(I) How much work does the electric field do in moving a...

(I) How much work does the electric field do in moving a proton from a point with a potential of $+125 \mathrm{V}$ to a point where it is $-55 \mathrm{V}$ ? Express your answer both in joules and electron volts.

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Key Concepts

Electric Potential

Electric potential is a measure of the potential energy per unit charge at a point in an electric field, expressed in volts (joules per coulomb). It provides a way to quantify the work required to move a charge from a reference point to a specific location within the field.

Potential Difference

Potential difference represents the difference in electric potential between two points. It indicates how much energy per unit charge is available to be converted into kinetic energy or work as a charge moves between these two points in an electric field.

Work Done by an Electric Field

The work done by an electric field on a charge is related to the change in electric potential energy and can be calculated using the relation W = q(V_initial - V_final). This concept is crucial for understanding energy transfer processes in electrostatic situations, as the field does work on a charge when it moves in the direction of decreasing potential.

Units Conversion (Joules and Electron Volts)

Converting between joules and electron volts is essential in physics, especially at atomic scales. One electron volt (eV) is defined as the amount of energy gained by a charge of one elementary charge when it moves across a potential difference of one volt, and is approximately equal to 1.6 x 10^-19 joules.

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