Question

A hemispherical network of radius $a$ is made by using a conducting wire of resistance per unit length $\lambda$. Calculate the equivalent resistance across $OP$.

Answer 1

$\frac{\pi \lambda a}{2}$

Answer 2

The equivalent resistance across $OP$ in a hemispherical network of radius $a$ with resistance per unit length $\lambda$ is given by the formula $\frac{\pi \lambda a}{2}$. This result is derived by considering the current distribution through the base circle and the meridional wires.