A charge Q is divided into two parts of q and Q - q . If coulomb repulsion between them when they ar

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1. Electric Charges and Fields

normal

A charge $Q$ is divided into two parts of $q$ and $Q - q$. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of $\frac{Q}{q}$ should be

$2$

$0.5$

$4$

$0.25$

Solution

(a) Let separation between two parts be $r$ $⇒$ $F = k.q\frac{{(Q – q)}}{{{r^2}}}$
For $F$ to be maximum $\frac{{dF}}{{dq}} = 0$ $⇒$ $\frac{Q}{q} = \frac{2}{1}$

Standard 12

Physics

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A charge $Q$ is divided into two parts of $q$ and $Q - q$. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of $\frac{Q}{q}$ should be

Solution

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