Question

If the wire has resistivity $\rho$, find the resistance between $A$ and $B$.

Answer 1

If the side length is a Then,

Resistance across EF and HG are short circuited. (Refer image 1)

So,

circuit -$\iff$ (Refer image -2)

We have taken $R=\frac{pa}{2A}$ [A is the cross-sectional area]

Resistance across (AE and AH) and (BF and BG) are in parallel combination. So, A

Circuit -1 $\iff$ (Refer image(3)-

Circuit- 1 $\iff$ (Refer image (4)-

So, the Resistance across A and B is $R(=\frac{pa}{2A})$