How much work is done. Physics problem

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SUMMARY

The discussion focuses on calculating electric potential and work done in a physics problem involving two identical +38 µC charges placed 41 cm apart. The potential midway between the charges is derived using the formula for electric potential, V = k * q / r. The work done to move a 0.40 µC charge from the midpoint to a point 10 cm closer to either charge is calculated by determining the change in potential (ΔV) and multiplying it by the charge (q). The relevant constants include Coulomb's constant (k = 8.99 x 10^9 N m²/C²).

PREREQUISITES
  • Understanding of electric potential and Coulomb's law.
  • Familiarity with the concept of work in the context of electric fields.
  • Knowledge of basic charge units (microcoulombs, µC).
  • Ability to manipulate equations involving electric potential and force.
NEXT STEPS
  • Study the derivation of electric potential from point charges using the formula V = k * q / r.
  • Learn how to calculate work done in electric fields using the formula W = q * ΔV.
  • Explore the implications of charge placement on electric potential and field strength.
  • Investigate the concept of equipotential surfaces and their relationship to electric fields.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone preparing for exams involving electric potential and work in electric fields.

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Homework Statement



1. A +38 uC charge is place @ 41cm from an identical +38uC. If assuming the potential identity is 0. what's the potential midway btw the 2 charges?
2. How much work is done to move a 0.40 uC charge from a point midway between the charge to a point 10 cm closer to either of the charges?

Homework Equations



V= m/q ?
F= Ke qq/r

The Attempt at a Solution


Not sure where to start but...
8.99e-19(38e-6)(q3)/(.041m-x )^2
8.99e-19(38e-6)(q3)/(x )^2
 
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Simply calculate the ΔV because that times q is your work.
 


so i used V= Ke q/r?
 

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