The potential in a region between x = 0 and x = 6.00 m is V = a + bx , where a =

Question

The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 11.6 V and b = -3.90 V/m.

magnitude 4 V/m direction 5---Select---+x-x The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 11.6 V and b = -3.90 V/m. (a) Determine the potential at x = 0. Determine the potential at x = 3.00 m. Determine the potential at x = 6.00 m. (b) Determine the magnitude and direction of the electric field at x = 0. Determine the magnitude and direction of the electric field at x = 3.00 m. Do you know of an example in which the electric potential is linear? What electric field generates such a potential? V/m Determine the magnitude and direction of the electric field at x = 6.00 m. If you know the electric potential in a region of space, how do you find the electric field there? V/m

Explanation / Answer

(a)x=0 V=11.6+0*-3.9=11.6 x=3 V=11.6-3.9*3=-0.1 (b)E=-dV/dx=3.9 direction is +x x=3 E=3.9 as it is independent of distance direction is +x same is at x=6

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