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AIEEE 2004 Physics Solved Paper
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© examsnet.com
Question : 38
Total: 78
Four charges equal to -
Q
are placed at the four corners of a square and a charge
q
is at its center. If the system is in equilibrium the value of
q
is
−
Q
2
(
1
+
2
√
2
)
Q
4
(
1
+
2
√
2
)
−
Q
4
(
1
+
2
√
2
)
Q
2
(
1
+
2
√
2
)
Validate
Solution:
Net field at A should be zero
√
2
E
1
+
E
2
=
E
3
∴
k
Q
×
√
2
a
2
+
k
Q
(
√
2
a
)
=
k
q
(
a
√
2
)
2
⇒
Q
√
2
1
+
Q
2
=
2
q
⇒
q
=
Q
4
(
2
√
2
+
1
)
© examsnet.com
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