Why is the answer to this electricity question negative?

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SUMMARY

The electric potential difference between points A and B for a proton moving under electric forces is calculated using the formula V_B - V_A = (m(v_B^2 - v_A^2))/(2q). Given the mass of the proton (1.7 * 10-27 kg) and charge (1.6 * 10-19 C), the calculated potential difference is 8.5V. However, the professor indicates the answer is -8.5V, which signifies that point B is at a lower potential than point A, aligning with the principle that electric fields direct from higher to lower potential.

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srk999
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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?
 
Last edited:
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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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