The potential in a region between x = 0 and x = 6.00 m is V = a + bx where a = 1

Question

The potential in a region between x = 0 and x = 6.00 m is V = a + bx where a = 14.0 V and b = -3.00 V/m. (a) Determine the potential at x = 0. The correct answer is not zero. V Determine the potential at x = 3.00 m. The correct answer is not zero. V Determine the potential at x = 6.00 m. The correct answer is not zero. V (b) Determine the magnitude and direction of the electric field at x = 0. The correct answer is not zero. V/m Determine the magnitude and direction of the electric field at x = 3.00 m. The correct answer is not zero. V/m Determine the magnitude and direction of the electric field at x = 6.00 m. The correct answer is not zero. V/m

Explanation / Answer

a) V(0) = a = 14V V(3) = 14-9 = 5V V(6) = 14 -18 = -2 V b) E = -dV/dx i = -b i = 3 V/m in x direction we see that E is independent of x and is constant in the region and is equal to 3V/m in +ve x direction

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