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IIT JEE Advanced 2008 Paper 2
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© examsnet.com
Question : 8
Total: 66
Consider a system of three charges q/3, q/3 and –2q/3 at points A, B and C respectively, as shown in the figure below. Take O to be the centre of the circle of radius R and angle CAB = 60°. Which among the following is correct?
The electric field at point O is
q
∕
(
8
π
ε
0
R
2
)
directed along the negative x-axis.
The potential energy of the system is zero.
The magnitude of the force between the charges at C and B is
q
2
∕
(
54
π
ε
0
R
2
)
.
The potential at point O is
q
∕
(
12
π
ε
0
R
2
)
.
Validate
Solution:
At the centre O, we have
→
E
A
=
−
→
E
B
E
C
=
k
[
(
2
q
)
3
]
R
2
(directed along x-axis)
Therefore,
U
sys
=
k
(
q
3
)
2
2
R
−
k
(
q
3
)
(
2
q
3
)
(
2
R
s
i
n
60
°
)
−
K
(
q
3
)
(
2
q
3
)
(
2
R
c
o
s
60
°
)
≠ 0
F
B
C
=
k
(
q
3
)
(
2
q
3
)
(
2
R
s
i
n
60
°
)
2
=
q
2
18
π
t
0
(
√
3
R
)
2
=
q
2
54
π
t
0
R
2
⇒
V
0
= 0
© examsnet.com
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