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How far in meters from the charge will the potential be 120 v if it is zero at infinity?

User Fejesjoco
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1 Answer

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Final answer:

The potential will be 120 V at a distance of 7.5 x 10^-3 meters from the charge.

Step-by-step explanation:

To find the distance from the charge where the potential is 120 V, we need to use the equation for electric potential:

V = k * Q / r

where V is the potential, k is the Coulomb's constant (9 x 10^9 N*m^2/C^2), Q is the charge of the point charge, and r is the distance from the charge.

Since the potential is zero at infinity, we can rearrange the equation to solve for r:

r = k * Q / V

Substituting the given values, we have:

r = (9 x 10^9 N*m^2/C^2) * (1.00 x 10^-6 C) / 120 V

r = 7.5 x 10^-3 m

Therefore, the potential will be 120 V at a distance of 7.5 x 10^-3 meters from the charge.

User Andre Perkins
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