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AIIMS 2001
Exam
AIIMS
Year
2001
Subject
Physics
Chapter
Electrostatics

AIIMS 2001 · Physics · Electrostatics

A charge is placed at the centre of cube of side a then flux linked...

A charge is placed at the centre of cube of side aa then flux linked with one of its given faces will be

Options

  1. AQε0\frac{Q}{\varepsilon_0}
  2. BQ6ε0\frac{Q}{6 \varepsilon_0}
  3. CQε0a2\frac{Q}{\varepsilon_0 a^2}
  4. DQ4πε0a2\frac{Q}{4 \pi \varepsilon_0 a^2}.

Correct answer

B. Q6ε0\frac{Q}{6 \varepsilon_0}

Step-by-step solution

Gauss's law tells that the total flux through an area enclosing a charge QQ is Qε0\frac{Q}{\varepsilon_0}. Now as the cube is having six faces and as we can assume a symmetrical distribution of fluxes among its faces, the flux associated with one of its faces is Q6ε0\frac{Q}{6 \varepsilon_0}.
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