Two point charges are placed on the x axis. the Charge +2q is at x=1.5m, and the

Question

Two point charges are placed on the x axis. the Charge +2q is at x=1.5m, and the charge -q is at x=-1.5m. A.) There is a point on the x axis between the two charges where the electrical potential is zero. Where is this point? B) The electrical potential also vanishes at a point in one of the following regions: Option 1 region, x between 1.5m and 5.0m; Option 2 Region x between -1.5m and -3.0m, Option 3 region, x between -3.5m and -5.m . Identify the appropriate region.

Can you please include details about how to solve this problem. I am very confused.

Thanks..

Explanation / Answer

The Electric potential at distance R due to point charge V = KQ/r where K is constant having value 9 * 10^9 Nm^2/C^2.

let point on X axis is d where potential is zero.

Electric potential due to charge +2q is K*2q/(1.5-d).

Electric potential due to charge -q is k*(q)/d+1.5.

So K*2q/(1.5-d) = K*q/(d+1.5) . so 2d+3=1.5-d . so d= -.5

hance point on x axis is -.5.

B) let the other point be on x axis beyond first charge.

so potential due to first charge=K*2q/(d-1.5).

Electric potential due to charge -q is k*(q)/d+1.5.

so k*2q/d-1.5= k* q /d+1.5

so d=-4.5

hence second point will be on x between -3.5 and -5 m.

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