Question

In: Physics

A charge of -4 µ C is located at (x, y) = (0, 0) and a...

A charge of -4 µ C is located at (x, y) = (0, 0) and a second charge of 2 µ C is located at x = 1. (a) Find a general expression for the electric field. (b) At what point, if any, will the electric field vanish?

Expert Solution

Charge is at and charge is located at , That is the two charges lie on X-axis.

a)

Electric field vector at location due to a point charge located at is

Magnitude of electric field at distance from a charge is

b)

is left side and is right side. Distance between the two charges is

The two charges are opposite in sign, so electric field cannot be zero between them. Charge has smaller magnitude , so electric field will be zero at a point to the right side of charge .

Electric field due to the two charges vanishes at a distance to the right of charge . That is at a distance to the right side of charge

At this distance magnitude of electric fields due to the two charges must be equal ,

That is from charge electric field is zero at a distance that is at

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genius_generous answered 6 months ago

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