Question

The radius of spherical conductor of 1 microfarad capacitance will be

Answer 1

Answer:

A spherical capacitor has two radii: an inner radius and an outer radius. The capacitance of such a device is

[4*pi*epsilon-nought] / (1/a - 1/b),

where "a" is the inner radius and "b" the outer radius.

We can regard an isolated charged sphere by taking the limit as "b" goes to infinity. Perhaps that's what meant here...so that

C = 4*pi*epsilon-nought*a,

where "a" is the radius of the (only) sphere.

Now substitute in C = 1 x 10^(-6) farad and

epsilon-nought = 8.854 x 10^(-12) farad/meter,

so your answer for "a" would be about 10 kilometers.

That seems not to make a lot of sense in a practical way,

so I may be misinterpreting the problem