Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where 91 = 17 nC, q2 = 37 nC, q3 = 23 nC and q4 = -18 nC and a = 20 cm. 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 centre of the square due to all four charges. c) Consider a spherical Gaussian surface of radius r = 6 meters centred around the centre of the square. What is the total electric flux through the surface?

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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
91 = 17 nC, q2 = 37 nC, q3 = 23 nC and q4 = -18 nC and a = 20 cm.
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 centre of the square due to all four charges.
c) Consider a spherical Gaussian surface of radius r = 6 meters centred around the centre of the square. What is the total electric flux
through the surface?
Transcribed Image Text:Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where 91 = 17 nC, q2 = 37 nC, q3 = 23 nC and q4 = -18 nC and a = 20 cm. 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 centre of the square due to all four charges. c) Consider a spherical Gaussian surface of radius r = 6 meters centred around the centre of the square. What is the total electric flux through the surface?
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