Hello Forum,

I have two questions to pose:

1) for a metallic object, it depends on its shape. If I had a sphere of surface area A1, its capacitance C1, in cgs, is equal to its radius R.
If I could change the shape of the sphere, while maintaining the same
surface area, A2=A1, what shape would I turn the sphere into to
increase its capacitance C2? Would I want to create spacing, corners?

A single conductor has its own capacitance which is the ability, for a
given voltage difference applied to it, to store electric charge. The
fact that we always see two conductors is because the presence of the
second conductor makes the capacitance of the first conductor
increase. Is that correct?
What if we had a parallel plate capacitor made of two plates with
different surface area :A1>A2.
Would the capacitor have the same, bigger, smaller capacitance than
the case where A1=A2?

2) Inductance: for what I know, inductance is a geometrical factor too
that L expresses amount of the resistance (reactance) to time
changes in current. The faster the current change and the bigger L,
the bigger the resistance (reactance).

How can we have an inductor with infinite inductance?
What does it mean "zero reluctance to the magnetic flux"?


Thanks
Antennaboy

 

It seems like you're trying to ask a lot of questions at once, I'd start here tho

http://www.allaboutcircuits.com/vol_1/chpt_13/1.html

 

...
A single conductor has its own capacitance which is the ability, for a
given voltage difference applied to it, to store electric charge.

For a SINGLE conductor, what are you measuring the voltage DIFFERENCE to?
Something of a paradox here...

You cannot have a Difference without two points of reference.

 

The other point is at infinity where V(infinity)=0.....

 

You're both right -

There are two somewhat different applications of the term "voltage". From a practical point of view, voltage is what is measured when voltmeter probes are stuck into a circuit to measure the voltage difference between two points.

But then there is the physicists point of view, where voltage is the energy necessary to bring a charge from an infinite distance to some point in space which may be in some electric field. This is called electric or electrostatic potential, but it is measured in the same volts that are measured in a circuit.

I would guess that the sphere would present the greatest capacitance, because any deviation from the sphere would require that the remaining material would have to be of a shape that would approximate a sphere of less diameter.