The potential in a region between x = 0 andx = 6.00 m is V = a + bx wherea = 14.

Question

The potential in a region between x = 0 andx = 6.00 m is V = a + bx wherea = 14.0 V and b =-6.70 V/m.
(a) Determine the potential at x =0.
___________ V
Determine the potential at x = 3.00 m.
___________ V
Determine the potential at x = 6.00 m.
___________ V

(b) Determine the magnitude and direction of the electric field atx = 0.
V/m Direction: +x or -x

Determine the magnitude and direction of the electric field atx = 3.00 m.
V/m Direction: +x or -x

Determine the magnitude and direction of the electric field atx = 6.00 m.
V/m Direction: +x or -x

Explanation / Answer

a) V = 14-6.7x at x =0, V = 14V at x = 3m, V = 14-(6.7*3) = -6.1V at x = 6m, V = 14-(6.7*6) = -26.2V b)E = -dV/dx = 6.7V.m the magnitude and direction of the electric field at x = 0: 6.7V/m, +x the magnitude and direction of the electric field at x = 3m: 6.7V/m, +x the magnitude and direction of the electric field at x = 6m: 6.7V/m, +x

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