How long must a 0.54-mm-diameter aluminum wire be to have a 0.42 A current when connected to the terminals of a 1.5 V flashlight battery

Answers

Answer 1

Answer:

L = 30.85 m

Explanation:

First, we calculate the resistance of the wire by using Ohm's Law:

V = IR

where,

V = Potential Difference = 1.5 V

I = Current = 0.42 A

R = Resistance of Wire = ?

Therefore,

[tex]R = \frac{1.5\ V}{0.42\ A}\\\\R = 3.57\ Ohms[/tex]

Now, the cross-sectional area of wire will be:

[tex]Area = A = \frac{\pi d^{2}}{4}\\\\A = \frac{\pi (0.00054\ m)^{2}}{4}\\\\A = 2.29\ x\ 10^{-7}\ m^{2}[/tex]

Now, the resistance of the wire is given as:

[tex]R = \frac{\rho L}{A}\\\\L = \frac{RA}{\rho}[/tex]

where,

L = Length of Wire = ?

ρ = resistivity of aluminum = 2.65×10⁻⁸ Ohm.m

Therefore,

[tex]L = \frac{(3.57\ Ohms)(2.29\ x\ 10^{-7}\ m^{2})}{2.65\ x\ 10^{-8}\ Ohm.m}[/tex]

L = 30.85 m


Related Questions

why all traveller prefer to travel easily in the morning and night and not when the sun is hot​

Answers

Answer:

Travelers prefer to travel in morning because arthat time the temperature ️ is not too hot and they can easily travel here and there without any problem. and they also prefer to travel in night because moderate temperature ....

does the sabre-tooth currirulum still exist at present?give examples of your evidence​

Answers

Answer: Should the sabre tooth curriculum really exist at the moment? As far as I am concerned, the sabre tooth program should remain, because our school system needs to help people know how to do complex activities on their own and we let them do activities that will help them develop their brains as well as their skills.

Great schools promote better teaching because they have the most experience of teaching practice and are accountable for executing the instruction in the classroom. Teacher engagement is also vital for the effective and substantive implementation of the curriculum.

Sources: files.eric.ed.gov and James Kennedy Monash

liquids have higher coefficents of expansion than solids do in general. ture or false worth 29 points!

Answers

Answer:

true

Explanation:

The manufacturer of a 9V dry-cell flashlight battery says that the battery will deliver 20 mA for 80 continuous hours. During that time the voltage will drop from 9 V to 6 V. Assume the drop in voltage is linear with time. How much energy does the battery deliver in this 80 h interval

Answers

Answer:

17280 J or 17.28 kJ

Explanation:

Given that the voltage drop,

U = U2 - U1

U = 9 - 6

U = 3V

Also, we're told that the current, I is equal to 20 mA with the discharge time, t being 80 hrs.

Converting the time from h oi urs to seconds, we have

t = 80 * 3600

t = 288000

Now, to find the energy needed, we're going to use the formula

w = pt, where p = U * I

p = 3 * 20*10^-3

p = 60*10^-3

w = 60*10^-3 * 288000

w = 17280 J or 17.28 kJ

Therefore, the total energy the battery delivers in the 80 hrs is 17.28 kJ

(a) What is the electric field 4.00 m from the center of the terminal of a Van de Graaff with a 3.00 mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal?
______ N/C
(b) At this distance, what force does the field exert on a 2.00C charge on the Van de Graaff's belt?
_____ N

Answers

Answer:

a)   E = 1.69 10⁶6 N / C,  b)  F = 3.38 10⁶ N

Explanation:

a)  In this exercise using Gauss's law we can consider the charge of the generator sphere as if it were at its center, therefore the electric field is

          E = k [tex]\frac{q}{r^2}[/tex]

let's calculate

         E = 9 10⁹ 3.00 10⁻³ / 4²2

         E = 1.6875 10⁶ N / C

 

          E = 1.69 10⁶6 N / C

b) let's calculate the electric force

          F = q E

          F = 2.00 1.69 10⁶

          F = 3.38 10⁶ N

How long will it take a 200kg stationary man in space to travel 20m if he throws a 10 kg object at a velocity of 30m/s?

