(C) Let the two identical charges be $q$ at positions $0$ and $d$ on the $x$-axis.At a point $P$ at distance $x$ from the first charge, the electric f

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(C) Let the two identical charges be $q$ at positions $0$ and $d$ on the $x$-axis.At a point $P$ at distance $x$ from the first charge, the electric field $E$ is given by:$E = \frac{kq}{x^2} - \frac{kq}{(d-x)^2}$At the midpoint $x = d/2$, $E = \frac{kq}{(d/2)^2} - \frac{kq}{(d/2)^2} = 0$.For $x For $x > d/2$, the second term is greater, so $E$ is negative.As $x \to 0$, $E \to \infty$. As $x \to d$, $E \to -\infty$.The curve that shows a positive value decreasing to zero at $x = d/2$ and then becoming negative and decreasing further is represented by the graph in option $C$.

Class 12 Physics Electric Charges and Fields Electric Field

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Two identical point charges are placed at a separation of $d$. $P$ is a point on the line joining the charges, at a distance $x$ from any one charge. The field at $P$ is $E$. $E$ is plotted against $x$ for values of $x$ from close to zero to slightly less than $d$. Which of the following represents the resulting curve?

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Electric Charges and Fields

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Electric Field

Electric field at a distance $r$ from an infinitely long uniformly charged straight conductor,having linear charge density $\lambda$ is $E_1$. Another uniformly charged conductor having same linear charge density $\lambda$ is bent into a semicircle of radius $r$. The electric field at its centre is $E_2$. Then

EasyKCET 2023

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Two point charges $q_1 = \sqrt{10} \, \mu C$ and $q_2 = -25 \, \mu C$ are placed on the $x$-axis at $x = 1 \, m$ and $x = 4 \, m$ respectively. The electric field (in $V/m$) at a point $y = 3 \, m$ on the $y$-axis is,[ take $\frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 \, Nm^2C^{-2}$ ]

DifficultJEE MAIN 2019

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$A$ tiny $0.50\, g$ ball carries a charge of magnitude $10\, \mu C$. It is suspended by a thread in a downward electric field of intensity $300\, N/C$. If the charge on the ball is positive,then the tension in the string is

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What will be the magnitude of the electric field at point $O$ as shown in the figure? Each side of the figure has length $l$ and segments are perpendicular to each other.

DifficultJEE MAIN 2021

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$A$ thin half ring of radius $35 \text{ cm}$ is uniformly charged with a total charge of $Q$ coulomb. If the magnitude of the electric field at the centre of the half ring is $100 \text{ V/m}$, then the value of $Q$ is . . . . . . $\text{nC}$. ($\epsilon_0 = 8.85 \times 10^{-12} \text{ C}^2/\text{Nm}^2$ and $\pi = 3.14$)

DifficultJEE MAIN 2026

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Two point charges $q_1 = \sqrt{10} \, \mu C$ and $q_2 = -25 \, \mu C$ are placed on the $x$-axis at $x = 1 \, m$ and $x = 4 \, m$ respectively. The electric field (in $V/m$) at a point $y = 3 \, m$ on the $y$-axis is,[ take $\frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 \, Nm^2C^{-2}$ ]

$A$ tiny $0.50\, g$ ball carries a charge of magnitude $10\, \mu C$. It is suspended by a thread in a downward electric field of intensity $300\, N/C$. If the charge on the ball is positive,then the tension in the string is

What will be the magnitude of the electric field at point $O$ as shown in the figure? Each side of the figure has length $l$ and segments are perpendicular to each other.

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