Find the potential difference between two points on the x-axis. The initial poin

Question

Find the potential difference between two points on the x-axis. The initial point is x1 = 1 m and the final point is x2 = 3 m.

008 10.0 points An electric field pointing in the positive x direction has an x component that varies with position as given by E1 = (3000 V/m3) x2. Find the potential difference between two points on the x-axis. The initial point is x1 = 1 m and the final point is X2 = 3 m. Answer in units of V Find the potential difference between two points on the x-axis. The initial point is x1 = 1 m and the final point is x2 = 3 m.

Explanation / Answer

dV = E*dx=

==> integrating

V= 3000*(x^3/3) = 1000*x^3

now putting the limits x=1 to x=3

==> DeltaV = 1000*(3^3-1^3) = 26000 V

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