A point charge is placed at origin as shown in the diagram. diagram. Which of the following statement is true:- A B A Potential at B may be greater than A B Potential at A may be greater than B с Potential energy of a charge +9 placed at B may be lesser than the potential energy when it is placed at C D All are possible
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Answer:
Potential energy of two charge system is U=
4πϵ
0
r
12
q
1
q
2
When charge −Q at A, potential energy U
A
=
4πϵ
0
(OA)
(−Q)q
=
4πϵ
0
a
(−Q)q
When charge −Q at B, potential energy U
B
=
4πϵ
0
(OB)
(−Q)q
=
4πϵ
0
a
(−Q)q
Work done ,W
AB
=−Q(V
B
−V
A
)=U
B
−U
A
=
4πϵ
0
a
(−Q)q
−
4πϵ
0
a
(−Q)q
=0
Explanation:
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