Work and Voltage Change in Moving a Proton from Infinity to 0.16m

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SUMMARY

The discussion centers on calculating the work done by an electric field when moving a proton from infinity to a distance of 0.16 meters from a -10 μC charge on a conducting sphere. The potential difference at this distance is -562 kilovolts. Using the formula W = -ΔU = -q * ΔV, the work is calculated to be 89.9 x 10^-15 joules. The confusion arises regarding the sign of the work, as the proton is attracted to the negative charge, suggesting that the work should be positive.

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Homework Statement



Known:

Potential Difference of range 0.16 m < r < infinity is -562 kilovolts
At r = 0.16 there is a -10 μC charge on a conducting sphereQuestion:

How much work would the field do if a proton were moved from infinity to 0.16m? comment on the meaning of the sign.

Homework Equations


W = -ΔU = -q * ΔV
1 e = 1.60 x 10 ^-19 C
1 proton = +1e

The Attempt at a Solution



q = 1.60 x 10 ^-19 C
ΔV = -562 kV
W = -q * ΔV
... = -1.60 x 10 ^-19 C * -562 kV
... = 89.9 x 10 ^-15 J

However, shouldn't a proton wan't to approach a negative charge and thus the work should be negative?
 
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The proton is brought in from infinitely far away to r=0.16 m. It moves toward the negative charge, and the force on it due to the field also points toward the negative charge, so the work should be positive, no?
 

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