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CBSE Class 12-science Answered

there are two sphere having same charge q and radii R and 2R. what will be the charge on each sphere if both are connected and then separated?
Asked by parikhm769 | 07 Nov, 2019, 11:41: AM
answered-by-expert Expert Answer
When two spheres are connected by wire, both spheres will have common potential.
 
Let q1 be the charge on sphere of radius R . Let q2 be the charge on sphere of radius 2R .
 
Potential of sphere of radius R having charge q1 =  q1 / [ 4π εo R ]
 
Potential of sphere of radius 2R having charge q2 =  q2 / [ 4π εo (2R) ]
 
q1 / [ 4π εo R ] = q2 / [ 4π εo (2R) ]
 
hence,  2q1 = q2....................(1)
 
Initially, before connecting the spheres by wire, each sphere was holding charge q .
 
Hence q1 + q2 = 2q  ................(2)
 
by solving eqn. (1) and (2), we get q2 = (4/3)q  and q1 = (2/3)q
Answered by Thiyagarajan K | 07 Nov, 2019, 11:54: PM

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