The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 10.6 V and b = -4.90 V/m. (a) Determine the potential at x = 0. 10.6 V Determine the potential at x = 3.00 m. V (b) 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

a)

When x =  0 m, V = 10.6 - 4.90*(0) = 10.6 V

When x =  10 m, V = 10.6 - 4.90*(10) = -38.4 V

When x =  6 m, V = 10.6 - 4.90*(6) = -18.8 V

When x =  3.00 m, V = 10.6 - 4.90*(3.00) = -4.1 V

b)

Explanation:

a) If V = a + bx , and a = 10.6 V and b = -4.90 V/m we have:

When x =  0 m, V = 10.6 - 4.90*(0) = 10.6 V

When x =  10 m, V = 10.6 - 4.90*(10) = -38.4 V

When x =  6 m, V = 10.6 - 4.90*(6) = -18.8 V

When x =  3.00 m, V = 10.6 - 4.90*(3.00) = -4.1 V

b) The electric field is:

In this particular case E depends only of b, it means E is a constant value. Therefore, E = 4.9 V/m when x = 0 m and when x = 3.00 m.

I hope it helps you!

v=ir = 3x15 =45 v

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles