Two point charges q and -2q are kept on x-axis at ( -a,0,0) and ( 2a,0,0) . Find the locus of all points wher electric potential is zero. Assume that electric potential at infinite distance from a point charge is zero.

Explanation

To find the locus of all points where the electric potential is zero due to two point charges \( q \) and \( -2q \) located at \( (-a, 0, 0) \) and \( (2a, 0, 0) \) respectively, we can follow these steps:

### Step 1: Write the expression for electric potential
The electric potential \( V \) at a point \( (x, 0, 0) \) due to a point charge is given by the formula:
\[ V = k \frac{q}{r} \]
where \( k \) is the Coulomb's constant, \( q \) is the charge, and \( r \) is the distance from the charge to the point where we are calculating the potential.
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