Answers

well honestly I just learned this today actually but you need to divide the Distance and speed and weight to figure out the time to reach the distance, well your welcome :)

Is inertia a force (will give brainleist for first answer)

Answers

Answer:

Yes.

Explanation:

Answer:

I do believe it is. (more characters for character limit)

Consider a length of pipe bent into a U-shape. The inside diameter of the pipe is 0.5 m. Air enters one leg of the pipe at a mean velocity of 100 m/s and exits the other leg at the same magnitude of velocity, but moving in the opposite direction. The pressure of the flow at the inlet and exit is the ambient pressure of the surroundings. Calculate the magnitude and direction of the force exerted on the pipe by the airflow. The air density is 1.23 kg/m3 .

Answers

Answer:

The magnitude of the force exerted on the pipe by the air is 4830 N and it acts horizontally

Explanation:

Given the data in the question;

from the Newton's second law of motion;

F = ma

where m is the mass, a is acceleration and F is the force exerted on the pipe due to the airflow in it

now in terns of mass flow;

F = [tex]m^{"}[/tex]V

where [tex]m^{"}[/tex] is the mass flow rate, V is the velocity(

so

[tex]m^{"}[/tex] = pAV

[tex]m^{"}[/tex] = p × ([tex]\frac{\pi }{4}[/tex] d² ) × V

where d is the diameter of the pipe( 0.5 m)

p is the density( 1.23 kg/m³ )

velocity v is 100 m/s

so we substitute

[tex]m^{"}[/tex] = 1.23 × ([tex]\frac{\pi }{4}[/tex] (0.5)² ) × 100

[tex]m^{"}[/tex] = 30.75 × [tex]\frac{\pi }{4}[/tex]

[tex]m^{"}[/tex] = 24.15 kg/s

Now lets write the equation for the force exerted on the pipe by the airflow

F = [tex]m^{"}[/tex]( V₁ - V₂)

where V₁ is velocity at inlet ( 100 m/s )

V₂ is velocity at exit ( - 100 m/s )

so we substitute

F = 24.15 ( 100 - (-100))

F = 24.15 × 200

F = 4830 N

The pipe is symmetric about horizontal axis so the force should also b acting only in the horizontal direction since any force component in the vertical direction is nullified due to this symmetry

Therefore, The magnitude of the force exerted on the pipe by the air is 4830 N and it acts horizontally

A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.520 and is submerged in ethyl alcohol, which has an index of refraction of 1.361. What is the critical angle (in degrees) for the light ray to remain inside the fiber

Answers

Answer:

θ = 63.5º

Explanation:

When a ray of light strikes the separation surface between two transparent media with different index of refraction, part of the light remains in the first medium, and part transmits to the second one , according to the Snell's Law, as follows:

       [tex]sin \theta_{i}* n_{i} = sin \theta_{r}* n_{r} (1)[/tex]

       where θi = angle of incidence  (with the normal to the surface)

                  θr = angle of refraction (with the normal to the surface)

                  ni = index of refraction of denser medium = 1.520

                  nr = index of refraction of less dense medium = 1.361

When the angle of refraction is equal to a right angle, this means that the light is parallel to the surface, and remains within the first medium completely.The angle of incidence for this particular angle, is called the limit angle, and is the principle of operation of fiber optics, which are composed by a strand of glass, surrounded with another material, which index of refraction is lower than the fiber's, preventing light to go outside the fiber.In our case, replacing ni, nr, and θr = 90º in (1), we get:[tex]sin \theta_{i}* 1.520 = 1* 1.361 (2)[/tex]Solving for sin θ₁ :

       [tex]sin \theta_{i} = \frac{1.361}{1.520} = 0.895 (3)[/tex]

       ⇒   θi = sin⁻¹ (0.895) = 63.5º


A high frequency sound will have a ?

