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
hammer [34]
3 years ago
7

The resistivity of a metal increases slightly with increased temperature. This can be expressed as rho= rho0[1+α(T−T0)] , where

T0 is a reference temperature, usually 20°C, and α is the temperature coefficient of resistivity. For copper, α = 3.9× 10−3 ° C−1. Suppose a long, thin copper wire has a resistance of 0.25 Ω at 20°C.
At what temperature, in °C, will its resistance be 0.31 Ω?
Physics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

At 81. 52 Deg C its resistance will be 0.31 Ω.

Explanation:

The resistance of wire =R_T =\frac{\rho_T \ l}{A}

Where R_T =Resistance of wire at Temperature T

\rho_T = Resistivity at temperature T =\rho_0 \ [1 \ + \alpha\ (T-T_0\ )]

Where T_0 =20\ Deg\ C , \  \rho_0 = Constant,  \alpha =3.9 \times 10^-^3 DegC^-1 \ (Given)

l=Length of the wire

& A = Area of cross section of wire

For long and thin wire the resistance & resistivity relation will be as follows

\frac{R_T_1}{R_T_2}=\frac{\rho_0(1+\alpha \cdot(T_1-2 0 )}{\rho_0(1+\alpha \cdot (T_2 -20 )}

\frac{0.25}{0.31}=\frac{1}{[1+\alpha(T-20)]}

1.24=1+\alpha (T-20)

0.24=\alpha(\ T -20 )

Putting\ the\ value\ of \alpha = 3.9 \times 10^-^3 DegC^-1

T = 81.52 Deg C

You might be interested in
The case of Allan v. Adam was tried first in a court of first instance. The case was appealed to the intermediate state court of
mezya [45]
There are no more courts of appeal within the state system.
6 0
3 years ago
Read 2 more answers
The distance between two cities is 144km; it takes me 3 hours to travel between these cities. What average speed did I travel at
alexandr402 [8]

Answer:

48km/hr

Explanation:

Check attachment

3 0
3 years ago
When your food is placed under a warming light in a fast food restaurant, which type of electromagnetic waves are most likely us
8090 [49]

B is the answer i pretty sure...

3 0
3 years ago
Read 2 more answers
Ammonia is a covalent compound used in many cleaners. What is its chemical formula? N2O H2O NH3 HO3
Veseljchak [2.6K]
NH3 is the correct chemical formula
3 0
3 years ago
Read 2 more answers
Just think about this.
diamong [38]
This ain’t the place, bud. If you have a QUESTION, then you can post it here.
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is your opinion on Moonman? ( Do not delete this saying it is "racist". it is simply a character from a commercial called M
    10·1 answer
  • The density of mobile electrons in copper metal is 8.4 1028 m-3. Suppose that i = 4.6 1018 electrons/s are drifting through a co
    12·1 answer
  • A boy flies a kite with the string at a 30 degree angle to the horizontal. The tension in the string is 4.5N .
    7·1 answer
  • An 75-kg hiker climbs to the summit of Mount Mitchell in western North Carolina. During one 2.0-h period, the climber's vertical
    8·1 answer
  • In Converging and Diverging lenses all real images are
    7·2 answers
  • Is being social media famous worth real-life relationships?
    6·1 answer
  • What type of system is earth?<br> A.Closed<br> B.Open<br> C.Connected<br> D.Isolated
    12·1 answer
  • A garden hose has a radius of 0.0120 m, and water initially comes out at a speed of 2.88m/s. Dasha puts her thumb over the end ,
    5·1 answer
  • if a car is accelerating downhill under a net force of 3674 N, what additional force would cause the car to have a constant velo
    10·1 answer
  • Select the correct answer from each drop-down menu.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!