Given the potential function in free space to be $$V\left( x \right) = \left( {50{x^2} + 50{y^2} + 50{z^2}} \right)$$ volts, the magnitude (in volts /metre) and the direction of the electric field at a point $$\left( {1,\,\, - 1,\,\,1} \right),$$ where the dimensions are in metres, are

The capacitance of an isolated sphere of radius 10 cm in air is equal to _____ pF.

The capacitance of the arrangement shown in Fig. is ................... $$pF$$