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Two charges Q and -2Q are placed at (3a,0) and (-3a,0). Find the locus of the points where the potential due these two is charges same.

Two charges Q and -2Q are placed at (3a,0) and (-3a,0). Find the locus of the points where the potential due these two is charges same.

Grade:12

3 Answers

Ramesh V
70 Points
11 years ago

Electric potential due to a point charge = 

The electrical potential due to point charges

so let (x,y) be th e locus of point net potential at point is zero

V(x,y,z)= 0

[Q / k.((x-3a)2 + y2 )1/2 ] + [ -2Q / k.((x+3a)2 + y2 )1/2 ] = 0

4*((x-3a)2 + y2 )1/2 - ((x+3a)2 + y2 )1/2 = 0

The locus is a circle : x2 + y2 +9a2 -10.a.x = 0

 

Rahul Milind Surange
18 Points
11 years ago

it's got to be an equipotential surface.

  1. for pt charges the equipotential surfaces are concentric circles.
chaitu552 552
8 Points
11 years ago

consider a unit charge q at a distance x from one of the charges ,now use potential formula KQq/r2 solve

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