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An electric charge q is placed at one of the corner points of a cube of side a. What will be the net outwards flux coming out of the cube due to the point charge?(a) \(\frac {q}{\varepsilon_o}\)(b) \(\frac {q}{2\varepsilon_o}\)(c) \(\frac {q}{4\varepsilon_o}\)(d) \(\frac {q}{8\varepsilon_o}\)The question was asked by my school principal while I was bunking the class.This key question is from Gauss’s Law topic in portion Charges and Fields of Physics – Class 12

Answer»

The correct CHOICE is (d) \(\frac {q}{8\varepsilon_o}\)

To explain: We can assume 8 imaginary cubes, all of side a placed together, sharing a common CORNER point and forming a bigger cube of side 2A. The point charge is placed at the common point of the cubes. ACCORDING to Gauss’s Law, net electric flux coming out of the bigger cube=\(\frac {q}{\varepsilon_o}\). THEREFORE, flux coming out from each of the smaller cubes i.e. cubes of side a is \(\frac {q}{8\varepsilon_o}\).



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