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Three point charges are located on a circular arc

18/11/2021 Client: muhammad11 Deadline: 2 Day

Introductory Physics Electrostatics Practice Problems Spring Semester

1. In the picture at the right, calculate the net force (magnitude and

direction) on π‘ž1.

2. Two objects separated by a distance of 1.75 m have charges +𝑄

and +3𝑄. A third charge π‘ž is placed in-between the two positive

charges so they are all on a line. Where should π‘ž be placed so that

it is in equilibrium with the other two charges? Give your answer

as a distance measured from charge +𝑄.

3. Three point charges are located on a circular arc (π‘Ÿ = 3.80 cm) as

shown on the right. First find the electric force (magnitude and

direction) exerted on a βˆ’5.07 nC charge placed at position P. Then

remove that charge and find the total electric field (magnitude and

direction) at point P. (Adapted from Problem #26 in your book.)

4. Two charges (π‘ž1 = +8.0 πœ‡πΆ and π‘ž2 = βˆ’3.0 πœ‡πΆ) are separated by a distance of 1.0 m. Where along

the line connecting the two charges is the net electric field equal to zero? Give your answer as a

distance measured from π‘ž2.

5. Charge 𝑄1 = +50 πœ‡πΆ is positioned at π‘₯ = βˆ’26 cm, while charge 𝑄2 = βˆ’50 πœ‡πΆ is positioned at

π‘₯ = +26 cm. What is the net electric field (magnitude and direction) at the xy-coordinate

(0, +30) cm?

Answers:

1) 23 N, 24Β° above +x; 2) 0.641 m; 3) 1.01 Γ— 10βˆ’4 N to the left, 1.99 Γ— 104 N/C to the right;

4) 1.6 m; 5) 3.7 Γ— 106 N/C to the right

Question #1

Question #3

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