3. 0/4 points I Previous Answers GioCP2 17.P.021 Three charges with q = +8.3 C a

Question

3. 0/4 points I Previous Answers GioCP2 17.P.021 Three charges with q = +8.3 C are located as shown in the figure below, with L = 34 cm. (a) What are the magnitude and direction of the total electric force on the charge at the bottom? magnitude direction o counterclockwise from the +x-axis (b) What are the magnitude and direction of the total electric force on the charge at the right? magnitude direction counterclockwise from the +x-axis Need Help? Read It Talk to a Tutor Submit AnswerSave Progress Practice Another Version

Explanation / Answer

Let A be the point on - x axis, B on + x axis and C on - y axis. D is a point on AB and is mid point of AB

We see that

(1) in triangle ADC AD = DC = l and also ADC = 90° , ACB = 90°.

(2) AY = (2) ( 0.34 ) = 0.48 m

Hence Force of repulsion on C due to A

=> F(AC) = [ 1 / (4.) ] [ 8.3 x 8.3 x 10¯¹² / (0.48)² ] N = 9 x 10 x [ 8.3 x 8.3 x 10¯¹² / (0.48)² ]

=> F(AC) = 2.68 N Along AC

Similarly F(BC) = 2.68 N Along BC

Both of these forces are equal in magnitude and at right angles to each other.. Therefore their Resultant force F will act towards DC. Such that --

F = [ 2(2.68²) ]

=> F = 2 [ 2.68 ] = 3.79 N

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