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(17%) Problem 4: A charge of q-3.1 10-16 C is placed in a constant electric fiel

ID: 2034517 • Letter: #

Question

(17%) Problem 4: A charge of q-3.1 10-16 C is placed in a constant electric field of E-3.55i N/C. The charge is located at a distance r- 15 cm from the origin at an angle ? = 15° above the x-axis Otheexpertta.com 33% Part (a) Write an expression for the force, F , that the charge experiences in the x-direction, in terms of the charge q and magnitude of the electric field IEl. Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 0%per attempt) detailed view EI 0 Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback 33% Part (b) what is the force in the y-direction, Fy in Newtons? 33% Part (c) What is the magnitude of the force vector, IFI in N?

Explanation / Answer

Given,

q = 3.1 x 10^-16 C ; E = 3.55 i N/C ; r = 15 cm ; theta = 15 deg

a)The expression will be:

Fx = q E

magnitude will be:

Fx = 3.1 x 10^-16 x 3.55 = (1.1 x 10^-15 N)i

b)Force along Y will be zero since there is no electric field along y direction

Fy = 0

c)F = sqrt (Fx^2 + Fy^2)

lFl = sqrt [(1.1 x 10^-15)^2 +0^2] = 1.1 x 10^15 N

Hence, lFl = 1.1 x 10^-15 N