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1. Electric Charges and Fields
hard
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
A

B

C

D

Solution
(d) At mid point, $E = 0$
Before mid point, $E$ is positive. This is maximum near the charge and decreases towards mid point.
After mid point, $E$ is negative, The curve crosses $x$-axes at $x$-axis at $x = d/2$. From centre to end, $E$ decreases.
The variation is shown by curve.
Standard 12
Physics