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Two point charges are fixed on the y axis: a negative point charge q 1 = -33 ?C

ID: 1492232 • Letter: T

Question

Two point charges are fixed on the y axis: a negative point charge q1 = -33 ?C at y1 = +0.21 m and a positive point charge q2 at y2 = +0.32 m. A third point charge q = +8.0 ?C is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 22 N and points in the +y direction. Determine the magnitude of q2.

Two point charges are fixed on the y axis: a negative point charge q1--33 c at y1-+0.21 m and a positive point charge q2 at y2-+0.32 m. A third point charge q +8.0 HC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 22 N and points in the ty direction Determine the magnitude of q2 Number 0.00010785 the tolerance is +/-2% Units C

Explanation / Answer

F1 = kq1q2/y1^2

F2 = kq1q2 / y2^2

Fnet = F1 - F2

Fnet = K*q1*q2/y1^2 - K*q1*q2/ y2^2

q2 = (Fnet / kq + q2/y1^2)*y2^2

q2 = [22/8.99x10^9 * 8x 10^-6 + -33x 10^-6/0.21^2]0.32^2

q2 = [0.3056 x 10^6 + 748.3 x 10^-6]*0.32^2

q2 = 31.3 uC

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