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Electric Charges And Fields

Question
CBSEENPH12039223
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A charge ‘q’ is placed at the centre of a cube of side l. What is the electric flux passing through each face of the cube? 

Solution

Using Gauss theorem,
straight ϕ space equals space integral straight E with rightwards harpoon with barb upwards on top. ds with rightwards arrow on top space equals space straight q over straight epsilon subscript straight o Total space flux space through space all space faces comma space straight ϕ space apostrophe space equals space 6 space straight ϕ space So comma 6 space straight ϕ space space equals space straight q over straight epsilon subscript straight o space rightwards double arrow straight ϕ space space equals space fraction numerator straight q over denominator 6 space straight epsilon subscript straight o end fraction

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point? 

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