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Chapter 23: Problem 18

An electron moves away from a proton. Describe how the potential it encounters changes. Describe how its potential energy is changing.

Short Answer

Expert verified
Answer: As the electron moves away from the proton, the electric potential decreases and the electric potential energy of the system also decreases.

Step by step solution

01

Explain the formula for electric potential

The electric potential between two charges is given by the formula: V = k * Q / r where V is the electric potential, k is the electrostatic constant (approximately 8.99 * 10^9 N m^2 C^-2), Q is the charge (in this case, the charge of a proton), and r is the distance between the charges.
02

Describe how the electric potential changes when the electron moves away from the proton

As the distance r between the electron and the proton increases, the electric potential V will decrease according to the formula V = k * Q / r. This means that the electron encounters a lower potential as it moves away from the proton.
03

Explain the formula for electric potential energy

The electric potential energy between two charges is given by the formula: U = k * Q1 * Q2 / r where U is the electric potential energy, Q1 and Q2 are the charges (in this case, the charges of the electron and proton), and r is the distance between the charges.
04

Describe how the electric potential energy changes when the electron moves away from the proton

As the distance r between the electron and the proton increases, their electric potential energy U will decrease according to the formula U = k * Q1 * Q2 / r. This means that the potential energy of the system is lower as the electron moves away from the proton.

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Most popular questions from this chapter

How much work would be done by an electric field in moving a proton from a point at a potential of \(+180 . \mathrm{V}\) to a point at a potential of \(-60.0 \mathrm{~V} ?\)

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