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Class 12
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Electrostatic Potential and Capacitance
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Potential Energy of a System of Charges
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Introduction to Electric Potential Energ...
Introduction to Electric Potential Energy
14 Mins
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Important Questions
Three charges
Q
,
+
q
and
+
q
are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if
Q
is equal to:
Medium
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>
Derive the expression for potential energy of a system of two charges in the absence of the external electric field.
Easy
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>
Two charges
q
1
​
and
q
2
​
are placed 30 cm apart, as shown in the figure. A third charge
q
3
​
is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is
4
Ï€
ϵ
0
​
q
3
​
​
k
, where k is
Hard
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>
A charge
q
is placed at the centre of the line joining two equal charges
Q
. Show that the system of three charges will be in equilibrium if
q
=
−
4
Q
​
.
Medium
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>
Four equal charges
q
each are placed at four corners of square of side
a
each. Work done in carrying a charge
−
q
from its centre to infinity isÂ
Medium
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>
(a) Deduce the expression for the potential energy of a system of two charges
q
1
​
and
q
2
​
 located
r
1
​
​
andÂ
r
2
​
​
, respectively, in an external electric field.
(b) Three point charges, + Q + 2Q and - 3Q are placed at the vertices of an equilateral triangle ABC of side l. If these charges are displaced to the mid-point
A
1
​
,
B
1
​
and
C
1
​
, respectively, find the amount of the work done in shifting the charges to the new locations.
Hard
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>
The charges
Q
,
+
q
and
+
q
are placed at the vertices of an equilateral triangle of side
l
. If the net electrostatic energy of the system is zero, then
Q
is equal to :
Medium
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>
Identical charges (
−
q
) are placed at each corners of cube of side
b
then electrostatic potential energy of charge (
+
q
) which is placed at centre of cube will be
Hard
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>
Two identical particles of mass
m
carry charge
Q
each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards first particle from a large distance with speed
v
. The closest distance of approach will beÂ
Hard
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>
Determine the electric potential energy for a system of three-point charges.
Medium
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>