What is mean by electric field and how can we detect the electric field upon a point at infinity?
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Consider a system of point charges. To calculate the value of an electric field at a point, we consider the contribution of the electric field from all the charges at that point. Consider the following situation:
Say we have a system of two point charges, and I want to calculate the value of the electric field at the point where one of the point charges lies. I'll consider the contribution from the two charges using coulomb's law:
E=
E
=
KQr2
K
Q
r
2
When I do this what I get is E=∞
E
=
∞
since r=0
r
=
0
, since limx→0f(x)=
lim
x
→
0
f
(
x
)
=
1x2
1
x
2
=∞
=
∞
.
Now if we were to calculate the force acting on that charge at that point which is given by:
F=qE
F
=
q
E
, since E=∞
E
=
∞
, therefore F=∞
F
=
∞
and a=∞
a
=
∞
where a
a
is the acceleration.
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