The maximum torque on wire is 0.12 x [tex]10^{-3}[/tex] N-m.
We have current carrying wire in a form of a circle placed in a uniform magnetic field.
We have to find the maximum torque on the wire.
What is the formula to calculate the torque on a wire placed in a uniform magnetic field.The torque on a wire placed in a uniform magnetic field is given by -
[tex]$\tau = IAB\;sin\theta[/tex]
According to the question, we have -
Diameter of wire (D) = 10 cm
Therefore -
Radius of wire (r) = 5 cm = 1/20 meter.
Magnetic field (B) = 3 mT = 3 x [tex]10^{-3}[/tex] T
I = 5 A
Using the formula for torque -
[tex]$\tau = IAB\;sin\theta[/tex]
For maximum torque -
[tex]\theta[/tex] = 90
Therefore -
[tex]$\tau = IAB[/tex] = 5 x 3.14 x [tex]\frac{1}{20}[/tex] x [tex]\frac{1}{20}[/tex] x 3 x [tex]10^{-3}[/tex] = 0.12 x [tex]10^{-3}[/tex] N-m.
Hence, the maximum torque on wire is 0.12 x [tex]10^{-3}[/tex] N-m.
To solve more questions on Torque on wire, visit the link below-
https://brainly.com/question/13111267
#SPJ4
two particles, one with charge −3.77 μc and one with charge 6.91 μc, are 5.84 cm apart. what is the magnitude of the force that one particle exerts on the other?
The magnitude of the force that one particle exerts on the other = [tex]6.8644 \times 10^{13}[/tex] N
Charge of one particle,[tex]Q_1[/tex] = -3.77 μC
Charge of the other particle,[tex]Q_2[/tex] = 6.91 μC
The opposite signs of the charges implies the presence of force of attraction between the particles.
Given distance between particles, r = 5.84 cm = 0.0584 m
Coulomb's law states that the magnitude of the force exerted between two particles is directly proportional to the product of magnitude of charges of the particle and inversely proportional to the square of the distance between the particles.
From this we can infer the equation, [tex]F=\frac{kQ_1Q_2}{r^2}[/tex]
where F is the force between the particles and k =[tex]9\times 10^9 Nm^2C^{-2}[/tex] is the Coulomb's Constant.
So F = (9 x 10^9 x 3.77 x 6.91)/(0.0584 x 0.0584)
= [tex]6.8644 \times 10^{13}[/tex] N
Learn more about Coulomb's law at https://brainly.com/question/1698562
#SPJ4
One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280m, z = 0). (c) What If? A uniform electric field is applied to allow this particle to pass through this region unelected. Calculate the required vector electric field.
The vector electric field is [tex]-1.73 \times 10^{4} {~}\hat{j} {~}N/C[/tex] .
A stream of charged particles, such as electrons or ions, flowing through an electrical conductor or a vacuum is known as an electric current.
One long wire carries a current I = 30.0 A to the left along the x-axis. I' = 50.0 A of current is being carried by a second lengthy wire to the right along the line (y = 0.280 m, z = 0).
Now,
The charge of a particle is q = - 2.00 μC which is moving with a velocity of [tex]v = 150\hat{i} {~}Mm/s[/tex].
At y = 0.1 m the total magnetic field is:
B = 1.16 × 10⁻⁴ T
Then the force on the particle is:
F =q(v × B)
[tex]F = (-2 \times 10^{-6} )[ ( 150 \times 10^{6})\hat{j} \times (1.16 \times 10^{-4})\hat{k} ][/tex]
F = 3.47 × 10⁻² N
A uniform electric field is applied.
Then the vector electric field will be:
F = qE
3.47 × 10⁻² = (-2 × 10⁻⁶ )E
[tex]E = -1.73 \times 10^{4}{~}\hat{j} {~}N/C[/tex]
Learn more about current here:
brainly.com/question/1100341
#SPJ4
What is the displacement of the object from 12 seconds to 16 seconds ?
Answer:
Displacement is the distance between an object’s initial position and its final position and is usually measured or defined along a straight line. Since this is a calculation that measures distance, the standard unit is the meter (m).
Explanation:
A power supply is connected to an electric motor using two low resistance wires. the battery supplies 800 j of energy. how much of this energy will be transferred to the kinetic store of the motor?
The energy transfer to the kinetic store of the motor will be less than 800 J because some of the energy is dissipated in the surrounding.
A piece of electrical equipment that is used to supply power to the electrical load is called an electric power supply.
