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
WARRIOR [948]
3 years ago
7

A metal wire has a circular cross section with radius 0.800 mm. You measure the resistivity of the wire in the following way: yo

u connect one end of the wire to one terminal of a battery that has emf 12.0 V and negligible internal resistance. To the other terminal of the battery you connect a point along the wire so that the length of wire between the battery terminals is d. You measure the current in the wire as a function of d. The currents are small, so the temperature change of the wire is very small. You plot your results as I versus 1/d and find that the data lie close to a straight line that has slope 600 A⋅m.
Required:
What is the resistivity of the material of which the wire is made?
Physics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

The value is   \rho  =  4.02 *10^{-8} \  \Omega \cdot m

Explanation:

From the question we are told that

   The radius is  r =   0.800 mm = 0.0008 \ m

   The voltage of the battery is  emf  =  12.0 V

    The slope is  s =  600 \ A \cdot m

Generally the resistance is mathematically represented as

     R  =  \frac{\rho *  d }{A }

Generally the current is mathematically represented as

      I = \frac{V}{R}

=>    I = \frac{V}{\frac{\rho *  d }{A }}

=>   I  =  \frac{V *  A }{\rho}  *  \frac{1}{d}

Comparing this equation to that of a straight line we see that the slope is  

      s =  \frac{V *  A }{\rho}

So    600  =  \frac{V *  A }{\rho}

Here A is the cross-sectional  area of the wire which is mathematically represented as

        A =  \pi r^2

=>       A =  3.142 *   (0.0008 )^2

=>       A =  2.011*10^{-6} \ m^2    

So

     600  =  \frac{12.0 *  (2.011*10^{-6}) }{\rho}

=>   \rho  =  \frac{12 * 2.011*10^{-6} }{600}

=>  \rho  =  4.02 *10^{-8} \  \Omega \cdot m

 

   

You might be interested in
How would you find the speed of a person who walked
Alex Ar [27]

Answer:

v = 1.25 m/s

Explanation:

We have,

Distance covered by a person is 10 meters

Time taken by him to cover that distance is 8 seconds.

If we want to find the speed of a person, we must know distance covered by it and taken. In this case, we know both distance and time. His speed is given by :

v=\dfrac{d}{t}\\\\v=\dfrac{10\ m}{8\ s}\\\\v=1.25\ m/s

So, the speed of the person is 1.25 m/s.

4 0
3 years ago
Which is the wavelength of a wave that travels at a speed of 3.0 × 10^8 m/s and has a frequency of 1.5 × 10^16 Hz?
k0ka [10]

Answer:

2 x 10^-8

Explanation:

the formula of wavelength is

the speed divided by frequency

so you have the speed given = 3.0x10^8m/s

and frequency = 1.5×10^16 Hz

so wavelength = 3.0x10^8m/s / 1.5x10^16 Hz

7 0
3 years ago
A firefighter with a weight of 756 N slides down a vertical pole with an acceleration of 2.96 m/s2, directed downward. What are
Katen [24]

Answer:

a) F = 527.65 N, Force applied is upwards.

b)F = - 527.65 N, where, negative sign depicts Force is applied downwards.

Explanation:

Data provided:

Weight of the firefighter = 756 N

Mass of the firefighter = 756/9.8 = 77.14 Kg

Acceleration, a = 2.96 m/s²

a) In the absence of the pole the firefighter would have been moving down with an acceleration of 9.8 m/s (i.e the acceleration due to the gravity), but due to the presence of the pole the acceleration of the firefighter has been reduced. thus, a force is applied by the pole on the firefighter to reduce the acceleration.

therefore, we have

F = ma(net) = 77.14 × (9.8-2.96) = 527.65 N, Force applied is upwards.

B) According to the Newton's third law, the force will be equal and opposite to the force in the part a)

thus, we have

F = - 527.65 N

3 0
3 years ago
why does a car slide when it rolls over an icy patch on a road? A. cars have more momentum on icy surfaces. B. there is less fri
Vaselesa [24]
The answer is B
because if you compare a regular road and ice... ice is smoother and therefore has less friction 
6 0
3 years ago
Read 2 more answers
Pls answerrrrr thisssss
Jobisdone [24]

The amplitude of wave-c is 1 meter.

The speed of all of the waves is (12meters/2sec)= 6 m/s.

The period of wave-a is 1/2 second.

4 0
3 years ago
Other questions:
  • Calculating the Force of friction
    13·1 answer
  • How do base-isolators, the rubber and steel pads under some buildings, reduce earthquake damage?
    8·2 answers
  • Which type of reaction has the general formula of AB + CD → AD + CB?
    12·1 answer
  • If a running system has a total change in heat of 295 joules, and it's running at a temperature of 402 kelvin, what is the entro
    11·1 answer
  • An inductor with an inductance of 2.30H and a resistance of 8.00 Ω isconnected to the terminals of a battery with an emf of 6.00
    8·1 answer
  • If multiple measurements are taken and they vary quite a bit from each other, the measurements are
    15·2 answers
  • The following are ways to properly manage your stress except
    6·1 answer
  • A 0.300 kg mass is attached to
    10·1 answer
  • True or False: the longer the hail stone is<br> kicked around by updrafts the larger it<br> gets.
    13·1 answer
  • Which reaction is mainly responsible for the cause of energy radiation from the sun?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!