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  • What will be the total flux through the faces of the cube (Fig. 1.9) with side of length a if a charge q is placed at

What will be the total flux through the faces of the cube (Fig. 1.9) with a side of length an if a charge q is placed at

(a) A: a corner of the cube.
(b) B: mid-point of an edge of the cube.
(c) C: centre of the face of the cube.
(d) D: mid-point of B and C.

Answers (1)

a) The charge is equally distributed amongst the 8 cubes of a divided cube with sides 2a when the charge is placed at the centre of the large cube. Therefore, the total flux through the faces of the cube= \frac{q}{8\varepsilon _0}


b) If the charge is placed at B, it is equally distributed amongst the 4 cubes. Hence, the total flux through the four faces is  = \frac{q}{4\varepsilon _0}


c) If the charge is placed at C, then the charge is share by 2 cubes equally, therefore the total flux will be= \frac{q}{2\varepsilon _0}

d) If the charge is placed at D, it is distributed amongst two cubes and therefore, the flux through them will be= \frac{q}{2\varepsilon _0}

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