A point charge 
is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge 
, distributed uniformly along its length, as shown in figure. Force between 
and wire is 
N. (Use : 
)
Text Solution
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Consider a small element of length 
on the wire at a distance 
from the point charge 
.
The linear charge density of the wire is 
.
The charge on the small element is 
.
The electrostatic force between the point charge 
and the element 
is 
.
The total force 
is obtained by integrating 
from 
to 
, where 
and 
.
Substituting the given values: 
, and
.
.
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