Explanation Given data: The length of the coaxial resistor is l . The inner radius of coaxial resistor is a . The outer radius of coaxial resistor is b . The conductivity of the material from r = 0 to r = a is σ 1 . The conductivity of the material from r = a to r = b is σ 2 . Calculation: The standard expression for the resistance of the conductor is, R = l σ A ( Ω ) (1) Here, R is the resistance of the conductor. A is the circular cross sectional area of the conductor. σ is the conductivity of the material. The resistance of the inner and outer material of the coaxial resistor is in parallel with each other. So, the total resistance R of the conductor is, 1 R = 1 R inner + 1 R outer (2) Here, R inner is the resistance of the material from r = 0 to r = a . R outer is the resistance of the material from r = a to r = b . Write the standard expression for the area of circular cross section. A = π r 2 (3) Here, r is the radius of the circular cross-section. For area of inner circle A inner , Substitute a for r and A inner for A in the above equation. A inner = π a 2 For area of outer circle A outer , Substitute ( b − a ) for r and A outer for A in the equation (3). A outer = π ( b − a ) 2 For the resistance of inner circle R inner , Substitute π a 2 for A and σ 1 for σ in equation (1)

Fundamentals of Applied Electromagnetics (7th Edition)

7th Edition

ISBN: 9780133356816

Author: Fawwaz T. Ulaby, Umberto Ravaioli

Publisher: PEARSON

See similar textbooks

Concept explainers

Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the…

Question

Chapter 4, Problem 44P

To determine

The proof that the resistance of the coaxial resistor with its end capped with conducting plate is l[π(σ1a2+σ2(b2−a2))].

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 43P

Chapter 4, Problem 45P

Students have asked these similar questions

Draw the equation USE BY HAN

Problem a. (i) Sketch the ideal power curve of the turbine with the following characteristics: • rated speed is 14 m/s ⚫rated power is 1.25 MW ⚫ cut-in speed is 5 m/s ⚫furling or cut-out speed is 20 m/s (ii) Given part (i), calculate the energy produced in one day if the wind blows continuously between 15 and 20 m/s all day (iii) Can the energy produced in one year be determined if you are told that the average wind speed is 14 m/s? Explain why.

Problem b. Suppose an anemometer mounted at a height of 10 m with a 20-m/s average wind speed (i) Estimate the average wind power at a height of 10 m, assuming Rayleigh statistics and under the following weather conditions • 15°C (ii) Suppose a 1300-kW wind turbine with 60-m rotor diameter is located in those winds with speed computed in the first condition of part (i). Determine the annual energy production with a 30% wind turbine efficiency (iii) Evaluate the wind turbine capacity factor

Chapter 4 Solutions

Fundamentals of Applied Electromagnetics (7th Edition)

Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQ Ch. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...

Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQ Ch. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQ Ch. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQ Ch. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQ Ch. 4.6 - Prob. 18CQ Ch. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13E Ch. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15E Ch. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQ Ch. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQ Ch. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQ Ch. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2P Ch. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7P Ch. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9P Ch. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15P Ch. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20P Ch. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22P Ch. 4 - Prob. 23P Ch. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26P Ch. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30P Ch. 4 - Prob. 31P Ch. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33P Ch. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44P Ch. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56P Ch. 4 - Prob. 57P Ch. 4 - Prob. 58P Ch. 4 - Prob. 59P Ch. 4 - Prob. 60P Ch. 4 - Prob. 61P Ch. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P

Knowledge Booster

Learn more about

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

The proof that the resistance of the coaxial resistor with its end capped with conducting plate is l [ π ( σ 1 a 2 + σ 2 ( b 2 − a 2 ) ) ] .

Concept explainers

The proof that the resistance of the coaxial resistor with its end capped with conducting plate is l[π(σ1a2+σ2(b2−a2))].

Want to see the full answer?

Chapter 4 Solutions