Question

Find the force of interaction between a point charge q and a thin conductor

Answer 1

Answer:

Explanation:

We know, coulombs law is valid only in case of point charge . But here we see charge varies with distance of point charge . So, we have to use integration method to find out electric field between them,

Cut an elementary length dx in rod at x distance from the point charge.

now, charge on element , dQ = (q/l)dx

Now, you can apply Coulombs law,

e.g., Electric force , F = KqdQ/x²

F  [∵dQ =n(q/l)dx

=

= kq^2/d(d+l)

Hence, electric force between them is kq²/d(d+l)