Two particles \( A \) and \( B \) having charges \( q \) and \( 2 q \) respectively are placed o...

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Two particles \( A \) and \( B \) having charges \( q \) and \( 2 q \) respectively are placed on a smooth table with a separation \( d \). A third particle \( C \) is to be clamped on the table in such a way that the particles \( A \) and \( B \) remain at rest on the table under electrical forces. What should be the charge on \( C \) and where should it be clamped?
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