The basic objective of this device is to transfer power from the source to the consumer with the correct amount of voltage, frequency, and current.
Furthermore, this device transforms alternative current (AC) into low voltage direct current (DC).
It consists of four major elements: filter, transformer, regulator circuits, and rectifier.
To put it simply, a power supply transforms Ac voltage to DC voltage.
If you need to learn more about energy transfer click here:
https://brainly.com/question/2667612
#SPJ4
A wire is formed into a circle having a diameter of 10.0cm and is placed in a uniform magnetic field of 3.00mT . The wire carries a current of 5.00 A. Find (b) the range of potential energies of the wire-field system for different orientations of the circle.
The range of potential energies of the wire-field system for different orientations of the circle are -
θ U
0° 375 π x [tex]10^{-7}[/tex]
90° 0
180° - 375 π x [tex]10^{-7}[/tex]
We have current carrying wire in a form of a circle placed in a uniform magnetic field.
We have to the range of potential energies of the wire-field system for different orientations of the circle.
What is the formula to calculate the Magnetic Potential Energy?The formula to calculate the magnetic potential energy is -
U = M.B = MB cos [tex]$\theta[/tex]
where -
M is the Dipole Moment.
B is the Magnetic Field Intensity.
According to the question, we have -
U = M.B = MB cos [tex]$\theta[/tex]
We can write M = IA (I is current and A is cross sectional Area)
U = IAB cos [tex]$\theta[/tex]
U = Iπ[tex]r^{2}[/tex]B cos [tex]$\theta[/tex]
For [tex]$\theta[/tex] = 0° →
U(Max) = MB cos(0) = MB = Iπ[tex]r^{2}[/tex]B = 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =
375 π x [tex]10^{-7}[/tex].
For [tex]$\theta[/tex] = 90° →
U = MB cos (90) = 0
For [tex]$\theta[/tex] = 180° →
U(Min) = MB cos(0) = - MB = - Iπ[tex]r^{2}[/tex]B = - 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =
- 375 π x [tex]10^{-7}[/tex].
Hence, the range of potential energies of the wire-field system for different orientations of the circle are -
θ U
0° 375 π x [tex]10^{-7}[/tex]
90° 0
180° - 375 π x [tex]10^{-7}[/tex]
To solve more questions on Magnetic potential energy, visit the link below-
https://brainly.com/question/13708277
#SPJ4
) observer a, who is at rest in the laboratory, is studying a particle that is moving through the laboratory at a speed of v
The distance between the markers in the laboratory where the particle is produced and where it decays is 30.24m.
What is radioactive decay?
Radioactive decay, also known as nuclear decay, radioactivity, radioactive disintegration, or radioactive decay, is the process by which an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive. Alpha decay, beta decay, and gamma decay are three of the most frequent kinds of decay, and they all entail the emission of one or more particles. Beta decay is a result of the weak force, while the nuclear force and electromagnetism are in charge of the other two mechanisms. Electron capture, which occurs when an unstable nucleus seizes an inner electron from one of the electron shells, is the fourth prevalent kind of decay.
Explanation:
From the perspective of observer A, the particle had a lifetime of 112 ns and moved at a speed of 0.9c.
0.9c = 2.7e8 m/s
112 ns = 1.12e-7 s
Since we already know the time and speed from the viewpoint of observer A, we can use those to determine the distance from that viewpoint without the need for any modifications.
[tex]d=v*t=2.7e8*1.12e-7=30.24m[/tex]
To learn more about radioactive decay,visit:
https://brainly.com/question/1770619
#SPJ4
Technetium-99m is a radioactive isotope commonly used in medicine as a radioactive tracer. A radioactive tracer is an isotope injected into the body to help create images for diagnosis of health
problems. Technetium-99m has a half-life of 6 hours. If a patient receives a dose of technetium-99m one morning, about what percentage of the technetium-99m will be left in the patient's body 12
hours later?
A
6.25%
B
12.5%
С
25.0%
D
93.8%
Answer:
C. 25.0%
Explanation:
Radioactive decay of an atom follows the equation:
ln[A] = -kt + ln[A]₀
Where [A] could be taken as an amount of radioactive atom after time t,
k is rate constant = ln 2 / Half-Life = ln 2 / 6hours = 0.1155hours⁻¹
[A]₀ is initial amount of the isotope = 100%
Replacing:
ln[A] = -0.1155hours⁻¹ *12hours+ ln[100%]
ln[A] = 3.2192
[A] = 25.0%
Right solution is:
C. 25.0%
Review. A wire having a linear mass density of 1.00 g/cm is placed on a horizontal surface that has a coefficient of kinetic friction of 0.200. The wire carries a current of 1.50 A toward the east and slides horizontally to the north at constant velocity. What are (b) the direction of the smallest magnetic field that enables the wire to move in this fashion?
