Two charges 4q and q are placed 30cm apart

Asked by admin @ 17/08/2021 in Physics viewed by 350 People

two point charges +4q and +q are placed 30cm apart.At what point on the line joining them the electric field is zero?

Answered by admin @ 17/08/2021

Where E=0 this point is called neutral point.
it is the point where electric field of both charge is same
we know tha t E=kQ/r^2
here k=1/4pi€
for 4q charge
let at ''a'' distance we get E=0 which is from q charge
so distance from 4q of 'a' point is 30-a
electric field by 4q charge on a is
E=k4q/(30-a)^2
electric field by q charge on a point
E=kq/a^2
both electric field are equal so put them equal
k4q/(30-a)^2=kq/a^2
solve this we get
4a^2=(30-a)^2
2a=30-a
3a=30
a=10
so at a distance 10cm from charge q we get E=0
distance from 4q charge 30-10=20cm.
i hope u got ur answer.
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