9. The potential in a certain region varies according to the equation V(x) 2.4x

Question

9. The potential in a certain region varies according to the equation V(x) 2.4x + 0.4 sin ( 1.5x). Calculate the electric force exerted on a 1.4 C charge located at the point x 1.7 m. (1 point) A. (.1.69 N/Ci B. -0.992 N/Ci C. O-3.026 N / Ci D. O-1.275 N/Ci E. 0-2. 663 N/C i 10. The electric potential due to a certain distribution of charges varies with x according to the equation V (x)= 1.7/x-0.9/X2 Any charge will experience no electrical force if it is located at x = (1 point) A 1.953 m B. 1.658 m C 0.243 m D. 1059 m E. 0,403 m

Explanation / Answer

9)-2.663 N/C

explanation

Given,

V(x) = 2.4 x + 0.4 sin (1.5 x)

we know that

E = V/d

E = [2.4 x + 0.4 sin (1.5 x)]/dx = 0.6 cos(1.5 x) + 2.4

E(1.7) = 0.6 cos(1.5 x 1.7) + 2.4 = 1.902

F = q E

F = 1.4 x 1.902 = 2.663 N/C i

(E) -2.663 N/C

10)1.059

expalantion:

V(x) = 1.7/x - 0.9/x^2

E = d(1.7/x - 0.9/x^2)/dx = (1.8 - 1.7x)/x^3

F = q E = 0

q ((1.8 - 1.7x)/x^3)) = 0

x = 1.8/1.7 = 1.059 m

Hence, x = 1.059 m

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