A cylindrical capacitor has a capacitance per length of69.0 pF/m. (a) What is the ratio of the inner radius of the outer cylinderto the outer radius of the inner cylinder? (b) If the outer conductor carriescharge –8.62 nC per meter of length, what is the potential differencebetween the two conductors? Which conductor is at higher potential?

A cylindrical capacitor has a capacitance per length of69.0 pF/m. (a) What is the ratio of the inner radius of the outer cylinderto the outer radius of the inner cylinder? (b) If the outer conductor carriescharge –8.62 nC per meter of length, what is the potential differencebetween the two conductors? Which conductor is at higher potential?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter27: Capacitors And Batteries

Section: Chapter Questions

Problem 6PQ: According to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the...

See similar textbooks

Related questions

Q: z=-4.1 cm ve z=4.1 cm noktalarına yerleştirilmiş hava-boşluklu r=2 m yançaplı iki silindirik…

Q: Consider two capacitors of capacitances 2 µF and 3 µF. What is the minimum capacitance can we…

A: Given: The capacitors are 2 μF and 3 μF

Q: The equivalent capacitance of a corcuit is 2.5uF with a total potential difference of 12V. What is…

A: Capacitance (C) = 2.5 uF Potential difference ( V) = 12 v

Q: 400 Owhich copocitor plate is the positine plake,' What is the ebctric freld dinection ond…

Q: If we remove all connections to the capacitor (after initially charging it), what is the time…

A: Time constant is defined as τ=RCR→resistanceC→capacitance Capacitor will not discharge

Q: What is the minimum capacitance you can achieve by connecting a 9.39 F and a 4.4 F capacitor?

Q: The dielectric constants of SiO2, Si3N4, and Ta2Os, are about 3.9, 7.6, and 25, respectively. What…

Q: (1) Compute the equivalent capacitance of the network. 6 uF uF 6 uF 4 uF 4 uF 6 uF 6 uF 6 uF

Q: Find the total energy stored ( in units of mJ) in the group of capacitors shown below given that the…

A: Given: Capacitance of C1=50 μF=50×10-6 F, C2=10 μF=10×10-6 F, C3=20 μF=20×10-6 F Voltage across ab,…

Q: Assume that a cylindrical capacitor has diameter 5.0 cm and length 10.0 cm. Its capacitance is C =…

A: Given : d = 5 cm = 0.05 m r = d/2 = 0.05/2 = 0.025 m L = 10 cm = 0.10 m C = 2000 F Vmax = 2.9 V

Q: Find the total energy stored ( in units of mJ) in the group of capacitors shown below given that the…

Q: The above system is a parallel plate capacitor system, but in one of the conductor plates there…

A: Answer

Q: In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha…

Q: A capacitor is composed of 2 plates separated by a sheet of insulating material 2mm thick and of…

A: Original capacitance with one dielectric C1=k1ε0Ad1 New capacitance with two dielectrics…

Q: Find the total energy stored ( in units of mJ) in the group of capacitors shown below given that the…

Q: Will the electric field strength between two parallel conducting plates exceed the breakdown…

Q: Q5.A. Find the capacitance of a parallel-plate capacitor with dielectric of er 3.0 area 0.92 m² and…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

Q: An ideal parallel-plate capacitor has a capacitance of 78.5 pF. The rectangular plates of the…

Q: Q.LA parsilel plate capaciter with area A- 10 cn and plate separaticn d-Imm is filed with wo…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: The potential difference between the plates of the cylindrical capacitor is…

Q: Three capacitances are connected in parallel ?1 = 12 µF, ?2 = 10 µF and ?3 = 40 µF. What is the…

A: Given C1= 12 µF C2=10 µF C3= 40 µF

Q: The capacitance of a cylindrical capacitor can be increased by: 0* only by decreasing the length. O…

Q: The figure (Fig. 1) shows a long cylindrical capacitor consists of a solid conducting core with…

A: A capacitor is an electronic device used to store charge (; hence, electric energy) in an electric…

Q: Check Your Understanding The radius of the outer sphere of a spherical capacitor is five times the…

A: The capacitance of the spherical capacitor with the inner radius ra and the outer radius rb is given…

Q: What is the capacitance of the Earth, viewed as an isolated conducting sphere of radius 6370 km?

