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Which one is the correct expression of electric flux?(a) ∫ \(\vec{E}.d\vec{s}\)(b) ∫ \(\vec{E^2}.d\vec{s}\)(c) ∫ \(\vec{E}^{-1}.d\vec{s}\)(d) ∫ \(\vec{E}.d\vec{l}\)I had been asked this question by my college professor while I was bunking the class.My question comes from Electric Flux topic in section Charges and Fields of Physics – Class 12

Answer»

The correct ANSWER is (a) ∫ \(\vec{E}.d\vec{s}\)

EXPLANATION: Electric flux is defined as the number of field lines CROSSING PERPENDICULARLY through a surface area. The number of electric field lines crossing through the unit cross-section area is known as electric field intensity (E). Therefore field lines crossing through small area ds are E.ds. Taking the integral gives the flux in the entire surface.



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