Two charges +Q and -2Q are placed at ( -a,0) & (+a,0). The locus of points in the plane of the charges where the potential is zero will be :
straight line
circle
parabola
ellipse
A
ellipse
B
parabola
C
straight line
D
circle
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Solution
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Let (x,y) be the point where potential due to the two charges is zero. Therefore, kQ/√(x+a)2+y2−2kQ/√(x−a)2+y2=0 (x−a)2+y2=4((x+a)2+y2)⇒3x2+3y2+10xa+3a2=0 The locus is thus a circle.
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