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(5%) Problem 9: The point charges are located at l, 5.8, and 14 cm along the x-

ID: 2034348 • Letter: #

Question

(5%) Problem 9: The point charges are located at l, 5.8, and 14 cm along the x- axis as represented in the Figure 10 x (cm) ?theexpertta.com ?50% Part (a) Find the total electric field at x-1.00 cm given that q-4.8 nC? E(x1 cm)-I Grade Summary 0% 100% Submissions Attempts remaining: 10 % per attempt) detailed view 0 Hint I give up Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback. @ a8 50% Part (b) Find the x-component of the total electric field, in newtons per coulomb, atx-11 cm in N/C.

Explanation / Answer

a)

Electric field due to point charge

E = kq / r^2

At 1 cm

E = -kq / (0.04)^2 - 3kq / (0.07)^2 + kq / (0.13)^2

E = -9 x 10^9 x 4.8 x 10^-9 (1/(0.04)^2 + 1/(0.07)^2 - 1/(0.13)^2)

E = -9 x 10^9 x 4.8 x 10^-9 x 1178.0733

E = -50892.766 N/C

b)

At x = 11 cm

E = kq / (0.06)^2 + k(3q) / (0.03)^2 + kq / (0.03)^2 - k(2q) / (0.10)^2

E = 9 x 10^9 x 4.8 x 10^-9 x (1/0.06^2 + 4/(0.03)^2 - 2/(0.10)^2)

E = 195359.998 N/C