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As shown in figure, a cuboid lies in a region with electric field 𝑬=𝟐𝒙2𝒊̂−4𝒚𝒋̂+6𝒌̂ N/C. The magnitude of charge within the cuboid is 𝒏∈0 C. The value of 𝒏 is _____ (if dimension of cuboid is 1 × 2 × 3 m3) (2023 Main) A cuboid of dimension 𝟐𝑳 𝒙 𝟐𝑳 𝒙 𝑳. A charge 𝒒 is placed at centre of surface 𝑺 with area 𝟒𝑳2. Flux through opposite side is? (2023 Main) A point charge 𝒒1 = 4𝒒0 is placed at origin. Another point charge 𝒒2 =-𝒒0 is placed at 𝒙 = 12 cm. Charge of proton is 𝒒0. The proton is placed on 𝒙-axis so that the electrostatic force on the proton in zero. In this situation, the position of the proton from the origin is _____ cm. (2023 Main) A point charge 2×10−2 C is moved from 𝑷 to 𝑺 in a uniform electric field of 30 NC−1 directed along positive 𝒙-axis. If coordinates of 𝑷 and 𝑺 are (1,2,0) m and (0,0,0) m respectively, the work done by electric field will be (2023 Main) For a charged spherical ball, electrostatic potential inside the ball varies with 𝒓 as 𝑽 = 2𝒂𝒓2 + 𝒃. Here, 𝒂 and 𝒃 are constant and 𝒓 is the distance from the center. The volume charge density inside the ball is –𝝀𝒂𝜺 . The value of 𝝀 is ________. 𝜺 = permittivity of medium. (2023 Main) A parallel plate capacitor has plate area 40 cm2 and plates separation 2mm. The space between the plates is filled with a dielectric medium of a thickness 1 mm and dielectric constant 5. The capacitance of the system is: (2023 Main) A point charge of 10𝜇C is placed at the origin. At what location on the 𝑿-axis should a point charge of 40𝜇C be placed so that the net electric field is zero at 𝒙=2 cm on the 𝑿-axis? (2023 Main) A capacitor has capacitance 5μF when its parallel plates are separated by air medium of thickness 𝒅. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness 𝒅/𝟐 is inserted between the plates. Capacitance of the capacitor in the presence of slab will be _____μF. (2023 Main) If two charges 𝒒1 and 𝒒2 are separated with distance '𝒅′ and placed in a medium of dielectric constant 𝑲. What will be the equivalent distance between charges in air for the same electrostatic force? (2023 Main) The electric potential at the centre of two concentric half rings of radii 𝑹1 and 𝑹2, having same linear charge density 𝝀 is (2023 Main) A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes 𝒙/𝟒 pF. The value of 𝒙 is __. (2023 Main) IIT JEE Mains and Advanced PYQ: ELECTROSTATICS #neet #jeemain #jeeadvance #physicsIIT