Resistance of a Conical Conductor

Question

A conductor in the shape of a cone has height $$h$$, base radius $$r$$, and uniform resistivity $$\rho$$. The apex of the cone is maintained at a potential $$V_0$$, and the circular base is grounded. What is the total resistance between the apex and the base?

Accepted Answer

$$\dfrac{\rho h}{\pi r_1 r_2}$$ (with $$r_1 \rightarrow 0$$ so resistance diverges)

Answer

$$\dfrac{2 \rho h}{\pi r^2}$$

Answer

$$\dfrac{\rho h}{\pi r^2}$$

Answer

$$\dfrac{\rho h}{3\pi r^2}$$

Resistance of a Conical Conductor

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