There are two spheres having same charge q radii R and 2R.what will be the charge on each sphere if connected and then seprated ?
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Let the initial charges on spheres with radius R = q
Let the initial charges on spheres with radius R2 = q2
Since, the charge surface charge density of both the spheres is same -
= q1/4πr² = q2/4π(2r)²
= 4q1 =q2
Total charge = 5q2
Let the charges now on each sphere be Q1 and Q2 respectively
=> kQ1/R = kQ2/2R
=> 2Q1 =Q2
Total charge = Q1+ Q2 = 3Q2
Since, the total charge is conserved
= 5q1 =3Q2 = 3(2Q1) =6Q1
= Q1 = 5q1/6
Final charge density
= kQ1/R
= 5kq1/6R
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