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A charge q is located at the centre of a...

A charge `q` is located at the centre of a cube. The electric flux through any face is

A

`(piq)/(6(4pi epsilon_(0)))`

B

`(q)/(6(4pi epsilon_(0)))`

C

`(2pi q)/(6(4pi epsilon_(0)))`

D

`(4pi q)/(6(4pi epsilon_(0)))`

Text Solution

Verified by Experts

The correct Answer is:
D
From Gauss' law , `phi=(q)/(epsilon_(0))`
This is the net flux coming out of the cube. Since, a cube has 6 sides so electric flux through any face is
`phi'=(phi)/(6)=(q)/(6epsilon_(0))=(4piq)/(6(pi epsilon_(0))`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ELECTROSTATICS-PRACTICE EXERCISE (Exercise 1 (TOPICAL PROBLEMS))
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  2. A hollow cylinder has a charge q C within it. It phi is the electric ...

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  3. A charge q is located at the centre of a cube. The electric flux throu...

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  4. A spherical conductor of radius 2 cm is uniformly charged with 3 nC. W...

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  5. Five charges q(!),q(2),q(3),q(4) and q(5) are fixed at their positions...

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  6. Shown below is a distribution of charges. The flux of electric field d...

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  7. Two electric dipoles of moment P and 64P are placed in opposite direct...

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  8. The electric flux of Gaussian surface A that encloses that charged par...

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  9. Figure shows the portions of the infinite parallel non-conducting shee...

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  10. The electric flux through a chlosed surface area S enclosing charge Q ...

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  11. For a given surface the Gauss's law is stated asoint vecE.dvecA=0. Fro...

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  12. Electric charge is uniformly distributed along a along straight wire o...

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  13. The inward and outward electric flux for a closed surface unit of N-m^...

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  14. The electric charges are distributed in a small volume. The flux of th...

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  15. If the electric field given by (5hat(i)+4hat(j)+9hat(k)), then the ele...

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  16. Two capacitors having capacitances C(1) and C(2) are charged with 120 ...

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  17. A parallel plate capacitor is charged and then isolated. The effect of...

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  18. Conducting sphere of radius R(1) is covered by concentric sphere of ra...

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  19. The amount of work done in increasing the voltage across the plates of...

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  20. A parallel-plate capacitor is connected to a battery. A metal sheet of...

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