In: Physics
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?
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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