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Question

Sir how to solve? My main problem is how is current flowing between the spheres? Is all the current coming out from one sphere going to the other sphere? Sir can you show with a diagram where exactly all the current is going? Thank you sir.

Joshi sir comment

Current comes out from the surface of one sphere symmetrically

and enters to the surface of other symmetrically.

Resistance of the medium around one sphere is

$\int_{r}^{\infty} \frac{ρ d x}{4 π x^{2}} = \frac{ρ}{4 π} [- \frac{1}{x}] o n p u t t i n g l i m i t s r e s i s \tan c e a r o u n d o n e s p h e r e = k \frac{1}{r} s i m i l a r f o r o t h e r s p h e r e s o n e t R_{1} = 2 \frac{k}{r} I n s e c o n d c a s e r a d i u s o f o n e s p h e r e i s h a l f m e a n s r / 2 T h u s R_{2} = \frac{k}{r} + \frac{k}{r / 2} = 3 \frac{k}{r} n o w f o r s a m e b a t t e r y i_{1} R_{1} = i_{2} R_{2} s o l v e a n d w a i t f o r v i d e o$

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