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  4. Two identical charged particles each having a mass 10 g and charge 2.0 × 10-7 C area placed on a horizontal table with a separation of L between then such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g =10 ms -2 ]

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Q. Two identical charged particles each having a mass $10\, g$ and charge $2.0 \times 10^{-7} C$ area placed on a horizontal table with a separation of $L$ between then such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is $0.25$, find the value of $L$. [Use $g =10\, ms ^{-2}$ ]

JEE MainJEE Main 2022Electric Charges and Fields

Solution:

$\frac{ kq ^{2}}{ L ^{2}}=\mu mg \Rightarrow L =\sqrt{\frac{ k }{\mu mg } q }$