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Two isolated metal spheres A & B have ra...

Two isolated metal spheres A & B have radii R & 2R respectively and same charge q. find which of the two spheres have greater energy density just outside the surface of the sphere.

Text Solution

Verified by Experts

Energy density `U=(1)/(2) epsi_(0)E_(2)`
But `E=(sigma)/(epsi_(0))=(Q)/(Aepsi_(0))`
`:. U=(1)/(2)*(epsi_(0)Q_(2))/(A^(2)epsi_(0)) rArr U=(Q_(2))/(2A^(2))`
`U prop (1)/(A^(2)) rArr U_(A) gt U_(B)`
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