Answers

Answer:

The frequency of a sound wave is what your ear understands as pitch. A higher frequency sound has a higher pitch and the lower the period

Answer:

High-frequency sound waves produce high-pitched sounds, and low-frequency sound waves produce low-pitched sounds.

A 80 Kg monkey climbs a 15 meter tree in half a minute. What is the magnitude of power the monkey demonstrated?
a. 13.1 J/S
b. 392 J/S
c. 784 J/s
d. 11760 J/s​

Answers

Answer:

Power = Work / Time

P = m g h / t = 80 kg * 9.8 m/s^2 * 15 m / 39 s = 320 N m/ s = 392 J / s

= 392 Watts

The magnitude of power the monkey demonstrated is equal to 392 J/S.

Power calculation

To measure the power of a given body, one must relate its weight, the displacement performed and the time in which the movement was performed, in such a way:

                                              [tex]P = \frac{m\times g\times d}{t}[/tex]

Thus, applying the values ​​given by the statement we have:

                                          [tex]P = \frac{80 \times 9.8 \times 15}{30}[/tex]

                                           [tex]P = 392 J/s[/tex]

So, the power performed by the monkey climbing 15 meters is equal to 392J/s.

Learn more about power in: brainly.com/question/8671146


What causes an electromagnet to create a magnetic field?

A.The Earth's magnetic field.

B.The poles are attracted to each other.

C.The iron is wrapped with a coiled wire.

D.There is a current flowing through the wire.

Answers

Answer:

D

Explanation:

Have a great day ;)

A ball is thrown up into the air. The time that it takes to go up equals

Answers

Answer:

The time it takes the ball to rise equals the time it takes to fall.

Explanation:

because what goes up at some point must come down

A monk is sitting atop a mountain in complete rest in meditation. What is the Kinetic
Energy of the monk? (assume mass of 65 kg and the mountain's height was 1000 m)
4,225,000
No Kinetic Energy - because there is no movement
637,000
65.000

Answers

Answer:

No kinetic energy-because there is no movement

Explanation:

It states that the monk is at complete rest so there is no movement.

all of the following elements will form ions by losing electrons except

aluminum
iron
sodium
oxygen

Answers

All form ions by losing electrons except oxygen.
Ok so iron aluminum and sodium never lose electrons because of the state of that “material” except oxygen because oxygen turns into carbon dioxide when exhaled so it’s oxygen

A polycondensation reaction takes place between 1.2 moles of a dicarboxylic acid, 0.4 moles of glycerol (a triol) and 0.6 moles of ethylene glycol (a diol). A.Calculate the critical extents of reaction for gelation using (i) the statistical theory of Flory and (ii) the Carothers theory.B.Comment on the observation that the measured value of the critical extent of reaction is 0.866.

Answers

Answer:

A) i) using statistical theory of floxy

(Pa)c = 0.816

(Pb)c = 0.816

ii) using Carothers theory

( Pc ) = 0.917

B) To Obtain the measured value of critical extent of reaction ( 0.866) 1 mol of Glycerol  will react with 1 mol of dicarboxylic acid, but the same can not be applied to our obtained value because our stoichiometry is different

Explanation:

Given data :

Polycondensation reaction takes place between : 1.2 moles of dicarboxylic acid , 0.4 moles of glycerol and 0.6 moles of ethylene glycol

A) Calculate the critical extents of reaction for gelation

i) using statistical theory of floxy

(Pa)c = 0.816

(Pb)c = 0.816

ii) using Carothers theory

( Pc ) = 0.917

attached below is the detailed solution

B) To Obtain the measured value of critical extent of reaction ( 0.866) 1 mol of Glycerol  will react with 1 mol of dicarboxylic acid, but the same can not be applied to our obtained value because our stoichiometry is different

why is a simple cell importable​

Answers

Simple cellll importable
Ikr
Answer:


