Electric Potential(V) and Electric Potential Energy(U) laws

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Electric potential (V) increases as a particle approaches a proton and decreases as it nears an electron, confirming the correctness of the first two statements. The relationship between electric potential energy (U) and movement in relation to the electric field depends on the charge of the particle. For a positive charge, U increases when moving against the electric field and decreases when moving with it, while the opposite is true for a negative charge. The discussion emphasizes that potential energy decreases as particles that attract each other come closer. Understanding these principles is crucial for grasping electric potential and energy concepts.
lonewolf219
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Hi, I was wondering if anyone could tell me if these 4 following statements are correct?


1. V increases as a particle nears a proton

2. V decreases as a particle nears an electron

3. U increases as a particle moves in opposite direction of Electric Field

4. U decreases as a particle moves in same direction of Electric Field
 
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The answer to the above depends totally upon the charge on your "particle".
But the rule is that, if particles are attracted to each other, the Potential Energy decreases as they get closer and vice versa.
 
Statements 1 and 2 are true. Voltage is defined with the convention that positive charges are involved. Electrical potential energy multiplies voltage by the charge, so negative charges will have negative electrical potential energy compared to positive charges (assuming an appropriate reference point for U equal to zero).

3. U increases as a particle moves in opposite direction of Electric Field
False - for a positive charge, U becomes more positive. For a negative charge, U becomes more negative (assuming an appropriate reference point for U equal to zero).

4. U decreases as a particle moves in same direction of Electric Field
False - for a positve charge, U becomes less positive, for a negative charge, U become less negative (assuming an appropriate reference point for U equal to zero).
 
I've been studying this concept for weeks, and should have asked you guys! Thank you very much, rcgldr.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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