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¬19 C. Mass of one electron, me = 9.10938356 × 1031 kg. Unless 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 qi = 33 nC, 92 = 29 nC, q3 = 17 nC and q4 = -46 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)

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Kindly give me a detailed answer in a clear handwriting of subpart (a). I am attaching the full question but I only need (a). All the questions are related. I only have few minutes kindly give the ans ASAP. I will upvote if the answer is correct and answered soon. Thank you.

8.854 × 10-12 F/m. Magnitude
9.10938356 × 10-31 kg. Unless specified otherwise, each
Use the following constants if necessary. Coulomb constant, k =
8.987 × 10° N · m² /C². Vacuum permitivity, €o =
1.60217662 × 10¬19 C. Mass of one electron, me
of the Charge of one electron, e =
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 = 33 nC,
92 = 29 nC, q3 = 17 nC and q4 = -46 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 = 6 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. m?/C
Transcribed Image Text:8.854 × 10-12 F/m. Magnitude 9.10938356 × 10-31 kg. Unless specified otherwise, each Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C². Vacuum permitivity, €o = 1.60217662 × 10¬19 C. Mass of one electron, me of the Charge of one electron, e = 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 = 33 nC, 92 = 29 nC, q3 = 17 nC and q4 = -46 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 = 6 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. m?/C
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