An electron with an initial speed of 500,000 m / s is brought to rest by an electric field. a. D

step 1 Hello, so protons will move from higher to lower potential, so this is high and this is low, mea

An electron with an initial speed of 500,000 m / s is...

An electron with an initial speed of $500,000 \mathrm{m} / \mathrm{s}$ is brought to rest by an electric field. a. Did the electron move into a region of higher potential or lower potential? b. What was the potential difference that stopped the electron? c. What was the initial kinetic energy of the electron, in electron volts?

An electron with an initial speed of $500,000 \mathrm{m} / \mathrm{s}$ is brought to rest by an electric field.
a. Did the electron move into a region of higher potential or lower potential?
b. What was the potential difference that stopped the electron?
c. What was the initial kinetic energy of the electron, in electron volts?

Key Concepts

Conversion between Joules and Electron Volts

In the study of atomic and subatomic particles, energy is often expressed in electron volts (eV) for convenience, with the conversion factor 1 eV = 1.602×10?¹? Joules. This conversion is essential when comparing energy values calculated in SI units (Joules) to those commonly used in particle physics.

Work-Energy Principle in Electric Fields

The work-energy principle states that the work done on a particle by external forces equals its change in kinetic energy. In the context of electric fields, the work done on a charged particle is calculated as the product of its charge and the potential difference (W = q?V). This relationship allows one to correlate the energy required to bring a particle to rest with the potential difference it experiences.

Electric Potential and Potential Energy

This concept involves understanding that the electric potential represents the potential energy per unit charge. When a charged particle like an electron moves in an electric field, its change in potential energy is given by the product of its charge and the change in electric potential (?U = q?V). For an electron, which carries a negative charge, moving to regions of increasing potential results in a decrease in kinetic energy.

Kinetic Energy

Kinetic energy is the energy a particle possesses due to its motion. It is calculated using the formula K = ½ mv², where m is the mass of the particle and v is its velocity. This concept is central to determining how much energy an electron has initially before being affected by an external field.

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