A: Given Radius R=6370000m

Q: A solid cylindrical conductor of radius 2.1 cm is coaxial with a cylindrical shell of negligible…

Q: Consider Earth to be a spherical conductor of radius 6400 km and calculate its capacitance.

Q: Two air-filled, parallel-plate capacitors are to be connected to a 10 V battery, first individually,…

Q: A capacitor of C = 12 microfards, with square shaped parallel plates, it is required in an…

A: The given data are: C=12 μF=12×10-6 Fr=0.5 mm=0.0005 mk=7.5

Q: What capacitance is required to store an energy of 10 kWhat a potential difference of 1000 V?

Q: Consider a uniform electric field of 50 N/C directed toward the east. If the voltage measured…

A: We need to calculate the potential of a point 1.0 m directly south of the given point.

Q: Calculate the total capacitance of three spherical capacitors with a value of 0.3-µF, 0.6-µF, and…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: The Electric Field is given as E=αe-ra0+βr+b0Where α,β,a0 and b0 are constants Now since potential…

Q: Two capacitors with 2.0 F and 3.0 F capacitance, respectively, are connected in series and…

A: Given data: Capacitance of capacitor 1 is, C1=2.0 F. Capacitance of capacitor 2 is, C2=3.0 F. Total…

Q: two circular plates, each of radius 0.3mm. How far apart should the plates be for the capacitance to…

Q: What is the equivalent capacitance of a 1 Farad capacitor and a 0.5 Farad capacitor in parallel?

A: Given: The first capacitance is C1=1 F. The second capacitor is C2=0.5 F. The expression for…

Q: A solid cylindrical conductor of radius 2.1 cm is coaxial with a cylindrical shell of negligible…

Q: In one of the classic nuclear physics experiments at the beginning of the twentieth century, an…

Q: A concentric cable has an external diameter of 12mm and the diameter of the conductor is 8mm. a) If…

Q: Assuming that the battery is 12V, and all capacitors are 4 nF, what is the charge on the top C after…

A: Voltage of battery = 12V

Q: A solid cylindrical conductor of radius 2.1 cm is coaxial with a cylindrical shell of negligible…

Q: Given that V=90 V, find the equivalent capacitance of the system

Q: Compute for the capacitance of a sphere (C= 4πer) if its radius is 5 cm and the dielectric material…

A: To determine: The capacitance of the sphere Given: Radius of the sphere, r=5 cm=0.05 m Relative…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A cylindrical capacitor has a capacitance per length of
69.0 pF/m. (a) What is the ratio of the inner radius of the outer cylinder
to the outer radius of the inner cylinder? (b) If the outer conductor carries
charge –8.62 nC per meter of length, what is the potential difference
between the two conductors? Which conductor is at higher potential?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

According to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?
How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.50 kV at the surface?
Prove that radius of a spherical conductor of capacitance 1μF is 9km.
A capacitor of C = 12 microfards, with square shaped parallel plates, it is required in an electrical application. If a dielectric material of thickness 0.5mm and relative permittivity = 7.5 is available, determine the dimensions of the sides of the plates?
If the capacitance is 47μF, and the voltage difference across the capacitor terminals is 6V, then the charge stored in that capacitor is:
What is the equivalent capacitance of the system and the charge stored in the 3.00 µF capacitor?
Two capacitors, empty inside, and with a capacitance of 2μF, are arranged in parallel and connected to an emf of 9V, reaching electrostatic balance without disconnecting the emf, and a dielectric (k=2.5) is introduced that occupies the entire capacitor. . Determine, for the capacitor that was left empty, the change in electric charge (ΔQ), the stored energy, the magnitude of the electric field vector and the energy density. The distance of the plates is 2.5mm.
What is the equivalent capacitance of a 1 Farad capacitor and a 0.5 Farad capacitor in parallel?
Compute for the capacitance, in picofarads, of the cylindrical capacitor of inner and outer radii 2 cm and 9 cm, respectively,using a dielectric of relative permittivity 3.09. The capacitor is 28 long.
What is the capacitance of a parallel-plate capacitor in-branch segment AB has a plate area of 3.0 mm2 and separated with the distance of 1.75 mm is filled with Bakelite whose dielectric constant is 4.9.?
Given that V=90 V, find the equivalent capacitance of the system
A capacitor is constructed with a plate separation of 0.0003755m and the electric field between the two plates is measured to be 4768.6V/m.What is the capacitance (in F) if each plate collects Q=59.0uC?