A cylindrical capacitor has an inner conductor with a radius of 2.1mm and an out

Question

A cylindrical capacitor has an inner conductor with a radius of 2.1mm and an outer conductor with a radius of 3.5mm . The two conductors are separated by vacuum, and the entire capacitor has a length of 2.2m .

Part A

What is the capacitance per unit length?

Express your answer using two significant figures.

Part B

The potential of the inner conductor relative to that of the outer conductor is 350mV . Find the charge (magnitude and sign) on both conductors.

Enter your answers numerically separated by a comma. Express your answers using two significant figures.

Explanation / Answer

a..Radius of inner conductor of a cylindrical capacitor= a = 2.1mm

Radius of outer conductor = b = 3.5mm .

The two conductors are separated by vacuum.Length of entire capacitor =L= 2.2 m

The capacitance per unit length = C/L= 2pi(eo)/ln(b/a)

The capacitance per unit length = C/L= 55.60619*10^-12/ln(3.5/2.1)

The capacitance per unit length = C/L= 55.60619*10^-12/0.89097
The capacitance per unit length = C/L= 1.0885 *10^-10 F
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b... The potential of the inner conductor relative to that of the outer conductor is 350 mV .

The charge (magnitude and sign) on both conductors= q =CV

q =( 1.085 *10^-10 )*2.2*0.35

Charge on outer= q = + 8.38145*10^-11 C

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