# Two metallic spheres of radii R and 2R charged so that both of these have same surface charge density sigma. If they are connected to each other with a conducting wire, in which direction will the charge flow and why?

$potentialatradiusofsphereRV=\frac{k\left(4{\mathrm{\pi R}}^{2}\right)\sigma}{R}=k\left(4\mathrm{\pi R}\right)\sigma \phantom{\rule{0ex}{0ex}}potentialatradiusofsphere2RV\text{'}=\frac{k\left(16{\mathrm{\pi R}}^{2}\right)\sigma}{2R}=k\left(8\mathrm{\pi R}\right)\sigma \phantom{\rule{0ex}{0ex}}V\text{'}=2V\phantom{\rule{0ex}{0ex}}hencethechargflowfromthehigherpotentialtolowerpotentialfromtheradiusof2RtoradiusR.\phantom{\rule{0ex}{0ex}}Regards$

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