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How far in meters from the charge will the potential be 75 V if it is zero at infinity?

1 Answer

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Final answer:

To find how far from a point charge the potential is 75 V, we use the formula V = kQ/r and solve for r. However, without knowing the charge Q, we cannot compute the exact distance.

Step-by-step explanation:

The question is asking to determine how far in meters from a point charge the electric potential will be 75 V, given that the potential at infinity is zero. This is a Physics problem related to electric potential and electric fields, and it's applicable at a High School level. The electric potential V at a distance r from a point charge Q is given by the formula V = kQ/r, where k is Coulomb's constant (8.99 × 10¹ N·m²/C²). To find the distance r where the potential is 75 V, we can rearrange this formula to solve for r: r = kQ/V.

To find the exact distance, however, we need the magnitude of the point charge, which isn't provided in this specific question. If we were given the charge or if we could infer it from additional context or prior examples, we would substitute the known values for Q and V into the rearranged formula and solve for r.

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User Rob Caraway
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