ/R. If charge becomes Q/2, then V becomes kQ/(2R), which is half the original.
Horizontal velocity constant, vertical acceleration due to E-field. Motion similar to projectile motion, hence parabolic.
By Gauss's law, flux = Q/ε₀, independent of surface shape. Only the enclosed charge matters.
For an infinite uniformly charged plane sheet, using Gauss's law with a cylindrical Gaussian surface, E = σ/(2ε₀), independent of distance.