Explanation:



Consider the following three concentric systems two thick shells and a solid sphere all conductors The radii in the increasing order are a b c d and e The small sphere is given an excess charge of 3 C and the smaller shell is given an excess charge of 7 C The larger shell is electrically neutral The system quickly comes to electrostatic equilibrium state a Note that there are 5 conducting surfaces What are the electric charges values and signs on the each of them Are these charges distributed uniformly

Answers

Answer:

Explanation:

From the given question, the small sphere was provided with an excess charge of +3 C, while the smaller shell was given an excess of -7 C, it should be -7 C and not 7 C.

So, in light of that, to determine the electric charges values & signs on each of them, we have:

on a = +3 C

on b = -7 C

on c = -7 C

on d = +3 C

on e = -7 C

Help me please I wrote some but I am still stuck

Answers

Answer:

write something like after the spacecraft launched all of the potential energy transformed into kinetic energy causing the spacecraft to go at an abnormal spped.

Explanation:

Friction occurs when microscopic hills and valleys stick together

true or false

Answers

Answer:

true

Explanation:

Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. Heavier objects also have more friction because they press together with greater force. Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy.

Explanation:

true but not going to copy and paste,

What is the difference between inertia and momentum?​

Answers

Inertia is the resistance offered by a body to the motion whereas momentum is the tendency of a body to continue moving.

10/12
11.
You drive the 10 miles to the mall at an average speed of 40 mph. On
the way home, you hit severe traffic and had to drive at an average
speed of 10 mph. What is your average speed for the trip?

Answers

25mph I hope this helps and sorry it took so long

Select the correct answer.
A car is moving at a constant speed along a straight line. Which statement is true about the forces acting on the car?
ОА.
The net force acting on the car from all directions is zero.
o
B.
The net force acting on the car is greater than the car's weight.
O c.
The net force acting on the car is in the direction of the car's motion.
OD.
The net force acting on the car is in the opposite direction of the car's motion.

Answers

Answer:

ОА.

The net force acting on the car from all directions is zero.

Explanation:

Constant speed along a straight line

It means constant magnitude of velocity without chainging direction

It means constant velocity. Which means acclecration is zero

By Newton's second law:

[tex]F=ma[/tex]

Net force is also zero

Find the moment of 300N force about B​

Answers

Answer:

300

Explanation Hope I'm not wrong.

An uncharged capacitor and a resistor are connected in series with a switch and a 12 V battery. At the instant the switch is closed, the voltage across the resistor is

Answers

Answer:

V = 12 V

Explanation:

Since a capacitor can't change the voltage between its plates  instantaneously, this means that just after the switch is closed, the voltage through the capacitor is zero.So, the current that flows in this moment is the same that would flow in a series circuit with only one resistor connected to the battery.Applying KVL to the circuit (neglecting the presence of the capacitor which can be replaced by a short circuit just after closing the switch), the voltage through the resistor must be equal to the one of the battery, i.e., 12 V.

can someone please answer this for me ❤️

Answers

Answer:

I don't understand the question

Explanation:

sorry I cant help because I am just a first former

How far can you get away from your little
brother with the squirt gun filled with
paint if you can travel at 3 m/s and you
have 15s before he sees you?
Know
Find
Equation
Solve

Answers

spray him in the eyes and you have until he washes it put

A battery connected to two wires in parallel. Both wires are made of the same material and are of the same length, but the diameter of wire A is twice the diameter of wire B.
True or False for the following:
1) The resistance of wire B is four times as large as the resistance of wire A.
2) The power dissipated in wire A is 16 times the power dissipated in wire B.
3) The voltage drop across wire B is larger than the voltage drop across wire A.
4) The resistance of wire B is twice as large as the resistance of wire A.
5) The current through the battery is five times larger than the current through wire B.

