1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulijaS [17]
3 years ago
5

A copper wire and a tungsten wire of the same length have the same resistance. What is the ratio of the diameter of the copper w

ire to that of the tungsten wire.
Physics
1 answer:
spayn [35]3 years ago
8 0

Answer:

Therefore the ratio of diameter of the copper to that of the tungsten is

\sqrt{3} :\sqrt{10}

Explanation:

Resistance: Resistance is defined to the ratio of voltage to the electricity.

The resistance of a wire is

  1. directly proportional to its length i.eR\propto l
  2. inversely proportional to its cross section area i.eR\propto \frac{1}{A}

Therefore

R=\rho\frac{l}{A}

ρ is the resistivity.

The unit of resistance is ohm (Ω).

The resistivity of copper(ρ₁) is 1.68×10⁻⁸ ohm-m

The resistivity of tungsten(ρ₂) is 5.6×10⁻⁸ ohm-m

For copper:

A=\pi r_1^2 =\pi (\frac{d_1}{2} )^2

R_1=\rho_1\frac{l_1}{\pi(\frac{d_1}{2})^2 }

\Rightarrow (\frac{d_1}{2})^2=\rho_1\frac{l_1}{\pi R_1 }......(1)

Again for tungsten:

R_2=\rho_2\frac{l_2}{\pi(\frac{d_2}{2})^2 }

\Rightarrow (\frac{d_2}{2})^2=\rho_2\frac{l_2}{\pi R_2 }........(2)

Given that R_1=R_2   and    l_1=l_2

Dividing the equation (1) and (2)

\Rightarrow\frac{ (\frac{d_1}{2})^2}{ (\frac{d_2}{2})^2}=\frac{\rho_1\frac{l_1}{\pi R_1 }}{\rho_2\frac{l_2}{\pi R_2 }}

\Rightarrow( \frac{d_1}{d_2} )^2=\frac{1.68\times 10^{-8}}{5.6\times 10^{-8}}   [since R_1=R_2   and    l_1=l_2]

\Rightarrow( \frac{d_1}{d_2} )=\sqrt{\frac{1.68\times 10^{-8}}{5.6\times 10^{-8}}}

\Rightarrow( \frac{d_1}{d_2} )=\sqrt{\frac{3}{10}}

\Rightarrow d_1:d_2=\sqrt{3} :\sqrt{10}

Therefore the ratio of diameter of the copper to that of the tungsten is

\sqrt{3} :\sqrt{10}

You might be interested in
sports photographers often use large aperture, long focal length lenses. what limitations do these lenses impose on the photogra
Brut [27]

Answer:

The depth of focus achievable with those lenses is small.

Explanation:

A larger aperture makes it much harder to focus on more than one object. When using a telephoto lens (the ones the question is referring to), the depth of focus is very small. For example, using a telephoto lens to take a photo of a runner might get the runner in focus, but certainly not the track, or the audience behind them. If you look at photos, especially older photos, of Olympians in almost any sport you can see this.

Hope this helps!

6 0
3 years ago
When does the transfer of thermal energy end?​
Dahasolnce [82]

Answer:

I think when the object transferring the thermal energy reaches the same temp as the object absorbing it

Explanation:

6 0
3 years ago
The earth is composed of four layers three of these layers are solid and only one is liquid which layer exits in the liquid stat
Vladimir [108]

Answer:

The outer core is a liquid

Explanation:

The outer core is a fluid composed of iron and nickel

7 0
3 years ago
Read 2 more answers
If we interpret the large, angular rocks to have originated from the outcrop at the top of the hill, we are using __________ rea
IrinaK [193]

The reasoning which is in use when large, angular rocks are interpreted to have originated from the outcrop at the top of the hill is; Fossil succession

<h3>Fossil succession of rocks</h3>

The principle of fossil succession in characterized by the fact that fossil entities succeed one another upward through rock layers in a definite and determinable order.

On this note, any time period can be dated by its fossil content.

Read more on fossil succession;

brainly.com/question/2631497

3 0
2 years ago
Help me!!!!!!!!!!!!!!!!!!!!!!!
Gemiola [76]

Answer:a computer , machine forcery,0,push

Explanation:

8 0
2 years ago
Other questions:
  • A high-jumper, having just cleared the bar, lands on an air mattress and comes to rest. Had she landed directly on the hard grou
    14·1 answer
  • a teacher pushed a 10-kg desk across a floor for a distance of 5 m she exerted a horizontal force of 20 N how much work is done
    15·2 answers
  • 3X10^4 electrons move from the carpet to your foot. What type of charge do you now have? How much charge in coulombs do you have
    14·2 answers
  • On which factor does the inertia of rest depends​
    5·1 answer
  • A fly ball was caught by the third baseman and thrown to first base at a speed
    8·1 answer
  • A scientist noticed that a dark-colored peppered moth is more visible on a light-colored background than a light-colored peppere
    7·2 answers
  • The velocity of a particle traveling along a straight line is v = Vo − ks where k is constant. If s=0 when t=0, determine the po
    11·1 answer
  • Which of the following equations are balanced correctly?
    14·1 answer
  • katniss shoots an arrow horizontally frok a height of 1.8m. if the arrows initial velocity is 32m/s , how far will the arrow tra
    8·1 answer
  • Define First Condition of Equilibrium ??​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!