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 ?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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