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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C2. Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = 1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where q1 = 50 nC, q2 = 51 nC, q3 = 34 nC and q4 = -24 nC and a = 12 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)

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C2. Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = 1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where q1 = 50 nC, q2 = 51 nC, q3 = 34 nC and q4 = -24 nC and a = 12 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)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the Charge of one electron, e = 1.60217662 × 10-19C. Mass of one electron, me = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means тіcro coulomb. 93 a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where qi = 50 nC, q2 = 51 nC, q3 = 34 nC and q4 = –24 nC and a = 12 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) Net workdone Give your answer to at least three significance digits. joules b) Calculate the potential at the centre of the square due to all four charges. Potential at the center Give your answer to at least three significance digits. volts c) Consider a spherical Gaussian surface of radius r = 7 meters centred around the centre of the square. What is the total electric flux through the surface? Total Electric Flux Give your answer to at least three significance digits. N. m² /C
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the Charge of one electron, e = 1.60217662 × 10-19C. Mass of one electron, me = 9.10938356 × 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means тіcro coulomb. 93 a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where qi = 50 nC, q2 = 51 nC, q3 = 34 nC and q4 = –24 nC and a = 12 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) Net workdone Give your answer to at least three significance digits. joules b) Calculate the potential at the centre of the square due to all four charges. Potential at the center Give your answer to at least three significance digits. volts c) Consider a spherical Gaussian surface of radius r = 7 meters centred around the centre of the square. What is the total electric flux through the surface? Total Electric Flux Give your answer to at least three significance digits. N. m² /C
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