What is the potential difference VA-VB?

AI Thread Summary
The discussion centers on calculating the potential difference VA - VB between points A and B in a uniform electric field defined by E = 3 N/C i + 2 N/C j. A participant initially attempts to use a formula involving square roots but realizes it is incorrect. The correct approach for a uniform electric field is to use the scalar product, expressed as ΔV = -E · r. There is a suggestion that the potential difference might be negative, indicating a need for clarification on the direction of the electric field relative to the points. The conversation emphasizes the importance of using the correct mathematical formulation for potential difference in electric fields.
hoseA
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Points A (3 m, 2 m) and B (6 m, 6 m) are in a
region where the electric field is uniform and
given by E = Exi + Eyj, where Ex = 3 N/C
and Ey = 2 N/C.
What is the potential difference VA-VB?
Answer in units of V.

I used E(rB-rA)

sqr rt(13) times (sqr rt (72) - sqr rt (13)) = 17.59

this is wrong. What am i doing wrong?
 
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Given the field do you know how to calculate the potential (difference) in terms of a line intergral?
 
neutrino said:
Given the field do you know how to calculate the potential (difference) in terms of a line intergral?

help within the hour is much appreciated... I'm thinking maybe it should be negative?
 
hoseA said:
help within the hour is much appreciated... I'm thinking maybe it should be negative?

For a uniform E field, the potential difference is given by a scalar product (NOT a product of magnitudes!), \Delta V = - \vec E \cdot \vec r

Pat
 
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