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(33%) Problem 2: Point charges located at 3,8, and 11 cm along the x-axis are re

ID: 2037404 • Letter: #

Question

(33%) Problem 2: Point charges located at 3,8, and 11 cm along the x-axis are represented in the fi igure 0 5 10 x (cm -2q Otheexpertta.com what is the x-component of the force on the charge located at x-8 cm given that q-1.05 pC in N? Grade Summary Deductions Potential Fx29.981 20% 80% sin() cos0 cotan0 asinO acos0 atan0acotanO sinh0 coshO tanhO cotanhO Degrees O Radians Submissions Attempts remaining (20% per attempt) detailed view 78 9HOME 20% 0 END BACKSPACE EL CLEAR Submit Feedback I give up! Hints: 10% deduction per hint. Hints remaining: 3 Feedback: 10% deduction per feedback.

Explanation / Answer

Electrostatic force is given by:

F = kq1q2/r^2

direction of Force on charge at x = 8, due to q at x = 3 will be towards +ve x-axis and due to q at x = 11 will be towards -ve x-axis.

So Net force will be

Fnet = F1 - F2

Fnet = kq1q2/r1^2 - kq2q3/r2^2

q1 = q = q3, & q2 = -2q

r1 = 8 - 3 = 5 cm

r2 = 11 - 8 = 3 cm

Using these values:

F = k*q*2q/0.05^2 - k*q*2q/0.03^2

F = 2kq^2*(1/0.05^2 - 1/0.03^2)

F = 2*9*10^9*(1.05*10^-6)^2*(1/0.0025 - 1/0.0009)

F = -14.11 N

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