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
tatyana61 [14]
3 years ago
14

Wire sizes are often reported using the AWG (American Wire Gauge) system in which smaller diameter wires are said to be of highe

r gauge. Thus the thin 24-gauge wire included in many electronics kits has a wire diameter of 0.51 mm, while a thicker 12-gauge wire used for many home audio speakers has a wire diameter of 2.05 mm. Different gauge wires have different maximum current ratings, with thicker wires being capable of safely handling larger current.
A. Consider a meter of 24-gauge copper wire. Calculate the resistance of this wire.

B. Imagine that this 1-meter length of 24-gauge copper wire were laid across the terminals of an ideal 12-volt battery. Calculate the current that would run through the wire.

C. The maximum safe current rating for 24-gauge copper wire is 2.0 Amps. What is the shortest length of this wire that could be safely placed across the ideal 12-volt battery?
Physics
2 answers:
NISA [10]3 years ago
6 0

Answer:

Explanation:

24 - gauge wire , diameter = .51 mm .

Resistivity of copper ρ = 1.72 x 10⁻⁸ ohm-m

R = ρ l / s

1.72x 10⁻⁸ / [3.14 x( .51/2)² x 10⁻⁶ ]

= 8.42 x 10⁻² ohm

= .084 ohm

B )  Current required through this wire

= 12 / .084 A

= 142.85 A

C )

Let required length be l

resistance = .084 l

2 = 12 / .084 l

l = 12 / (2 x .084)

= 71.42 m

bulgar [2K]3 years ago
6 0

Answer:

Explanation:

diameter of 24 gauge wire = 0.51 mm

diameter of 12 gauge wire = 2.05 mm

A.

length of wire, l = 1 m

diameter of wire, d = 0.51 mm

radius of wire, r = 0.51 /2 = 0.255 mm

resistivity of copper, ρ = 1.7 x 10^-8 ohm metre

The formula for the resistance of wire is given by

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

where, l is the length of wire and A be the area of crossection of wire

A = πr² = 3.14 x 0.255 x 10^-3 x 0.255 x 10^-3 = 2.04 x 10^-7 m²

The resistance of wire is

R=1.7\times10^{-8}\frac{1}{2.04\times 10^{-7}}

R = 0.083 ohm

B.

R = 0.083 ohm

V = 12 V

Let the current is I.

Use ohm's law

V = I R

12 = I x 0.083

I = 144.6 A

C.

I = 2 A

V = 12 V

Area of wire, A = 2.04 x 10^-7 m²

Resistivity of wire, ρ = 1.7 x 10^-8 ohm metre

Let the length of the wire is l.

V = I R

12 = 2 x R

R = 6 ohm

6=1.7\times10^{-8}\frac{l}{2.04\times 10^{-7}}

l = 72 m

You might be interested in
A transverse sinusoidal wave on a string has a period T= 25.0ms and travels in the negative x direction with a speed of 30.0 m/s
aleksandrvk [35]

The wave is equation with the given conditions is y = 0.02 cos ( 0 )

<u>Given data</u>

period T= 25.0ms

speed of 30.0 m/s

t = 0

x = 0

transverse position of 2.00cm

speed of 2.0 m/s = v

<h3>writing the wave function </h3>

frequency f = 1 / T

f = 1 / 25

f = 0.04Hz

Angular velocity = ω = 2 * pi * f

ω = 2 * pi * 0.04

ω = 0.251

wave number K = ω / v

k = 0.251 / 2

k = 0.126

The wave equation

y = A cos (  kx + ωt )

this is equivalent to

y = 0.02 cos ( 0.126 * 0 + 0.251 * 0 )

y = 0.02 cos ( 0 )

Read more on wave equation here: brainly.com/question/28167443

#SPJ4

6 0
1 year ago
You drop an ice cube into an insulated bottle full of water and wait for the ice cube to completely melt. The ice cube initially
AVprozaik [17]

Answer:

T_{f}  = 17º C

Explanation:

This is a calorimetry problem, where heat is yielded by liquid water, this heat is used first to melt all ice, let's look for the necessary heat (Q1)  

Let's reduce the magnitudes to the SI system  

      Ice m = 80.0 g (1 kg / 1000 g) = 0.080 kg  

            L = 3.33 105 J / kg  

Water  M = 860 g = 0.860 kg  

           c_{e} = 4186 J / kg ºC

    Q₁ = m L  

     Q₁ = 0.080 3.33 10⁵

     Q₁ = 2,664 10⁴ J

Now let's see what this liquid water temperature is when this heat is released  

      Q = M c_{e} ΔT = M c_{e} (T₀₁ -T_{f1})  

      Q₁ = Q  

     T_{f1} = T₀₁ - Q / M ce  

     T_{f1} = 26.0 - 2,664 10⁴ / (0.860 4186)  

     T_{f1} = 26.0 - 7.40  

     T_{f1} = 18.6 ° C  

The initial temperature of water that has just melted is T₀₂ = 0ª  

The initial temperature of the liquid water is T₀₁= 18.6  

     m c_{e} T_{f} + M c_{e} T_{1} = M c_{e} T₀₁ - m c_{e} T₀₂o2  

         T_{f} = (M To1 - m To2) / (m + M)  

         T_{f} = (0.860 18.6 - 0.080 0) / (0.080 + 0.860)  

T_{f} = 17º C

 

gg

4 0
3 years ago
What is there for astronomical evidence of the light spectra?
Romashka-Z-Leto [24]

Answer:

From spectral lines astronomers can determine not only the element, but the temperature and density of that element in the star. The spectral line also can tell us about any magnetic field of the star. The width of the line can tell us how fast the material is moving. We can learn about winds in stars from this.

