A point charge q = 1 is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge Q = 24 , distributed uniformly along its length, as shown in figure. Force between q and wire is N. (Use : 14 0 = 9 109 N m2/C2) [figure]
Electric Charges and Fields
Previous year questions with solutions · 2024 – 2026
Year-wise statistics questions · papers · average per paper · weightage
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 13 | 19 | 0.68 | 2.74% ▼ 35% vs last year |
| 2025 | 20 | 19 | 1.1 | 4.21% ▲ 1.1% vs last year |
| 2024 | 25 | 20 | 1.2 | 4.17% |
The electric field in a region is given by E = (2 i + 4 j + 6 k) 103 N/C. The flux of the field through a rectangular surface parallel to x–z plane is 6.0 Nm2C-1. The area of the surface is cm2.
A square loop of sides a=1 m is held normally in front of a point charge q=1 C at a distance a2. The flux of the electric field through the shaded region is 5p 1 0 N m2C, where the value of p is . [figure]
A positive ion A and a negative ion B has charges 6.67 10-19 C and 9.6 10-10 C, and masses 19.2 10-27 kg and 9 10-27 kg respectively. At an instant, the ions are separated by a certain distance r. At that instant the ratio of the magnitudes of electrostatic force to gravitational force is P 10-13, where the value of P is . (Take 14 0=9 109 Nm2C-2 and universal gravitational constant as 6.67 10-11 Nm2 kg-2 )
An electric field E = (2x i) NC-1 exists in space. A cube of side 2 m is placed in the space as per figure given below. The electric flux through the cube is Nm2/C. [figure]
An electric field, E = 2 i + 6 j + 8 k 6 passes through the surface of 4 m2 area having unit vector n = ( 2 i + j + k 6 ). The electric flux for that surface is V m.
If the net electric field at point P along Y axis is zero, then the ratio of | q2q3 | is 85 x, where x = . [figure]
Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point P is x 0. The value of x is (all quantities are measured in SI units). [figure]
The electric field at point P due to an electric dipole is E. The electric field at point R on equatorial line will be Ex. The value of x : [figure]
An infinite plane sheet of charge having uniform surface charge density + s C/m2 is placed on x-y plane. Another infinitely long line charge having uniform linear charge density + e C/m is placed at z=4 m plane and parallel to y-axis. If the magnitude values | s|=2| e| then at point (0,0,2), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is n:1. The value of n is .
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle with each other. When suspended in water the angle remains the same. If density of the material of the sphere is 1.5 g/cc, the dielectric constant of water will be . (Take density of water = 1 g/cc)
Suppose a uniformly charged wall provides a uniform electric field of 2 104 N/C normally. A charged particle of mass 2 g being suspended through a silk thread of length 20 cm and remain stayed at a distance of 10 cm from the wall. Then the charge on the particle will be 1 x μC where x= . [use g=10 m/s2]
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 37 with each other. When suspended in a liquid of density 0.7 g/cm3, the angle remains same. If density of material of the sphere is 1.4 g/cm3, the dielectric constant of the liquid is ( 37 = 34 )
An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density + . The electron at t=0 is at a distance of 1 m from S and has a speed of 1 m/s. The maximum value of if the electron strikes S at t=1 s is [ m 0e ] Cm2, the value of is .
A thin metallic wire having cross sectional area of 10-4 m2 is used to make a ring of radius 30 cm. A positive charge of 2 C is uniformly distributed over the ring, while another positive charge of 30 pC is kept at the centre of the ring. The tension in the ring is N; provided that the ring does not get deformed (neglect the influence of gravity). (given, 14 0 = 9 109 SI units)
Two charges of -4 and +4 are placed at the points A(1, 0, 4) m and B(2, -1, 5) m located in an electric field E=0.20 i V/cm. The magnitude of the torque acting on the dipole is 8 10-5 Nm, where = .