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What will be the total flux through the faces of the cube as in figure with side of length a if a charge q is placed at ? (a) A: a corner of the cube. (b) B : midpoint of an edge of the cube. (c) C: centre of a face of the cube. (d) D : midpoint of B and C. |
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Answer» Solution :(a) Cube has 8 corners. Charge on each corner: `=q/(8 XX 1) = q/8` `THEREFORE` ELECTRIC flux at A. `phi = q/(8epsilon_(0))` (b) If the charge q is placed at B, middle point of an edge of the cube, it is being shared equally by 4 cubes. Flux through each cube, `phi = phi^(.)/4 = q/(4epsilon_(0))` (c) If the charge q is placed at C, the centre of a face of the cube, it is being shared equally by 2 cubes. `therefore`Flux through each cube, `phi = phi^(.)/epsilon_(0) = q/(2epsilon_(0))` (d) Finally, if charge q is placed at D, the MIDPOINT of B and C, it is being shared equally by 2 cubes. `therefore`Flux through each cube, `phi = phi^(.)/epsilon_(0) = q/(2epsilon_(0))` |
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