ENGR_217_HW_2

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ENGR 217 Homework #2: Coulomb Force and Electric Field 1. Three point charges lie along the x-axis. The first charge, q 1 , has a magnitude of +10.00 nC and is at the origin. The second charge, q 2 , has a magnitude of -4.00 nC and is at x=3.00 cm. The third charge, q 3 , is located at x=1.00 cm. If the net force on q 1 is zero, what must q 3 be? 2. There are two point charges placed along the y-axis. The first charge, q 1 , has a magnitude of +6.00 nC and is placed at y= 0.400 m. The second charge, q 2 , is +8.00 nC and is located at y=-.200 m. What is the total force, both magnitude and direction, of these two charges on point charge q 3 = -10.00 nC located at the origin?

3. Two equal charges, q 1 and q 2 , have a magnitude of +2.00 nC and are located as shown in the figure below. What is the total electric force, both magnitude and direction, that both exert on a third charge q 3 = -4.00 nC also depicted in the figure? 4. Using the figure provided below, what is the total electric force that is exerted on charge q 3 from the other two point charges? Please provide the answer in vector notation.

5. Three negative point charges lie along the y-axis. The first charge, q 1 = -4.00 nC, lies at y = 10.00 cm. The second charge, q 2 = -1.00 nC, lies at the origin. The third charge, q 3 = -4.00 nC, lies at y = -10.00 cm. What is the electric field at point P that lies on the x-axis at x=8.00 cm? 6. There is a point charge, q 1 = -5.00 nC, located at (0.800 m, 1.00 m) and a second point charge, q 2 = +7.00 nC, located at (0.800 m, 0.00 m). What is the magnitude and direction of the net electric field at the origin as a result of the presence of these two charges.

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7. A point charge is placed at every corner of a rectangle with a length of 2x and a width of x. All of the charges have the same magnitude of q. The two charges at the top of the rectangle are positive with the two charges at the bottom being negative. What is the magnitude of the net electric field at the middle of the rectangle in terms of k, x and q?

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