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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Electrostatics

Olympiad workbook · NSEP · Electrostatics

Two equal positive charges +Q each lie on y axis at (0, a) and...

Two equal positive charges +Q each lie on y axis at

(0, a)

and

(0,-a)

. The electric field strength E at a point

(x, 0)

satisfies:

Options

A $E=\frac{1}{4 \pi \varepsilon_0} \frac{2 Q a}{\left(x^2+a^2\right)^{3 / 2}}$
Bfor large values of $x($ i.e $\quad x \gg a)$ , the electric field $E \propto \frac{1}{x^2}$
Cfor $x \geq 0, \mathrm{E}$ is maximum at $x=\frac{a}{\sqrt{2}}$

Correct answer

C. for $x \geq 0, \mathrm{E}$ is maximum at $x=\frac{a}{\sqrt{2}}$

Step-by-step solution

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