Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsElectric Field & ForceMedium2 minPYQ_2021

PhysicsMediumsingle choice

A certain charge $Q$ is divided into two parts $q$ and $(Q - q) .$ How should the charges $Q$ and $q$ be divided so that $q$ and $(Q - q)$ placed at a certain distance apart experience maximum electrostatic repulsion?

Options:

Answer:

Solution:

$F_{q} = \frac{k q (Q - q)}{L^{2}} = \frac{k}{L^{2}} (q Q - q^{2})$
$\frac{d F}{d q} = 0$ when force is maximum
$\frac{d F}{d q} = \frac{k}{L^{2}} [Q - 2 q] = 0$
$\Rightarrow Q - 2 q = 0 \Rightarrow Q = 2 q$

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: PYQ_2021

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