The potential in a region between x = 0 and x = 6 m is V = a + bx where a = 10 V

Question

The potential in a region between x = 0 and x = 6 m is
V = a + bx
where
a = 10 V b = -7 V/m.
a) What is the electric potential at x = 0, 3, and 6 meters? b) What is the magnitude and direction of the electric field at the same points Show work
The potential in a region between x = 0 and x = 6 m is
V = a + bx
where
a = 10 V b = -7 V/m.
a) What is the electric potential at x = 0, 3, and 6 meters? b) What is the magnitude and direction of the electric field at the same points Show work
The potential in a region between x = 0 and x = 6 m is
V = a + bx
where
a = 10 V b = -7 V/m.
a) What is the electric potential at x = 0, 3, and 6 meters? b) What is the magnitude and direction of the electric field at the same points Show work

Explanation / Answer

a) electric potential at x = 0

V(x=0) = a = 10 V

V(x = 3) = a+3b = 10 - 3*7 = -1 V

V(x = 6) = a + 6b = 10 - 6*7 = -32 V

b) E = - dV/dx

= - b

= -(-7) = 7 V/m

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