A cylindrical capacitor consists of a solid conducting cylinder with a radius of 0.260 cm and a coaxial conducting tube around it. There is air between the conductors and the length of the cylinder is 12.5 cm. If the capacity of the device is 38.5 pF; Part A: Calculate the inner radius of the outer tube.(r=?) Part B: What is the stored charge per unit length, λ when the shaver is loaded with 130 V? (λ=?

A cylindrical capacitor consists of a solid conducting cylinder with a radius of 0.260 cm and a coaxial conducting tube around it. There is air between the conductors and the length of the cylinder is 12.5 cm. If the capacity of the device is 38.5 pF; Part A: Calculate the inner radius of the outer tube.(r=?) Part B: What is the stored charge per unit length, λ when the shaver is loaded with 130 V? (λ=?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 79P: (a) Will the electric field strength between two parallel conducting plates exceed the breakdown...

See similar textbooks

Similar questions

Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, (a) what is the potential difference between the plates? (b) What is the potential difference between the positive plate and a point 1.25 cm from it that is between the plates?
In Fig. 1, two parallel-plate capacitors (with air between theplates) are connected to a battery. Capacitor 1 has a plate areaof 1.5 cm2and an electric field (between its plates) ofmagnitude 2000 V/m. Capacitor 2 has a plate area of 0.70 cm2and an electric field of magnitude 1500 V/m. What is the totalcharge on the two capacitors?
A wire with a negligible diameter is coaxial with a very thin cylindrical shell of radius R=4.79cm. Both are composed of an insulating material, and for practical purposes, they are infinitely long. The wire has a uniform linear charge density, λ1=−112pC/m, and the cylinder has a linear charge density, λ2=+531pC/m, that is uniformly distributed around its circumference. a. If r is the distance from the wire, then what is the magnitude, in newtons per coulomb, of the electric field at r=3.08cm. b. If r is the distance from the wire, then what is the magnitude, in newtons per coulomb, of the electric field at r=8.81cm.
A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 1.95 cm and that the wire along the axis has a diameter of 0.210 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 106 V/m. Use the equation 2?rℓE =qin/?0 to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. [Image] A cross-section of a Geiger-Mueller tube shows an inner anode of radius rb and charge density ? and an outer cathode of radius ra and charge density −?.
A long cylindrical insulating shell has an inner radius of a=1.43 m and an outer radius of b=1.63 m. The shell has a constant charge density of 1.6×10−9 C/m3. The picture shows an end-on cross-section of the cylindrical shell. A) What is the magnitude of the electric field at a distance of r=1.89 m from the axis? for this I got 33.939 N/C which was wrong. C) If we take the potential at the axis to be zero, what is the electric potential at the outer radius of the shell? for this I got 3.463 V which was wrong
A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 3.40 cm and that the wire along the axis has a diameter of 0.205 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 106 V/m. Use the equation 2?rℓE = qin ?0 to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas.
Which of the following statements is not true about a conductor in electrostatic equilibrium? a. The net charge inside the conducting material is zero. b. If the conductor has any excess charge, it will reside solely on the surface or boundaries of the conductor. c. The electric field at the surface of a conductor is tangent to the surface everywhere. d. The electric potential every inside the conducting material is constant. e. The electric field at the surface of the conductor is normal to the surface everywhere.
A uniform electric field of E0 is established in an airfilled capacitor with plate area A and plate separation d . If an uncharged metallic slab of thickness d/3 is placed between the plates as shown, what is the electric field E 1 in Region 1? Does capacitance increase or decrease?
Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres and making R2 so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m electric field near the surface of the Earth. If R1 is 10 cm, how small does R2 need to be, and does this seem practical? (Hint: recall the calculation for electric field at the surface of a conductor from Gauss’s Law.)
4) (a)Using the Gauss law find the electric field of an infinite conductor planewith charge density σ.(b)Using the result in part (a) calculate the capacitance of a capacitor made oftwo conducting plane of 2 m2 area and with charge density σ = 9.6 C/m 2 andthese conducting planes are separated with a distance 0.1 mm and there isAluminium oxide as the dielectric between two plates. *Take gravitational constant g =10 m/s2.
a) Will the electric field strength, E, between two parallel conducting plates exceed the breakdown strength for air (3·106 Vm) if the plates are separated by 2.3 mm and a potential difference of 4800 V is applied? Determine this by calculating the electric field strength between two parallel conducting plates. b) How close together can the plates be with this applied voltage before the air breaks down?
Suppose in (Figure 1) that x = 0.180 mm, and that the uniformly charged wire is only 6.10 mm long and extends along the y-axis from y= -3.60 mm to y = +2.50 mm. The total charge of the wire is Q = 2.74 μC. a) Calculate Ex and Ey at point P (give values in newtons per coulomb).b) Determine what the error would be if you simply used the result for a very long wire, E=λ/2πϵ0x . Express this error as (Ex−E)/E and Ey/E Express your answers as percentage to two significant figures .