Find the Point Where Electric Field is Zero: A Charge Problem

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SUMMARY

The discussion focuses on determining the point along the x-axis where the net electric field is zero due to two point charges: Q1 = +9 nC located at the origin and Q2 = +4 nC positioned at x = 5 meters. The electric field can only be zero at a point where the fields from both charges cancel each other out. This cancellation can occur in three regions: left of Q1, between Q1 and Q2, or right of Q2. The follow-up questions address calculating electric potential at x = -5 meters and the work required to move the +4 nC charge from x = 5 to x = 3 meters.

PREREQUISITES
  • Understanding of electric fields and point charges
  • Knowledge of Coulomb's Law
  • Familiarity with electric potential and its relation to work
  • Basic skills in vector analysis
NEXT STEPS
  • Calculate the electric field due to point charges using Coulomb's Law
  • Explore the concept of electric potential and its calculation for point charges
  • Learn about the relationship between electric potential and work done
  • Investigate the graphical representation of electric fields and potential
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields and potentials in charge systems.

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Homework Statement



A pair of charges sits on the x-axis, a charge Q1 = +9 nC at the origin and Q2 = +4 nC at x = 5. Assume no other charges are present. All coordinates are in meters.

At which one of these points is the net electric field equal to zero?


Homework Equations





The Attempt at a Solution

 
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Follow up questions:

What is the potential at x = -5 ?

How much work is required to move the +4 nC charge (Q2) from its original location at x = 5 to x = 3 ?

Any explanation would help?
Thank You
 
The field can be zero at a point only if the fields due to the two charges cancel out at that point.
In which region can this happen? Left of Q1 / between Q1 and Q2 / right of Q2 ?
In each region you could draw the field vectors due to each charge & see where they could possibly cancel out.

Moving on to the follow up questions, do you know the potential due to a charge? And, how work is related to potential ?
 

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