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Electrostatic Potential and Capacitance
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Potential Due to a Point Charge
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Potential Due to a Point Ch...
Potential Due to a Point Charge
Physics
formula
Electric potential due to a point charge
V
=
4
π
ϵ
0
r
Q
where
Q
is a point charge and
V
is the potential due it at a point of r distance.
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Important Questions
Derive an expression for the electric potential due to a point charge :
Medium
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The electric potential at a point
P
(
x
,
y
,
z
)
is given by
V
=
−
x
2
y
−
x
z
3
+
4
. The electric field
E
at that point is
Hard
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>
The electric potential at a point in free space due to a charge
Q
coulomb is
Q
×
1
0
1
1
V
. The electric field at that point is
Medium
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>
Three charges
−
q
,
Q
a
n
d
−
q
are placed at equal distances on a straight line. If the total potential energy of the system of three charges is zero, then the ratio
Q
:
q
is :
Medium
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>
Two points charges
4
μ
C
and
−
2
μ
C
are separated by a distance of 1 m in air. At what point in between the charges and on the line joining the charges, is the electric potential zero?
Medium
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>
Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge in its vicinity.
Medium
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>
A charge
3
coulomb experiences a force
3
0
0
0
N
when placed in a uniform electric field. The potential difference between two points seperated by a distance of
1
c
m
along the field lines is :
Medium
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>
A hollow metal sphere of radius
1
0
cm is charged such that the potential on its surface becomes
8
0
V. The potential at the centre of the sphere is?
Medium
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>
If
1
0
0
joule of work must be done to move electric charge equal to
4
C
from a place, where potential is
−
1
0
volt to another place, where potential is V volt, find the value of V.
Medium
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>
An electric charge
1
0
−
3
μ
C
is placed at the origin (0, 0) of X-Y co-ordinate system. Two points A and B are situated at
(
2
,
2
)
and (2, 0) respectively. The potential difference between the points A and B will be :
Hard
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>