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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N - m² /Cacuum permitivity, €o = 8.854 × 10-12 F/rMagnitude of the Charge of one electron, e = 1.60217662 × 10-19 CMass of one electron, me = 9.10938356 × 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb a a

Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N - m² /Cacuum permitivity, €o = 8.854 × 10-12 F/rMagnitude of the Charge of one electron, e = 1.60217662 × 10-19 CMass of one electron, me = 9.10938356 × 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb a a

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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N - m² /C&acuum permitivity, €o = 8.854 × 10-12 F/rMagnitude of the Charge of one electron, e = 1.60217662 × 10-19 CMass of one electron, me = 9.10938356 × 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb 93 a a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where q = 19 nC q2 = 43 nCq3 = 27 nCand q4 = -22 nand a = 21 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 = 6meters 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- m? /C
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N - m² /C&acuum permitivity, €o = 8.854 × 10-12 F/rMagnitude of the Charge of one electron, e = 1.60217662 × 10-19 CMass of one electron, me = 9.10938356 × 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb 93 a a Consider The rectangular arrangement of four point charges shown in Figure 1, where they lie on the corners of the rectangle where q = 19 nC q2 = 43 nCq3 = 27 nCand q4 = -22 nand a = 21 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 = 6meters 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- m? /C
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