question archive What is the potential difference between xi = 2

What is the potential difference between xi = 2

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What is the potential difference between xi = 2.0 m and xf = 3.0 m ? Express your answer to two significant figures and include the appropriate units.

Ex (V/m) 200 100 100 x (m)

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Given data:
xi = 2.0 m and xf = 3.0 m

V(3.0m) - V(2.0m) = - ∫ E(x) dx

In graphical terms therefore, the potential difference equals the area under the graph of E versus x.

Here, between x=2.0m and x=3.0m that is (triangle)

1/2 * (3-2) * (100V/m - 0V/m) = 50 V