Question

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:

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Correct option is

Let at point (x, y) potential be zero.

then we have.

$x_{2}+y_{2}βkqβ+(3aβx)_{2}+y_{2}βk(β2q)β=0$

$x_{2}+y_{2}β1β=(3aβx)_{2}+y_{2}β2β$

$(3aβx)_{2}+y_{2}=4x_{2}+4y_{2}$

$9a_{2}+x_{2}β6ax+y_{2}=4x_{2}+4y_{2}$

$β3x_{2}+3y_{2}+6axβ9a_{2}=0$

$βy_{2}+(x+a)_{2}=4a_{2}$

$β΄$ circle at center (-a, 0) with radius 2a.

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