Question

Given curves show electric field intensity due to a point charge $\left(E\right)$ at a distance $\left(x\right)$ from it.
Here graphs$(A,B,C,D)$ corresponding to four charges are shown. Which graph represents the charge of higher magnitude?

• A. $\text{A}$
• B. $\text{B}$
• C. $\text{C}$
• D. $\text{D}$

Answer 1

The correct option is D $\text{D}$

From the definition of intensity of electric field,

$E=k\frac{Q}{r^2}$

So, if $r$ is constant.

$E\propto Q.....\left(1\right)$

For the given curves, at $x=r_0$, we can see that,

$E_D>E_C>E_B>E_A$

and from eq. $\left(1\right)$

$\Rightarrow Q_D>Q_C>Q_B>Q_A$

Hence, curve $\text{D}$ represent $E-x$ curve of charge having bigger magnitude.

Therefore, option $\left(d\right)$ is correct.