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

Radius of inner conductor of a cylindrical capacitor, a = 2.1 mm
Radius of outer conductor, b = 3.5 mm .
The two conductors are separated by vacuum.
Length of entire capacitor,L = 2.2 m
The capacitance per unit length = C/L= 2pi(eo) /L* ln(b/a)

The capacitance per unit length = C/L= 2 x 3.14 x 8.85 x 10-12 /2.2 * ln(3.5/2.1)

The capacitance per unit length = C/L= 49.455 x 10-12 F
In two significant figure,
C/L = 49 pF

(b)
The potential of the inner conductor relative to that of the outer conductor is 350 mV .
The charge on both conductors, q =CV
q =(49.455 x 10-12) * 2.2 * 0.35

Charge on outer, q = +38 pC
Charge on inner, q = -38 pC

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.