Relations between Electric Field and Electric Potential

# Relations between Electric Field and Electric Potential -...

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Dr. Chang Relations between Electric Field and Electric Potential How to use the following equations to find the electric field E or electric potential? ΔV = – Ed  E = – ΔV/d This pair of equation can only be used if E is uniform and d is measured along the   direction of E . ΔV is the potential difference between two points, A and B, in the uniform E field. As always, ΔV is defined as V f – V i . Therefore ΔV can be + or – depending on whether you move from A to B or B to A. If you use these equations to find both magnitude and direction of E or V, you have to be very careful about how you treat d. If going from Point A to Point B is in the same direction as E, then the product Ed is positive and ΔV is negative. A B A and B separated by 5 m E = 500 V/m ΔV = – Ed = – (500)(5) = – 2,500 volts Since ΔV = V B – V A = – 2,500 volts, the electric potential at point A is therefore 2,500 volts higher than at point B. (Of course, you should know

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Relations between Electric Field and Electric Potential -...

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