Question

1. A cylindrical conductor consisting of two different regions is given in the figure. In the cylinder, the $r \leq a$ region is filled with copper ($\sigma = 5.96 \times 10^7 S/m$) and the $a < r \leq b$ region is filled with aluminum ($\sigma =$ $3.5 \times 10^7 S/m$). The cylinder is positioned between $z =$ 0 and $z = L$. A DC voltage $V$ is applied between the ends of the cylinder. $(a = 2 \text{ mm}, b = 4 \text{ mm}, L = 1 \text{ km and } V = 10 \text{ V})$ a. (40 points) Calculate the resistance of the wire. b. (20 points) Calculate the total current $I$ flowing through the resistor. c. (20 points) Calculate the current density at aluminium region of the wire. d. (20 points) Calculate the power dissipated in the resistor by $VI = V^2/R$

          1. A cylindrical conductor consisting of two different
regions is given in the figure. In the cylinder, the $r \leq a$
region is filled with copper ($\sigma = 5.96 \times 10^7 S/m$) and
the $a < r \leq b$ region is filled with aluminum ($\sigma =$
$3.5 \times 10^7 S/m$). The cylinder is positioned between $z =$
0 and $z = L$. A DC voltage $V$ is applied between the ends
of the cylinder.
$(a = 2 \text{ mm}, b = 4 \text{ mm}, L = 1 \text{ km and } V = 10 \text{ V})$
a. (40 points) Calculate the resistance of the wire.
b. (20 points) Calculate the total current $I$ flowing
through the resistor.
c. (20 points) Calculate the current density at
aluminium region of the wire.
d. (20 points) Calculate the power dissipated in the resistor by $VI = V^2/R$

Show more…

1. A cylindrical conductor consisting of two different
regions is given in the figure. In the cylinder, the r ≤ a
region is filled with copper (σ = 5.96 × 10^7 S/m) and
the a < r ≤ b region is filled with aluminum (σ =
3.5 × 10^7 S/m). The cylinder is positioned between z =
0 and z = L. A DC voltage V is applied between the ends
of the cylinder.
(a = 2 mm, b = 4 mm, L = 1 km and V = 10 V)
a. (40 points) Calculate the resistance of the wire.
b. (20 points) Calculate the total current I flowing
through the resistor.
c. (20 points) Calculate the current density at
aluminium region of the wire.
d. (20 points) Calculate the power dissipated in the resistor by VI = V^2/R

Added by Julie F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

08/21/2022

Step 1

The resistance of the copper region (r <= a) can be calculated using the formula: \[ R_{copper} = \frac{\rho_{copper} \times L}{A_{copper}} \] where \[ \rho_{copper} = 15.96 \times 10^{-7} \Omega m \] (resistivity of copper) \[ L = 1km = 1000m \] (length of the Show more…

Show all steps

lock

Thanks for your feedback!

A cylindrical conductor consisting of two different regions is given in the figure. In the cylinder, the r<=a region is filled with copper (sigma )=(15.96 imes 10^(7)(S)/(m)) and the sigma ={(:3.5 imes 10^(7)(S)/(m))}z=z=LV(a)=2mm,b=4mm,L=1km and V=(10V) l. A cylindrical conductor consisting of two different regions is given in the figure. In the cylinder, the r<=a region is filled with copper =15.9610S/m and the a<r b region is filled with aluminum o= 3.510S/m. The cylinder is positioned between z= 0 and z =L. A DC voltage V is applied between the ends of the cylinder. a=2mm b=4mm, L=1km and V=10V a. 40 points Calculate the resistance of the wire b. 20 points Calculate the total current I flowing through the resistor. Copper Aluminium c. 20 points Calculate the current density at the aluminum region of the wire d. 20 points Calculate the power dissipated in the resistor by VI=V

Play audio

Feedback

Powered by NumerAI

Penny Riley and 60 other subject Physics 102 Electricity and Magnetism educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later