Consider the rectangular arrangement of four-point charges shown in Figure 1, where they lie on the corners of the rectangle where q1=59nC, q2=10nC, q3=47nC, and q4=−20nC and a=30cm. a) Calculate how much work is required to set up the arrangement if the charges are initially infinitely far apart and were at rest. (Hint: Use the relation between work done by the external agent and total electrical potential energy of the system) b) Calculate the potential at the center of the square due to all four charges. c) Consider a spherical Gaussian surface of radius r=2 meters centered around the center of the square. What is the total electric flux through the surface?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Consider the rectangular arrangement of four-point charges shown in Figure 1, where they lie on the corners of the rectangle where q1=59nC, q2=10nC, q3=47nC, and q4=−20nC and a=30cm.

a) Calculate how much work is required to set up the arrangement if the charges are initially infinitely far apart and were at rest. (Hint: Use the relation between work done by the external agent and total electrical potential energy of the system)

b) Calculate the potential at the center of the square due to all four charges.

c) Consider a spherical Gaussian surface of radius r=2 meters centered around the center of the square. What is the total electric flux through the surface?

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