Electric Field lines running high to low voltage

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SUMMARY

The discussion centers on demonstrating that electric field lines run from higher voltages to lower voltages using the equation Vb - Va = -∫ab (E · ds). The voltage range in the experiment is from 0 to 6 volts, supplied by a DC power supply. Additionally, it is established that electric field lines are perpendicular to equipotential lines, reinforcing the relationship between electric fields and voltage gradients.

PREREQUISITES
  • Understanding of electric fields and potentials
  • Familiarity with calculus, specifically integration
  • Knowledge of DC power supplies and their voltage outputs
  • Concept of equipotential lines in electrostatics
NEXT STEPS
  • Study the mathematical derivation of electric field lines from voltage differences
  • Explore the concept of equipotential surfaces in electrostatics
  • Learn about the applications of electric fields in practical circuits
  • Investigate the relationship between electric field strength and voltage in different materials
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of electric fields and potentials in electrostatics.

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Homework Statement


Show from the given equation Vb -Va=-intergral a to b (E x ds) that the electric field lines run from higher voltages to lower voltages. Also show from this equation that the electric field lines are perpendicular to equipotential lines.

The voltage in our experiment ran from 0-6 across the conductive paper (provided by a dc power supply.

Homework Equations


Vb -Va=-intergral a to b (E x ds)

The Attempt at a Solution


I don't really know where to get started

6-0=-integral(E x ds)

Please point me in the right direction.
 
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Care to copy the lab directions and show them here?
 
Thank You for your time, I figured it out.
 

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