Look up the capacitance of a concentric spherical capacitor and then make the outer sphere radius infinitely large. To find a numerical answer, don't forget to convert the one food diameter to conventional SI units.arydberg said:Summary:: capacitance of a sphere
Could anyone tell me the capacitance of a one food diameter metal sphere. I know that this is a one terminal component but it still should have a capacitance. If a charge of Q is small and a 6 inch radius is drawn about the point then that 6 inch radius ( 12 in diameter ) should have a voltage associated with it. C = Q/V
Thanks
Thank youtech99 said:It may be handy to know that in the Centimetre-Gram-Second (cgs) system of units, the capacitance of a sphere is equal to its radius, and the unit of capacitance is the centimetre. By good fortune, a centimetre of capacitance is approximately equal to a picofarad. 1cm = 1.11pF. So the capacitance of a sphere is approximately equal to its radius in centimetres.
Right, and it's a quick way to come up with the capacitance of the sphere:arydberg said:Summary:: capacitance of a sphere
Could anyone tell me the capacitance of a one food diameter metal sphere. I know that this is a one terminal component but it still should have a capacitance. If a charge of Q is small and a 6 inch radius is drawn about the point then that 6 inch radius ( 12 in diameter ) should have a voltage associated with it. C = Q/V
Thanks
The formula for calculating the capacitance of a sphere is C = 4πε₀r, where C is the capacitance, ε₀ is the permittivity of free space, and r is the radius of the sphere.
The capacitance of a sphere is directly proportional to its radius. This means that as the radius increases, the capacitance also increases, and vice versa.
No, the capacitance of a sphere cannot be negative. It is a measure of the ability of a sphere to store electric charge, and therefore, it must always be a positive value.
The capacitance of a sphere is inversely proportional to the relative permittivity of the dielectric material surrounding it. This means that as the relative permittivity increases, the capacitance decreases, and vice versa.
The unit of capacitance for a sphere is farads (F), named after the English physicist Michael Faraday. It is equivalent to coulombs per volt (C/V) in the SI system of units.