Answers

Answer:

true  1

2 is false   2. 3 . 4. 5  

Explanation:

For this exercise, let's calculate the different parameters and analyze the corresponding statements.

the resistance of each wire

         R = ρ [tex]\frac{L}{A}[/tex]

wire B.

has a diameter of d₀

therefore its radius is r₀ = d₀ / 2

the area is A = pi r₀²

                     A = π d₀²/ 4

we subtitle

          Ro = ρ [tex]\frac{L \ 4}{\pi d_o^2}[/tex]

          R_b = R₀

wire A

the diameter is d = 2d₀

therefore the radius is r = d/2

                        r = d₀

resistance is

              R_a = ρ [tex]\frac{L}{\pi d_o}[/tex]

   

              R_a = 4 R₀

when examining the answers

1 is true

4 is false

Now let's calculate the power

         P = V I

         V = I R

         P = V² / R

as they indicate that the cables are connected in parallel, the voltage in them is the same, therefore the potency depends on the resistance

         

wire B  

         P = V² / R_b

          P_b = V² / R₀

wire A

          P_a = v² / R_a

          P_a = V² / 4R₀

          P_a = ¼ P_b

2 is false

in a parallel circuit the waves are the same therefore

3 False

ohm's law is

         V = I r

         I = V / R

   

wire B

       I_b = V / R_b

       I_b = V / Ro

wire

       I_a = V / R_a

       I_a = V / 4 Ro

       I_a = ¼ I_a

5 is false

How is the chemical bonding within a molecule of carbon dioxide (CO2) different from the chemical bonding within a crystal of iron (Fe)?

A.
In an iron crystal, the atoms are joined by sharing electrons. In carbon dioxide, atoms of carbon and oxygen are held together by freely moving electrons.
B.
In a carbon dioxide molecule, atoms of carbon and oxygen are joined by sharing electrons. In an iron crystal, the atoms are held together by freely moving electrons.
C.
In an iron crystal, the atoms are joined by their opposite electrical charges. In carbon dioxide, atoms of carbon and oxygen are held together by freely moving electrons.
D.
In a carbon dioxide molecule, atoms of carbon and oxygen are joined by their opposite electrical charges. In an iron crystal, the atoms are held together by freely moving electrons.

Answers

Answer:

I'ts B

Explanation:

:p

The chemical bonding within a molecule of carbon dioxide (CO2) different from the chemical bonding within a crystal of iron (Fe) in a carbon dioxide molecule, atoms of carbon and oxygen are joined by sharing electrons. In an iron crystal, the atoms are held together by freely moving electrons. Therefore, option B is correct.

What is chemical bonding ?

The term chemical bonding is defined as the formation of a chemical bond between two or more atoms, molecules, or ions to form a chemical compound.

There are three main types of chemical bonding that are ionic bonding, covalent bonding, and metallic bonding.

The chemical bonding within a molecule of carbon dioxide (CO2) different from the chemical bonding within a crystal of iron (Fe) because in a carbon dioxide molecule, atoms of carbon and oxygen are joined by sharing electrons. In an iron crystal, the atoms are held together by freely moving electrons.

Thus, option B is correct.

To learn more about the chemical bonding, follow the link;

https://brainly.com/question/12907148

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Which choice describes a concern with wind energy?
O may harm bird and bat populations
o negative impact on river ecosystems
O turbines are cheaply made
O could interfere with pollen distribution

Answers

I think the best option would be that it would have a negative impact on river ecosystems

A concern which is related to the wind energy is that these could interfere with the pollen distribution. Thus, the correct option is D.

What is Wind energy?

Wind power or wind energy is mostly used in the wind turbines to generate electricity. The wind power is a popular, sustainable, renewable energy source which has a much smaller impact on the surrounding environment than that of burning fossil fuels.

Some disadvantages of wind energy include noise and visual pollution, wind power is not a remote power, and the effects or impact on the environment including interference with the pollen distribution.

Therefore, the correct option is D.

Learn more about Wind energy here:

https://brainly.com/question/29293441


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