Electric Field lines running high to low voltage

AI Thread Summary
Electric field lines are shown to run from higher voltages to lower voltages based on the equation Vb - Va = -∫(E x ds). In the context of an experiment with voltages ranging from 0 to 6 volts across conductive paper, the relationship between voltage and electric field is clarified. The discussion emphasizes that electric field lines are also perpendicular to equipotential lines. The original poster initially struggled with the problem but ultimately found a solution. Understanding these concepts is crucial for analyzing electric fields and potentials in physics.
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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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