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Unit 1 Day 14: Electric Potential and the Electric Potential Difference
Electric Potential Energy Work done by the Electrostatic Force on a charge The Electric Potential The Electric Potential Difference The Electric Potential of a Charged Conducting Sphere
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Electric Potential Energy
The Electrostatic Force is a Conservative Force The Work done by the Electrostatic Force is: The work done getting a proton from point a to b by the electrostatic Force is:
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The Electric Potential
Define the Electric Potential as the electric potential energy per unit charge: This represents a voltage, SI Units: Volts (1 Volt = 1 Joule / Coulomb) The Potential Difference between points a and b is:
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The Velocity of an Electron in a CRT
Cathode Anode ΔV Solving for the final velocity:
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Basis for the Relationship between the Electric Field and Potential Difference
Work done by the electrostatic force is equivalent to the change in the object’s potential energy.
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The Electric Potential of a Charged Conducting Sphere
For a charged conducting sphere, the electric potential at a radial distance of r away from the center of the sphere:
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The Electric Potential of a Charged Conducting Sphere
The E-Field inside the conducting sphere is zero, and outside is an inverse square law
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The Electric Potential of a Charged Conducting Sphere
The electric potential inside the conducting sphere is constant, and outside is an inverse relationship.
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