Two point charges, q1 and q2, are located at points (a, o, o) and (o, b, o)
respectively. Find the electric field, due to both these charges, at the point,
(o, o, c).

Question

Two point charges, q1 and q2, are located at points (a, o, o)
and (o, b, o)
respectively Find the electric field, due to both these charges, at
the point,
(o, o, c)

Vijay Yadav · Accepted Answer

Two point charges, q1 and q2, are located at points (a, o, o) and (o, b, o)
respectively. Find the electric field, due to both these charges, at the point,
(o, o, c).

Two point charges, q₁ and q₂, are located at points A(a, 0, 0) and B(0, b, 0)
respectively.

We have to find net field at point C(0,0,c).

$\vec{A C} = c \hat{k} - a \hat{i} = > A C = \sqrt{a^{2} + c^{2}} \vec{B C} = c \hat{k} - b \hat{j} = > B C = \sqrt{b^{2} + c^{2}}$

So, net electric field at C is given by

$\vec{E} = k (\frac{q_{1}}{A C^{3}} \vec{A C} + \frac{q_{2}}{B C^{3}} \vec{B C})$

Plug-in the values of AB and AC to find electric field.

5

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Two point charges, q1 and q2, are located at points (a, o, o) and (o, b, o)respectively. Find the electric field, due to both these charges, at the point,(o, o, c).

Two point charges, q1 and q2, are located at points (a, o, o) and (o, b, o)
respectively. Find the electric field, due to both these charges, at the point,
(o, o, c).