The radius and the length of the central wire in a Geiger tube are 0.160 mm and

Question

The radius and the length of the central wire in a Geiger tube are 0.160 mm and 15.0 cm, respectively. The outer surface of the tube is a conducting cylindrical shell that has an inner radius of 1.50 cm. . The shell is coaxial with the wire and has the same length (15.0 cm). The tube is filled with a gas that has a dielectric constant of 1.08 and a dielectric strength of 3.00 x 106 V/m. (a) What is the maximum potential difference that can be maintained between the wire and shell? kV (b) What is the maximum charge per unit length on the wire? nC/m eBook

Explanation / Answer

(A) V = E d

V_max = (3 x 10^6 V/m) (0.015 - 0.00016)

V_max = 44520 Volt

Or 44.5 kV  

(B) C = 2 pi e0 er L / ln(R/ r)

C = (2 x pi x 8.854 x 10^-12 x 0.15) / ln(1.50/0.016)

C = 1.838 x 10^-12 F

Q_max = C V_max = 81.8 x 10^-9 C

per unit length = 81.8 nC / 0.15 m

= 545.5 nC/m

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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