Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Electrostatics

BITSAT 2020 · Physics · Electrostatics

A charge +q is at a distance L / 2 above a square of side L . Then...

A charge +q+q is at a distance L/2L / 2 above a square of side L\mathrm{L}. Then what is the flux linked with the surface?A charge +q is at a distance L / 2 above a square of side L . Then what is the flux linked with the surface?

Options

  1. Aq4ε0\frac{\mathrm{q}}{4 \varepsilon_{0}}
  2. B2q3ε0\frac{2 q}{3 \varepsilon_{0}}
  3. Cq6ε0\frac{\mathrm{q}}{6 \varepsilon_{0}}
  4. D6qε0\frac{6 \mathrm{q}}{\varepsilon_{0}}

Correct answer

C. q6ε0\frac{\mathrm{q}}{6 \varepsilon_{0}}

Step-by-step solution

A charge +q is at a distance L / 2 above a square of side L . Then what is the flux linked with the surface?
m{L} The given square of side LL may be considered as one of the faces of a cube with edge LL. Then given charge q will be considered to be placed at the centre of the cube. Then according to Gauss's theorem, the magnitude of the electric flux through the faces (six) of the cube is given by ϕ=q/ε0\phi=\mathrm{q} / \varepsilon_{0} Hence, electric flux through one face of the cube for the given square will be ϕ′=16ϕ=q6ε0\phi^{\prime}=\frac{1}{6} \phi=\frac{\mathrm{q}}{6 \varepsilon_{0}}
Practice Electrostatics on Quantrex Academy →

More from Electrostatics

An oil drop of radius 1 μ m is held stationary under a constant electric field of 3.65 ×… BITSAT 2024The potential of a large liquid drop when eight liquid drops are combined is 20 V , then… BITSAT 2024A dust particle of mass 4 × 10^ -12 mg in suspended in air under the influence of an… BITSAT 2024Electric field at point (30,30,0) due to a charge of 0.008 μ C placed at origin will be… BITSAT 2024If two charges q_1 and q_2 are separated with distance ' d ' and placed in a medium of… BITSAT 2024Electric potential at a point 'P' due to a point charge of 5 × 10^ -9 C is 50 V. The… BITSAT 2024Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in the figure, The electric… BITSAT 2024In a cuboid of dimension 2 L × 2 L × L , a charge q is placed at the centre of the… BITSAT 2023 Full Electrostatics list All BITSAT PYQs