Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m²/C¥acuum permitivity, €o = 8.854 × 10–12 F/nMagnetic Permeability of vacuum, µo = 12.566370614356 × 10-7 H/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 The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius r1 = 6 mmand outer hollow conducting tube with an inner radius of r2 = 36 mmThe length of the capacitor is L = 40 cmFigure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E = 7.0 voltsThere is no dielectric material present in the system as of now. Fig. 1 Fig.2 PartI a)Calculate the capacitance of this capacitor. capacitance Give your answer up to at least three significance digits. F b)Say the inner rod is negativelyharged. Given this, calculate the charge density of the outer surface. And show how the electric field lines are oriented in this system. Hint: you can use the cross section for this (Fig. 2). charge density of the outer surface Give your answer up to at least three significance digits. C/m?

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Kindly give the answer in 10 minutes in a clear and detailed handwriting. This is a whole question but i need only a and b of part 1. I will upvote if the answer is correct and I get it on time.

Note Following two parts of this questions are independent of each other. You need to consider each part sequentially connected to part (I) only. That
is,
sequence 1 ->
part (I) then part (II)
sequence 2 -> part (I) then part (III)
PartHght after part (I).
c) The battery remains connected to the capacitor and we insert a dielectric material between the rod and shell, replacing air completely. The dielectric
constant of the material is k = 4.3 At this point, calculate the total energy stored in the capacitor.
total energy stored.
Give your answer up to at least three significance digits.
PartIHght after part (1).
d)We disconnect the battery from the capacitor and then we insert a dielectric material between the rod and shell, replacing air completely. The
dielectric constant of the material is k as before. Now, how much energy is stored in the capacitor? Are the answers of (c) and (d) different from each
other? Briefly explain the reason.
energy stored
Give your answer up to at least three significance digits.
Transcribed Image Text:Note Following two parts of this questions are independent of each other. You need to consider each part sequentially connected to part (I) only. That is, sequence 1 -> part (I) then part (II) sequence 2 -> part (I) then part (III) PartHght after part (I). c) The battery remains connected to the capacitor and we insert a dielectric material between the rod and shell, replacing air completely. The dielectric constant of the material is k = 4.3 At this point, calculate the total energy stored in the capacitor. total energy stored. Give your answer up to at least three significance digits. PartIHght after part (1). d)We disconnect the battery from the capacitor and then we insert a dielectric material between the rod and shell, replacing air completely. The dielectric constant of the material is k as before. Now, how much energy is stored in the capacitor? Are the answers of (c) and (d) different from each other? Briefly explain the reason. energy stored Give your answer up to at least three significance digits.
= 8.854 × 10¬12 F /nMagnetic
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /CVacuum permitivity, €o
Permeability of vacuum, uo = 12.566370614356 x 10-7 H/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
The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius ri = 6 mmand outer hollow conducting tube with an
inner radius of r2 = 36 mmThe length of the capacitor is L = 40 cmFigure 2 is the cross sectional view of the system. This system of rod and shell is
connected to a voltage source of emf E = 7.0 voltsThere is no dielectric material present in the system as of now.
Fig.1
Fig. 2
PartI
a)Calculate the capacitance of this capacitor.
capacitance
Give your answer up to at least three significance digits.
F
b)Say the inner rod is negativelycharged. Given this, calculate the charge density of the outer surface. And show how the electric field lines are oriented
in this system. Hint: you can use the cross section for this (Fig. 2).
charge density of the outer surface
Give your answer up to at least three significance digits.
C/m?
Transcribed Image Text:= 8.854 × 10¬12 F /nMagnetic Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /CVacuum permitivity, €o Permeability of vacuum, uo = 12.566370614356 x 10-7 H/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 The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius ri = 6 mmand outer hollow conducting tube with an inner radius of r2 = 36 mmThe length of the capacitor is L = 40 cmFigure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E = 7.0 voltsThere is no dielectric material present in the system as of now. Fig.1 Fig. 2 PartI a)Calculate the capacitance of this capacitor. capacitance Give your answer up to at least three significance digits. F b)Say the inner rod is negativelycharged. Given this, calculate the charge density of the outer surface. And show how the electric field lines are oriented in this system. Hint: you can use the cross section for this (Fig. 2). charge density of the outer surface Give your answer up to at least three significance digits. C/m?
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