91Ó°ÊÓ

Now, we know the formula

$R=\frac{\mathrm{ÒÏ}L}{A}$

Substitute the given values

Therefore, the ohmmeter reading if the ohmmeter is connected between the opposite faces is

Let us assume a thin cylindrical shell of length L, radius r, and thickness dr(the outer radius is approximately equal to inner radius)

We know, the current moves radially, so, the current moves along a distance L = dr and through a cross-sectional area .

Now, the resistance of this conductor is

The current that flows radially from , the resistance is

Use the formula found above,

$R=\frac{\mathrm{ÒÏ}}{2\mathrm{Ï€³¢}}\ln \left(\frac{r_{out}}{r_{in}}\right)$

Substitute the given values

Therefore, when the ohmmeter is placed between the inner and outer surfaces, the ohmmeter reading is found to be