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Electrostatics question

2003 · Q142
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Electrostatics question

2003 · Q142

NEETPhysicsElectrostaticsMCQ+4 / −1
A charge q is located at the centre of a cube. The electric flux through any face is
  1. A
    2πq6(4πε0){{2\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}6(4πε0​)2πq​
  2. B
    4πq6(4πε0){{4\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}6(4πε0​)4πq​
  3. C
    πq6(4πε0){{\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}6(4πε0​)πq​
  4. D
    q6(4πε0){q \over {6\left( {4\pi {\varepsilon _0}} \right)}}6(4πε0​)q​
View written solutionFree

Correct answer: B

The total flux through the cube ϕtotal=qε0{\phi _{total}} = {q \over {{\varepsilon _0}}}ϕtotal​=ε0​q​

∴\therefore∴ The electric flux through any face
ϕface=q6ε0=4πq6(4πε0){\phi _{face}} = {q \over {6{\varepsilon _0}}} = {{4\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}ϕface​=6ε0​q​=6(4πε0​)4πq​

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