Potential and work done by the charge

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SUMMARY

The discussion revolves around calculating electric potential and energy changes due to a charge Q = -10.0 nC located at specific distances from points A and B. The potential at A is determined to be 300V and at B, 180V, resulting in a potential difference of 120V when moving a charge q = -26.5 nC from A to B. The change in electric potential energy is calculated as 3.18 µJ, with both potential and potential energy decreasing during the movement. The forum participants seek confirmation on the correctness of their calculations and guidance on determining the work done by the electric field.

PREREQUISITES
  • Understanding of electric potential and potential energy concepts
  • Familiarity with Coulomb's law and electric field calculations
  • Knowledge of the formula for electric potential (VA = kq/r)
  • Basic skills in unit conversions, particularly nanocoulombs to coulombs
NEXT STEPS
  • Learn about electric field calculations using Coulomb's law
  • Study the concept of work done by electric fields in electrostatics
  • Explore the implications of charge sign on potential energy changes
  • Investigate the relationship between electric potential and electric field strength
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Students studying electrostatics, physics educators, and anyone involved in electrical engineering or related fields seeking to deepen their understanding of electric potential and energy 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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