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 = 17. 2 V and b = - 4. 10 V/m. 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 Determine the magnitude and direction of the electric field at x = 0. Magnitude V/m direction Determine the magnitude and direction of the electric field at x = 3. 00 m. magnitude V/m direction Determine the magnitude and direction of the electric field at x = 6. 00 m. magnitude

Explanation / Answer

V= a + bx = 17.2 - 4.1 x at x=0, V= 17.2 V at x= 3 , V= 4.9 V x= 6 , V= -7.4 V E= -dV/dr E= -d(a+bx)/ dx = 4.1 N/C or V/m since the field is constant, x= 0, 3, 6 , the field is same, 4.1 N/C or V/m

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