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Properties of Charges

A conducting ...

Question

A conducting sphere of radius $10 c m$ has a charge $30 μ C$ . When this sphere is put in contact with other uncharge conducting sphere of radius $20 c m$ , then find the value of charge on both the sphere

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Solution

Potential will be same on their surfaces when they are in contact
$k (Q - q) / r_{1} = k q / r_{2}$
$(30 - q) / 10 = (q) / 20$
$60 - 2 q = q$
$q = 20 μ C$

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