- #1

- 5

- 0

Lets assume we have a resistor material, with a perfect solid spherical shape and no defect, we connect it from south pole to north pole, by using the general formula of R=(rho)L/A where rho is the resistivity and L is the length of the resistor, and A is the cross sectional area. I found that i cannot integrate it, because i get a Log negative. I realize that the problem is at the point of contact between the wire and the spherical resistor's cross sectional area is close to zero.

Those are my question:

i) How to solve such conflict?

ii) How to integrate such resistor if i connect the wire 90 degree instead of pole to pole(180 degrees). What is the L length of the resistor? will it be the circumference of the sphere?

iii) I found the same problem occur when i change the shape to cone shape.

I've enclose my working

Those are my question:

i) How to solve such conflict?

ii) How to integrate such resistor if i connect the wire 90 degree instead of pole to pole(180 degrees). What is the L length of the resistor? will it be the circumference of the sphere?

iii) I found the same problem occur when i change the shape to cone shape.

I've enclose my working