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Electrostatic Potential and Capacitance

  1. Charges +q and –q are placed at points A and B respectively  which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is
    1. qQ
      2πε0L
    2. qQ
      6πε0L
    3. -
      qQ
      6πε0L
    4. qQ
      4πε0L
Correct Option: C


Potential at C = VC = 0 ​
Potential at D = VD ​​

= k
-q
+
Kq
= -
2
kq
L3L3L

​Potential difference
VD - VC =
-2
kq
=
1
-
2
.
q
3L4πε03L

​⇒ Work done = Q (VD - VC) ​
= -
2
×
1
qQ
=
- qQ
34πε0L6πε0L



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