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
Fiesta28 [93]
3 years ago
11

Calculate the ratio of the resistance of 12.0 m of aluminum wire 2.5 mm in diameter, to 30.0 m of copper wire 1.6 mm in diameter

. The resistivity of copper is 1.68×10−8Ω⋅m and the resistivity of aluminum is 2.65×10−8Ω⋅m.
Physics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer: 0.258

Explanation:

The resistance R of a wire is calculated by the following formula:

R=\rho\frac{l}{s}    (1)

Where:

\rho is the resistivity of the material the wire is made of. For aluminium is \rho_{Al}=2.65(10)^{-8}m\Omega  and for copper is \rho_{Cu}=1.68(10)^{-8}m\Omega

l is the length of the wire, which in the case of aluminium is l_{Al}=12m, and in the case of copper is l_{Cu}=30m

s is the transversal area of the wire. In this case is a circumference for both wires, so we will use the formula of the area of the circumference:

s=\pi{(\frac{d}{2})}^{2}  (2) Where d  is the diameter of the circumference.

For aluminium wire the diameter is  d_{Al}=2.5mm=0.0025m  and for copper is d_{Cu}=1.6mm=0.0016m

So, in this problem we have two transversal areas:

<u>For aluminium:</u>

s_{Al}=\pi{(\frac{d_{AL}}{2})}^{2}=\pi{(\frac{0.0025m}{2})}^{2}

s_{Al}=0.000004908m^{2}   (3)

<u>For copper:</u>

s_{Cu}=\pi{\frac{(d_{Cu}}{2})}^{2}=\pi{(\frac{0.0016m}{2})}^{2}

s_{Cu}=0.00000201m^{2}    (4)

Now we have to calculate the resistance for each wire:

<u>Aluminium wire:</u>

R_{Al}=2.65(10)^{-8}m\Omega\frac{12m}{0.000004908m^{2}}     (5)

R_{Al}=0.0647\Omega     (6)  Resistance of aluminium wire

<u>Copper wire:</u>

R_{Cu}=1.68(10)^{-8}m\Omega\frac{30m}{0.00000201m^{2}}     (6)

R_{Cu}=0.250\Omega     (7)  Resistance of copper wire

At this point we are able to calculate the  ratio of the resistance of both wires:

Ratio=\frac{R_{Al}}{R_{Cu}}   (8)

\frac{R_{Al}}{R_{Cu}}=\frac{0.0647\Omega}{0.250\Omega}   (9)

Finally:

\frac{R_{Al}}{R_{Cu}}=0.258  This is the ratio

You might be interested in
The only type of investigation that involves a control group is
OleMash [197]
<span>experimental? I hope that helps :)</span>
4 0
3 years ago
Read 2 more answers
A simple pendulum, 1.00 m in length, is released from rest when the support string is at an angle of 35.0 from the vertical. Wh
taurus [48]

Answer:

Explanation:

Length = 1.00 m

If the length is 1.0, the vertical distance pivot to bob is cos 35 = 0.819

At the lowest point, vertical distance is 1.0, so the change is the difference, 0.181 meter

The potential energy of that height is converted to kinetic energy of motion, which determines the speed.

PE = KE

mgh = ½mV²

V = √(2gh) = 1.88 m/s

7 0
3 years ago
vA child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0
ikadub [295]

Answer:

d = 2.26 km

Explanation:

Let the child is moving with speed same as the speed of water flow

So here the position of child with respect to flow must be zero

And if the boat start at an angle with the vertical

so its relative speed with flow of water is given as

v_x = 24.8 sin\theta

v_y = 24.8 cos\theta

now the time to reach the child is given as

\frac{0.6}{24.8 cos\theta} = \frac{2.5}{24.8 sin\theta }

so now we have

\theta = 76.5 degree

So the time to catch the child is given as

t = \frac{0.6}{24.8 cos78.2}

t = 0.104 h

So distance moved by it in 0.104 h

distance moved by the boat in upstream direction given as

x = (24.8 sin 74.8 - 3.1)(0.104)

x = 2.18 km

In y direction the displacement of boat is

y = 0.6 km

net displacement of the ball is given as

d = \sqrt{x^2 + y^2}

d = \sqrt{2.18^2 + 0.6^2}

d = 2.26 km

4 0
3 years ago
If the atomic number of an atom is 4 and the mass number is 9, then how many electrons does it have
miskamm [114]
The atomic number of an atom says how many protons it has. This number cant change, since the atomic number is what gives elements their identities (in the periodic table, at least).
The mass number, on the other hand, says how many protons AND neutrons the atom has (so, the sum of P+ and N0). So, electrons have nothing to do with this number.
Atoms are neutrally charged, which means there has to be an equal number of positive and negative particles. The negative particles of an atom are its electrons, and since our atom has 4 protons, it must also have 4 electrons.
5 0
3 years ago
n general, which trophic level has the LEAST energy available to it? A) producer B) primary consumer C) secondary consumer D) te
zaharov [31]
D - tertiary consumer

This is because it is the farther up to food chain.  
4 0
3 years ago
Other questions:
  • During a very quick stop, a car decelerates at 28.4 rad/s?. Assume the tires initially rotated in the positive direction and rad
    11·1 answer
  • The force of gravity depends on what
    10·1 answer
  • What happens to a star after it goes supernova? Does the remnant of the star form a dwarf star, neutron star, black hole, or som
    8·2 answers
  • Which statement describes how rays behave when they travel through media during reflection and refraction?
    8·2 answers
  • Kinetic friction is affected by the weight of the object. True or false?
    13·1 answer
  • There is an upper limit on the speed of a particle. This means there is also an upper limit on its
    6·1 answer
  • The unit of power is<br>Denved<br>Unit? Why​
    15·1 answer
  • Does anyone know how to work this out?
    13·1 answer
  • What are the three parts of the power phase? *
    14·1 answer
  • What factors affect the speed of a wave? Check all that apply.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!