The electric field in a region of space varies as E=(xhati+2yhatj)+3zhatk) V/m (a). Consider an elemental cuboid whose one vertex is at (x,y,z) and the three sides are dx, dy and dz, sides being parallel to the three co-ordinate axes. Calculate the flux of electric field through the cube. (b). Usig the expression obtained in (a) find the charge enclosed by a spherical surface of radius r, centred at the origin.

The electric field in a region of space varies as E=(xhati+2yhatj)+3zh

1.	The electric field in a region of space varies as E=(xhati+2yhatj)+3zhatk) V/m (a). Consider an elemental cuboid whose one vertex is at (x,y,z) and the three sides are dx, dy and dz, sides being parallel to the three co-ordinate axes. Calculate the flux of electric field through the cube. (b). Usig the expression obtained in (a) find the charge enclosed by a spherical surface of radius r, centred at the origin.
Answer» ANSWER :(a). `6dxdydz` (B). `8epsilon_(0)PIR^(3)`

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