The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius r1=7mm and outer hollow conducting tube with an inner radius of r2=29mm. The length of the capacitor is L=32cm . Figure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E=6.4volts. There is no dielectric material present in the system as of now. K- Fig-2 Partl a) Calculate the capacitance of this capacitor. b) Say the inner rod is negatively charged. 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?
The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius r1=7mm and outer hollow conducting tube with an inner radius of r2=29mm. The length of the capacitor is L=32cm . Figure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf E=6.4volts. There is no dielectric material present in the system as of now. K- Fig-2 Partl a) Calculate the capacitance of this capacitor. b) Say the inner rod is negatively charged. 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?
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Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
Transcribed Image Text:The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with
radius r1=7mm and outer hollow conducting tube with an inner radius of r2=29mm. The
length of the capacitor is L=32cm . Figure 2 is the cross sectional view of the system. This
system of rod and shell is connected to a voltage source of emf E=6.4volts . There is no
dielectric material present in the system as of now.
Fig.1
Fig-2
Partl
a) Calculate the capacitance of this capacitor.
b) Say the inner rod is negatively charged. 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?
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