A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system. The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R2=2R₁ from the center of the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point? 10

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A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system.
The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed
at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at
R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R₂=2R₁ from the center of
the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point?
10
Transcribed Image Text:A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system. The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R₂=2R₁ from the center of the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point? 10
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