A cylindrical capacitor has an inner conductor o 1 radius 2.6 mm and an outer co

Question

A cylindrical capacitor has an inner conductor o 1 radius 2.6 mm and an outer conductor of radius 3.3 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.3 m long. What is the capacitance per unit length? C/L = pF/m The potential of the inner conductor relative to that of the outer conductor is 370 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. Q_1 = The potential of the inner conductor relative to that of the outer conductor is 370 mV Find the charge (magnitude and sign) on the otter conductor. Express your answer with the appropriate units. Q_2 =

Explanation / Answer

given

L = 2.3 m

a = 2.6 mm

b = 3.3 mm

a)
we know, Capacitnace of cyllindrical capacitor,

C = 2*pi*epsilon*L/ln(b/a)

C/L = 2*pi*epsilon/ln(b/a)

= 2*pi*8.854*10^-12/ln(3.3/2.3)

= 1.54*10^-10 F/m

= 154 pF/m

b) Q1 = C*V

= 154*10^-12*370*10^-3

= 5.70*10^-11 C

c) Q2 = -Q1

= -5.70*10^-11 C

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