CBSE Class 12-science Answered
Two charge conducting spheres of radius 'R' and '2R' firet placed in contact and then seperated . At the surface of the sphere of each which sphere has the greater value of CHARGE , POTENTIAL , ENERGY STORED ?
Asked by pardeepkumar2281 | 22 May, 2018, 09:13: PM
Expert Answer
Let us assume, once two spheres are placed in contact both the surfaces of spheres getting uniform charge density.
Hence after separation the sphere whose radius is 2R having more surface area and more charge.
If total charge on sphere whose radius is R is q , then total charge on sphere whose radius is 2R is 4q, because the large sphere has 4 times of area of small sphere.
Potential V1 of sphere that has radius R is given by,
Potential V2 of sphere that has radius 2R is given by,
Stored Energy in sphere = , where C is capacitance and V is potential. Capacitance of sphere of radius R is 4πε0R.
Since capacitance is directly proportional to radius and large sphere potential is twice that of large sphere, large sphere has stored energy 8 times compare to the stored energy in small sphere.
Answered by Thiyagarajan K | 19 Jun, 2018, 04:13: PM
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