Explanation:

8 0
3 years ago
Read 2 more answers
Describe the flow of energy that causes heat to be produced
Neporo4naja [7]
It may be produced by 
<span>Most of us use the word ‘heat’ to mean something that feels warm, but science defines heat as the flow of energy from a warm object to a cooler object.</span><span>Actually, heat energy is all around us – in volcanoes, in icebergs and in your body. All matter contains heat energy.</span><span>Heat energy is the result of the movement of tiny particles calledatoms, molecules or ions in solids, liquids and gases. Heat energy can be transferred from one object to another, and the transfer or flow due to the difference intemperature between the two objects is called heat.</span><span>For example, an ice cube has heat energy and so does a glass of lemonade. If you put the ice in the lemonade, the lemonade (which is warmer) will transfer some of its heat energy to the ice. In other words, it will heat up the ice. Eventually, the ice will melt and the lemonade and water from the ice will be the same temperature. This is known as reaching a state of thermal equilibrium.</span>Moving particles<span>Matter is all around you. It is everything in the universe – anything that has both mass andvolume and takes up space is matter. Matter exists in different physical forms – solids, liquids and gases.</span>All matter is made of tiny particles called atoms, molecules and ions. These tiny particles are always in motion – either bumping into each other or vibrating back and forth. It is the motion of particles that creates a form of energy called heat (or thermal) energy that is present in all matter.<span>Image: Particles in collision</span>The particles in solids are tightly packed and can only vibrate. The particles in liquids also vibrate but are able to move around by rolling over each other and sliding around. In gases, the particles move freely with rapid, random motion.Transferring heat energy – particles in collision<span>At higher temperatures, particles have more energy. Some of this energy can be transmitted to other particles that are at a lower temperature. For example, in the gas state, when a fast moving particle collides with a slower moving particle, it transfers some of its energy to the slower moving particle, increasing the speed of that particle.</span><span>With billions of moving particles colliding into each other, an area of high energy will slowly transfer across the material until thermal equilibrium is reached (the temperature is the same across the material).</span>Changing states by heat transferFaster moving particles ‘excite’ nearby particles. If heated sufficiently, the movement of particles in a solid increases and overcomes the bonds that hold the particles together. The substance changes its state from a solid to a liquid. If the movement of the particles increases further in the liquid, then a stage is reached where the substance changes into a gas.Three ways of transferring heat energy<span><span>All heat energy, including heat generated by fire, is transferred in different ways:<span><span>Image: Convection</span><span>Image: Conduction</span><span>Image: Radiation</span></span></span><span>Convection transfers heat energy through the air (and liquids). As the air heats up, the particles move further apart and become less dense, which causes the air to rise. Cooler air below moves in and heats up, creating a circular motion. The warm air circles and heats the room.</span><span>Conduction transfers heat energy through one substance to another when they are in direct contact. The moving molecules of a warm material can increase the energy of the molecules in a cooler material. Since particles are closer together, solids conduct heat better than liquids or gases.</span><span><span>Radiation is the heat that we feel coming from a hot object. It warms the air using heat waves (infrared waves) that radiate out from the hot object in all directions until it is absorbed by other objects. Transfer of heat byradiation travels at the speed of light and goes great distances.</span><span>With a log fire, the air in the room above the fire is heated and rises to create convection currents. The heat felt directly from the fire is transmitted to us through radiation. Conduction helps to keep a fire going by transferring heat energy directly from the wood to neighbouring wood in the fire</span></span></span>An effect of heat – expansion<span>When gases, liquids and solids are heated, they expand. As they cool, they contract or get smaller. The expansion of the gases and liquids is because the particles are moving around very fast when they are heated and are able to move further apart so they take up more room. If the gas or liquid is heated in a closed container, the particles collide with the sides of the container, and this causes pressure. The greater the number of collisions, the greater the pressure.</span><span>Sometimes when a house is on fire, the windows will explode outwards. This is because the air in the house has been heated and the excited molecules are moving at high speed around the room. They are pushing against the walls, ceiling, floor and windows. Because the windows are the weakest part of the house structure, they break and burst open, releasing the increased pressure.</span>
7 0
3 years ago
How do greenhouse gases affect visible and infrared light?
Verizon [17]
Makes the temperature rise and causes radiation that is primarily absorbed by gasses and water vapor in the atmospher 
7 0
3 years ago
Other questions:
  • PULLEYS UNIT: HELP!
    7·1 answer
  • Which image shows both potential and kinetic energy
    5·2 answers
  • A parallel plate capacitor has circular plates with diameter D=21.5 cm separated by a distance d=1.75 mm. When a potential diffe
    11·1 answer
  • A deer is running from a mountain lion when it encounters a fence that is 1.50 m high. Seeing the fence, the deer jumps, leaving
    13·1 answer
  • Where would you find plants with stems that can store large amounts of water
    9·2 answers
  • Which of the following is considered a drawback to using wind energy as a source of power?
    14·1 answer
  • Motion is defined by how fast an object is moving? True False
    6·2 answers
  • Symbion pandora has a symbiotic relationship with the Norway lobster. True False
    7·1 answer
  • What is a good way to study guys for a science test Im in need because I have a quiz tmrw
    9·1 answer
  • A series circuit contains four resistors, two 1 ohm resistors and two 2 ohm resistors. If you
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!