Potential and work done by the charge

AI Thread Summary
The discussion revolves around calculating electric potential and energy changes involving a charge Q and a point charge q. The potential at point A is calculated to be 300V, while at point B it is 180V, resulting in a potential difference of 120V when moving from A to B. It is confirmed that the potential decreases during this movement, and the change in electric potential energy for q is calculated as 3.18 µJ, indicating a decrease in potential energy. There is a request for clarification on the calculations, particularly regarding the sign of the charge, and guidance is sought for determining the work done by the electric field as q moves from A to B. The importance of correctly accounting for the charge's sign is emphasized in the calculations.
xamy
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1. Homework Statement

Tis is my attempt to the question so far. I am not sure about the answers if anyone please confirm them whether I have done the solution correctly or not especially for part 1.4 and 1.6.
Can anyone also guide me about how to do the last part.

1. A chargeQ =-10.0 nC is located 0.30 m from pointA and 0.50 m from pointB.
1.1. What is the potential at A?
1.2. What is the potential atB?
1.3. If a point chargeq is moved fromA toB whileQ is fixed in place, through what potential difference does it move?
1.4. Does its potential increase or decrease?
1.5. Ifq =-26.5 nC, what is the change in electric potential energy as it moves fromA toB?
1.6.Does the potential energy increase or decrease?
1.7. How much work is done by the electric field due to chargeQ as q moves fromA toB?2. The attempt at a solution

1.1
VA=kq/r

=(9x109)(10n)/0.3

=300V

1.2
VB=kq/r


=(9x109)(10n)/0.5

=180V

1.3
ΔV=VA-VB


=300-180

=120V

1.4
Decrease

1.5
ΔUE=qΔV


=(26.5n)(120)

=3.18uJ

1.6
decrease
 
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xamy said:

Homework Statement



1. A chargeQ =-10.0 nC is located 0.30 m from pointA and 0.50 m from pointB.
1.1. What is the potential at A?
1.2. What is the potential atB?
1.3. If a point chargeq is moved fromA toB whileQ is fixed in place, through what potential difference does it move?
1.4. Does its potential increase or decrease?
1.5. Ifq =-26.5 nC, what is the change in electric potential energy as it moves fromA toB?
1.6.Does the potential energy increase or decrease?
1.7. How much work is done by the electric field due to chargeQ as q moves fromA toB?2. The attempt at a solution

1.1
VA=kq/r

=(9x109)(10n)/0.3

=300V

You substituted wrong value for the charge - everywhere. The sign of the charge can not be ignored!
 
Alright is answer to question 1.4 and 1.6 correct?? Secondly can you guide me how to solve qtn 1.7
 
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