Why is the answer to this electricity question negative?

AI Thread Summary
The discussion centers on calculating the electric potential difference (VB - VA) for a proton moving from point A to point B under the influence of electric forces. The user initially calculates a potential difference of 8.5V, but the professor indicates the correct answer is -8.5V. The negative value signifies that point B is at a lower electric potential than point A, as electric fields direct from higher to lower potential. The correct relationship is established with the equation ΔKE = -qΔV, highlighting the connection between kinetic energy change and potential difference. Understanding this concept is crucial for grasping electric potential in physics.
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A proton (m = 1.7 * 10–27 kg, q = +1.6 * 10–19 C) starts from rest at point A and has a speed of 40 km/s at point B. Only electric forces act on it during this motion. Determine the electric potential difference VB-VA.

Here is what I did:
V = \frac{U}{q}
U = qV = \frac{1}{2}mv^2
V_B - V_A = \frac{m(v_B^2-v_A^2)}{2q}

Gives me 8.5V

My prof's answer says it is -8.5V. Why is it negative?
 
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srk999 said:
My prof's answer says it is -8.5V. Why is it negative?
Because B is at a lower potential than A. The electric field points from higher to lower potential.

That equation should be ΔKE = -qΔV.
 
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