A long coaxial cable, crossection of which is shown in the figure, is made up of a cylindrical inner wire of radius a and a cylindrical shell shaped coaxial outer wire of inner radius b and outer radius c. The current density with magnitude J = K- is spread over the cross section a of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = uka³ having into-the-page direction. a) Find the total current of the inner wire in in terms of i. Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a c)

A long coaxial cable, crossection of which is shown in the figure, is made up of a cylindrical inner wire of radius a and a cylindrical shell shaped coaxial outer wire of inner radius b and outer radius c. The current density with magnitude J = K- is spread over the cross section a of the inner wire where the current has out-of-page direction. Outer wire carries uniformly distributed current i = uka³ having into-the-page direction. a) Find the total current of the inner wire in in terms of i. Find expressions for the magnitude of magnetic field, b) inside the inner wire (r < a) c) between the wires (a c)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: What is the current in a wire of radius R= 3.7 mm if the magnitude of the current density is given…

Q: /s. What is (a) the magnitude of the current density and (b) direction of the current density J .(c)…

Q: In a wire with a 1.41 mm2 cross-sectional area, 8.51×1020 electrons flow past any point during 3.99…

Q: The figure below represents a section of a circular conductor of nonuniform diameter carrying a…

Q: The figure shows wire section 1 of diameter D1 = 5.50R and wire section 2 of diameter D2 = 4.00R,…

A: Given: The diameter of section 1 is 5.50R. The diameter of section 2 is 4.00R. The length L is 1.70…

Q: A long wire with a radius of 0.400 cm carries a current. The porential difference across a 3.60 m…

A: Given data: Radius (r) = 0.400 cm = 0.400×10-2 m Length (L) = 3.60 m Potential difference (V) =…

Q: A conducting sphere of radius a = 50 cm is grounded with a resistor R = 152 as shown below. The…

Q: A current-carrying ohmic metal wire has a cross-sectional area that gradually becomes smaller from…

A: Drift velocity is the average velocity of charged particles when an external electric field is…

Q: Problem 5: UP 9.31 Consider a wire of circular cross-section with a radius of R = 3.00 mm. The…

Q: The following graph represents the charge-discharge profile of a Li-ion battery in the 1st and 50th…

Q: You are given a wire of length I and cross-section area A. You put a potential difference of V…

Q: A long wire with a radius of 0.450 cm carries a current. The potential difference across a 3.20 m…

Q: The figure shows wire section 1 of diameter D₁ = 5.50R and wire section 2 of diameter D₂ = 4.00R,…

Q: The figure shows wire section 1 of diameter D₁ = 5.00R and wire section 2 of diameter D₂ = 3.50R,…

Q: A material of resistivity ρ is formed into the shape of a truncated cone of height it as shown in…

A: Resistance is defined as an opposition to flow of current. It depends on the type and area of the…

Q: e figure below represents a section of a circular conductor of nonuniform diameter carrying a…

Q: A hollow metal cylinder has inner radius a, outer radius b, length L, and conductivity σ. The…

A: Given:The inner radius is a=0.005 mThe outer radius is b=0.022 mThe length is L.=0.1 mthe current is…

Q: A current of I = 1.4 A is passing through a conductor with cross sectional area A = 4.5 × 10-4 m2.…

Q: The figure shows wire section 1 of diameter D1 = 5.50R and wire section 2 of diameter D2 = 4.0OR,…

A: Given that , For section 1 Diameter ,D1 = 5.50R ; Radius ,r1 = 2.75R For section 2 Diameter,D2 =…

Q: current of I = 1.4 A is passing through a conductor with cross sectional area A = 4.5 × 10-4 m2. The…

A: given that i = 1.4 Amp A=4.5 × 10-4 m2 n = 9.7 x 1027 m-3 we know that i = neA Vd

Q: In the figure current is set up through a truncated right circular cone of resistivity 731 02-m,…

A: The current i enters the truncated cone at left end and leaves at the right end. Let this represent…

Q: The figure below represents a section of a circular conductor of nonuniform diameter carrying a…

Q: The radii of the two concentric conductive spheres are r1 and r2>r1. The resistivity of the material…

A: We know the formula of resistance in terms of resistivity and area but here as we have two radii we…

Q: What is the current in a wire of radius R = 2.08 mm if the magnitude of the current density is given…

A: The current density relation is given as

Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

100%

A long coaxial cable, crossection of which is shown in the figure, is
made up of a cylindrical inner wire of radius a and a cylindrical shell
shaped coaxial outer wire of inner radius b and outer radius c. The
current density with magnitude J = K- is spread over the cross section
a
of the inner wire where the current has out-of-page direction. Outer wire
carries uniformly distributed current i = uka³ having into-the-page
direction.
a) Find the total current of the inner wire in in terms of i.
Find expressions for the magnitude of magnetic field,
b) inside the inner wire (r < a)
c) between the wires (a <r < b)
d) inside the outer wire (b <r < c)
e) outside the outer wire (r > c)

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

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

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

The current density of a silver wire is 3.20x106 A/m² . If the current and the drift velocity of the electrons through the wire is 2.00 A and 3.20x10-4 m/s respectively. . Part A - Find the diameter of the wire and the density of free electrons
What is the magnitude of the current density across A1? Is the current at A2 larger, smaller, or the same? Is the current density at A2 larger, smaller, or the same? Assume A2 = 2A1.
O Macmillan Learning Two insulated copper wires of similar overall diameter have very different interiors. One wire possesses a solid core of copper, with a circular cross section of radius 3.03 mm. The other wire is composed of 19 strands of thin copper wire bundled together. Each strand has a circular cross section of radius 0.606 mm. The current density J in each wire is the same. J = 1350 A/m² How much current does each wire carry? solid wire current: A solid wire resistance: The resistivity of copper is p = 1.69 × 10-8 Q.m. What is the resistance of a 1.75 m length of each wire? stranded wire current: Ω stranded wire resistance: A Ω
A wire has a current density of 7.09 x 10° A/m?. If the cross-sectional area of the wire is 2.11 mm², what current I does the wire carry? A. With this current, how much time t is required for 4.05 x 100 electrons to pass any point on the wire?
What is the current in a wire of radius R = 2.01 mm if the magnitude of the current density is given by (a) Ja = Jor/R and (b) Jb = Jo(1 - r/R) in which ris the radial distance and Jo = 6.22 x 104 A/m2? (c) Which function maximizes the current density near the wire's surface? (a) Number Units (b) Number Units (c)
A copper wire has a square cross section 2.9 mm on a side. The wire is 4.1 m long and carries a current of 3.7 A. The density of free electrons is 8.5 x 1028 m-3. Part A Find the magnitude of the current density in the wire. Express your answer in amperes per square meter. ΑΣφ ? J = A/m?
The vector current density of a 3m long and 3mm diameter conductor is given as 155630 A/m^2. Determine the curent on the conductor, its free electron density, the drift velocity of the charges and the number of electrons passing through the conductor for 3 seconds.