Two isolated conducting spheres $$S1$$ and $$S2$$ of radius $$23R$$ and $$13R$$ have $$12$$ μC and −$$3$$ μC charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on $$S1$$ and $$S2$$ are respectively :

Question

Two isolated conducting spheres $$S1$$ and $$S2$$  of radius $$23R$$  and  $$13R$$ have  $$12$$   μC and  −$$3$$   μC charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on  $$S1$$ and  $$S2$$ are respectively :

Infinity Learn · Accepted Answer

After connected, Both spheres are at same potential.$$q1C1=q2C2Capacitance$$ of sphere, C∝RTotal $$charge=Q=q1+q2Let$$ say $$q1$$ $$=q$$, then $$q2=$$ $$Q-q1=12-3-q$$⇒$$q2=(12-3)-q1$$⇒$$q=18-2q$$⇒$$q=6Hence$$, $$q1$$ $$=q$$ $$=6$$μ$$Cq2=$$ $$Q-q1=12-3-q=9-6=3$$μC

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Two isolated conducting spheres S1 and S2 of radius 23R and 13R have 12 μC and −3 μC charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S1 and S2 are respectively :

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