The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius ri = 6 mm and outer hollow conducting tube with an inner radius of r2 = 36 mm. The length of the capacitor is L = 40 cm. Figure 2 is the cross sectional view of the system. This system of rod and shell is connected to a voltage source of emf Ɛ = 7.0 volts. There is no dielectric material present in the system as of now. a) Calculate the capacitance of this capacitor. capacitance Give your answer up to at least three significance digits. 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 Give your answer up to at least three significance digits.

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Fig.2
Transcribed Image Text:Fig.2
The figure (Fig. 1) shows a long cylindrical capacitor
consists of a solid conducting core with radius
Ti = 6 mm and outer hollow conducting tube with an
inner radius of r2 = 36 mm. The length of the
capacitor is L = 40 cm. 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 = 7.0 volts.
There is no dielectric material present in the system as
of now.
a) Calculate the capacitance of this capacitor.
capacitance
Give your answer up to at least three significance digits.
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
Give your answer up to at least three significance digits.
Transcribed Image Text:The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with radius Ti = 6 mm and outer hollow conducting tube with an inner radius of r2 = 36 mm. The length of the capacitor is L = 40 cm. 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 = 7.0 volts. There is no dielectric material present in the system as of now. a) Calculate the capacitance of this capacitor. capacitance Give your answer up to at least three significance digits. 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 Give your answer up to at least three significance digits.
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