Electric Field Due to a Line of Charge along Its Axis
Find the dire...
Question
Find the direction of electric field at point P for the uniform line charge distribution of finite length as shown in figure, if line OP is equidistant from both the ends.
A
Along positive x− axis
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B
Along negative x− axis
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C
Along positive y− axis
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D
Along negative y− axis
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Solution
The correct option is A Along positive x− axis Consider a small elemental charge +dq charge, on either side of x-axis as shown.
Electric field due to these elemental charges is as shown,
From the above figure, we can say that y− components of electric field intensity will cancel each other, and x− components will be added. Hence net electric field due to given charge distribution is directed towards +x-axis.