Question

Two similar charges of the same magnitude q are placed at a distance d apart . The intensity of the electric field at a point midway between the charges is _________. Also represent the above sum diagrammatically.

Answer 1

Answer:

electrons.

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Answer 2

Answer:

Two similar charges of the same magnitude q are placed at a distance d apart. Then, the intensity of the electric field at a point midway between the charges is zero.

Explanation:

Consider the diagram shown below,

Let two similar charge has magnitude $q$

and are kept $2r$ distance apart.

Then, distance of midpoint from each charge =  $r$.

Intensity of electric field is given by the formula, $E=\frac{1}{4 \pi \epsilon_o} \frac{q}{r^2}$

where, $q$ is magnitude of charge,

$\epsilon_0$ is the permittivity of free space,

$r$ is the distance at which electric field is to be found.

electric field at midpoint due to charge A = $E_A=\frac{1}{4 \pi \epsilon_o} \frac{q}{r^2}$       [toward right]

electric field at midpoint due to charge B = $E_B=\frac{1}{4 \pi \epsilon_o} \frac{q}{r^2}$       [towards left]

Electric field at midpoint due to A and B are of same magnitude and are in opposite direction.

So, net intensity of electric field at midpoint = $E_A-E_B =\frac{1}{4 \pi \epsilon_o} \frac{q}{r^2}-\frac{1}{4 \pi \epsilon_o} \frac{q}{r^2}=0$

So, net intensity of electric field at midpoint is zero.

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