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Energy of a Capacitor

Two point cha...

Question

Two point charges $Q_{1}$ and $Q_{2}$ of equal magnitude are placed at a certain distance from each other. Assuming the field strength to be positive in the positive direction of x-axis.
The signs of the charges $Q_{1}$ and $Q_{2}$ for given graphs are :

A

+, +

;

+, -

;

-, +

;

-, -

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B

+, -

;

+, +

;

-, +

;

-, -

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C

-, +

;

+, -

;

+, +

;

-, -

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D

+, +

;

+, -

;

-, -

;

-, +

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Solution

The correct option is B $+, -$ ; $+, +$ ; $-, +$ ; $-, -$
For graph (i), $Q_{1}, Q_{2}$ should be ( $+, -$ ) respectively because the electric field everywhere ( also at the end points and midpoint) is pointing towards + x direction and at midpoint $E \neq 0$ .
For graph (ii), $Q_{1}, Q_{2}$ should be ( $+, +$ ) respectively because the electric field at first end point is pointing towards +x direction and at 2nd end point is pointing towards -x direction and at midpoint $E = 0$ .
For graph (iii), $Q_{1}, Q_{2}$ should be ( $-, +$ ) respectively because the electric field everywhere (also at the end points and midpoint) is pointing towards - x direction and at midpoint $E \neq 0$ .
For graph (ii), $Q_{1}, Q_{2}$ should be ( $-, -$ ) respectively because the electric field at first end point is pointing towards -x direction and at 2nd end point is pointing towards +x direction and at midpoint $E = 0$ .

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