A point charge has a charge of 2.50 ×10^-11 C. At what distance from the point charge is the ele

step 1 So this problem tells us that we have a point charge with Q, such that Q is equal to 2 .5 times

A point charge has a charge of 2.50 ×10^-11 C. At what...

A point charge has a charge of $2.50 \times 10^{-11} \mathrm{C}$. At what distance from the point charge is the electric potential (a) $90.0 \mathrm{~V} ?$ (b) $30.0 \mathrm{~V}$ ? Take the potential to be zero at an infinite distance from the charge.

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Key Concepts

Electric Potential

Electric potential is the measure of potential energy per unit charge at a point in an electric field. For a point charge, it is given by the formula V = kQ/r, where V is the potential, k is the Coulomb constant, Q is the source charge, and r is the distance from the charge. This concept is crucial when determining how far from a charge a certain potential occurs.

Point Charge

A point charge is an idealized model in which a charged object is considered to have all its charge concentrated at a single point. This simplification allows for the use of simple formulas like V = kQ/r to calculate the electric potential and field, making complex charge distributions easier to analyze under certain conditions.

Coulomb Constant

The Coulomb constant, denoted as k, is a proportionality factor that appears in Coulomb’s law and formulas for electric potential and field. It quantifies the strength of the electric force between charges and is essential in computing the potential created by a point charge using the formula V = kQ/r.

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