Charge, Potential, Work, and Electricity

AI Thread Summary
The discussion revolves around calculating the charge moved from a higher potential (275 V) to a lower potential (150 V) using the work done (4.0 x 10^-4 J). The initial calculation mistakenly used the wrong change in voltage, leading to an incorrect charge value. After correcting the voltage difference to -125 V, the correct formula yields a charge of -3.2 micro-Coulombs. Participants emphasized the importance of considering the signs in voltage changes and the direction of the electric field. The final resolution clarified the relationship between work, voltage, and charge in electric fields.
Phoenixtears
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Homework Statement



Moving a charge from point A, where the potential is 275 V, to point B, where the potential is 150 V, takes 4.0 10-4 J of work. What is the value of the charge?


Homework Equations



V= w/q

V= change in voltage
w= work
q= charge

The Attempt at a Solution



This problem seems simple enough, but for some reason I can't get the right answer. W= 4E-4 and then I divided it by the change in V (275- 150).

4E-4/ 115= 3.478E-6

Then I mulitplied by 1E6 to change the units into micro-Coulombs.

Yet this answer is wrong. What am I doing incorrectly??

Thanks in advance for the help!

~Phoenix
 
Last edited:
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first 150-275 = 125 not 115

i thin you may have to be careful with signs here as well

hint dV = V2-V1, if it takes work to move a charge to a smaller potential can we say something about the charge?

Think which way the electric field is pointing and how a positive charge would want to move between the points
 
Oh... I see what you're saying. (Sorry about the 115 thing, that was just my typing... the actual calculation was correct).

So instead it would be 4E-4/(150-275)= -3.2 Micro-C. Thanks so much! That makes perfect sense.
 
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