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 = 11.0 V and b = -3.90 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 at x = 0.
magnitude....... V/m

-Determine the magnitude and direction of the electric field at x = 3.00 m.
magnitude........ V/m

-Determine the magnitude and direction of the electric field at x = 6.00 m.
magnitude.........V/m

Explanation / Answer

a. V = a + bx

at x= 0, V =a ===> V = 11 volts

at x= 3m, V = 11 - 3.9(3) ===> V = -0.7 volts

at x = 6m, V = 11- 3.9(6) ====> V = -12.4 volts

B. E = V/d at x = 0, E = infinity

at x= 3m, E = -0.7/3 E ===>0.233 V/m

at x= 6, E = -12.4/6 E ===> -2.06 V/m

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