Two electric charges q and -2q are placed at a distance 3a apart. The locus of points in the plane of the charges where the field potential is zero is:
hyperbola
straight line
ellipse
circle
A
ellipse
B
straight line
C
circle
D
hyperbola
Open in App
Solution
Verified by Toppr
Let at point (x, y) potential be zero.
then we have.
kq√x2+y2+k(−2q)√(3a−x)2+y2=0
1√x2+y2=2√(3a−x)2+y2
(3a−x)2+y2=4x2+4y2
9a2+x2−6ax+y2=4x2+4y2
⇒3x2+3y2+6ax−9a2=0
⇒y2+(x+a)2=4a2
∴ circle at center (-a, 0) with radius 2a.
Was this answer helpful?
1
Similar Questions
Q1
Two electric charges q and -2q are placed at a distance 3a apart. The locus of points in the plane of the charges where the field potential is zero is:
View Solution
Q2
If two electric charges q and −2q are placed at distance 6a apart, then locus of point in the plane of charges, where electric potential is zero is: (Take charge q at origin and −2q lies on positive x-axis)
View Solution
Q3
Two point charges +q and −2q are placed at a distance 6 m part on a horizontal plane. Find the locus of a point on this plane where the electric potential has zero value.
View Solution
Q4
Two charges Q and -2Q are placed at some distance. the locus of points in the plane of the charges where the potential is zero will be
View Solution
Q5
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 :