# Lec-5 - Previous Lecture The potential difference between...

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Previous Lecture The potential difference between points a and b is the work per unit charge to move a test charge from a to b : V b V a = Z b a E · d l . The line integral is independent of the path. Sometimes we pick a reference point P and define the potential of any point b as the difference in potential between b and the reference point: V b = Z b P E · d l . Lecture 5, September 12, 2011 – p.

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Today V and E Start Chapter 24: Capacitance and Dielectrics – p.
V and E The electric field E determines the potential V : V b = Z b P E · d l . – p.

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V and E The electric field E determines the potential V : V b = Z b P E · d l . The potential V determines the electric field E : E = −∇ V – p.
The Gradient Operator means “gradient”: = ˆ i ∂x + ˆ j ∂y + ˆ k ∂z The gradient turns a scalar function f ( r )= f ( x, y, z ) into a vector function: f = µ ˆ i ∂x + ˆ j ∂y + ˆ k ∂z f = ˆ i ∂f ∂x + ˆ j ∂f ∂y + ˆ k ∂f ∂z – p.

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## This note was uploaded on 10/13/2011 for the course PHYS 021 taught by Professor Hickman during the Fall '08 term at Lehigh University .

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Lec-5 - Previous Lecture The potential difference between...

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