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Electrostatic Potential and Capacitance

  1. The electric potential at a point in free space due to a charge Q coulomb is Q × 1011 volts. The electric  field at that point is
    1. 4 πε0 Q × 1022 volt/m
    2. 12 πε0 Q × 1020 volt/m
    3. 4 πε0 Q × 1020 volt/m
    4. 12 πε0 Q × 1022 volt/m
Correct Option: A

​Given that, V = Q × 1011 volts ​Electric potential at point is given by ​

V =
1
.
Q
or, Q × 1011 =
1
.
Q
4πε0r4πε0r

r =
1
. 10-11m.
4πε0

As |E| =
|V|
=
Q × 1011
r
1
.1011
4πε0

​= 4πε0 Q × 1022 volt m-1



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