The direction of the smallest magnetic field that enables the wire to move in this fashion to East.
A magnetic force in the direction of north that is equal in strength to the friction force will be required.
Fm - f = 0
I L B = uk mg = 0.
(1.50 x 1 x B) - (0.20 x 0.1 x 9.8) = 0
B = 0.131 T
b) the magnetic force, Fm = IL x B. (cross product )
- > north F
What emf is induced across the ends of the wire?
The formula can be used to calculate the magnetic force for a moving charge particle;
∈= Bvlsinθ
Due to the parallel motion of the wire, the angle between the magnetic field and velocity is zero degrees.
B = 0.500 T
v = 1.50 m/s
l = 0.200 m
Therefore,
∈ = (0.500 T) (1.50 m/s) * (0.200 m) *sin 0
∈=0.15 * sin 0
∈= 0
To know more wire,visit :
https://brainly.com/question/24055550
#SPJ4
what is the electric force on a due to b in component form? express your answer in terms of the unit vectors i^ and j^ . use the 'unit vector' button to denote unit vectors in your answer.
The electric force on a due to b in component form = [tex]\bold{0\vec i+72\times10^{-9}\vec j\ N}[/tex]
Charge of A = 4 nC = [tex]4\times 10^{-9}[/tex] C
Charge of B = -8 nC = [tex]-8\times 10^{-9}[/tex] C
A is on the origin, (0,0) and B is at the point (0 cm,2cm).
Therefore, distance between charges A and B, r = [tex]\sqrt{(0-0^2)+(0-2)^2} =2[/tex]
Using Coulomb's law, the electric force is directly proportional to the product of charges and inversely proportional to the square of distance between charges.
i.e., [tex]F_{A\ on\ B}=\frac{kq_1q_2}{r^2}[/tex], where k = [tex]9\times 10^9 Nm^2C^{-2}[/tex], the Coulomb constant.
So [tex]F_{A\ on\ B}=\frac{9\times 10^9\times 4\times 10^{-9}\times 8\times 10^{-9}}{2^2} = \bold{72\times 10^{-9} N}[/tex]
Since there is no x-component for this force,
the electric force on a due to b in component form = [tex]\bold{0\vec i+72\times10^{-9}\vec j\ N}[/tex]
The question incomplete. Find the complete question here:
Object A, which has been charged to +4.0 nC is at the origin. Object B, which has been charged to -8.0 nC, is at (x, y)=(0.0 cm, 2.0 cm). What is the electric force on A due to B in component form? Express your answer in terms of the unit vectors i and j. Use the 'unit vector button to denote unit vectors in your answer.
Learn more about electric force at https://brainly.com/question/17692887
#SPJ4
Mankind causes major disruptions within ecosystems
- true
-false
Answer:
true
Explanation:
common sense i am just guessing.
Answer: True
Explanation: For instance cutting trees for paper.
Hope this helps!! Brainlist? Plz
dynamical stability of giant planets: the critical adiabatic index in the presence of a solid core kundu, s.k., coughlin, e.r., youdin, a.n., armitage, p.j., 2021, mnras, submitted
The critical adiabatic index in the presence of a solid core dynamical stability of giant planets is called adiabatic index.
What is adiabatic index?In warm material science and thermodynamics, the intensity limit proportion, otherwise called the adiabatic record, the proportion of explicit warms, or Laplace's coefficient, is the proportion of the intensity limit at steady strain to warm limit at consistent volume. The Adiabatic Index adding machine processes the adiabatic list ( γ) otherwise called the intensity limit proportion or proportion of explicit warms. Accordingly, for normally happening diatomic gases at close to standard circumstances, the adiabatic file can be roughly viewed as around 7/5 or 1.4. The particular intensity proportion or adiabatic list is connected with the levels of opportunity () of a gas particle by the situation.
Learn more about adiabatic index, refer:
https://brainly.com/question/14766211
#SPJ4
The image above shows two opposite forces acting on a rope, what can we say is true about the affect of the forces on
the rope?
Answer:
your answer is D
Explanation:
..........
Answer:
d
Explanation:
UsaTestPrep
bob hits a baseball.what two systems are working together to make this happen
Answer:
Kinetic Energy and Mechanical energy
Explanation:
Calculate the current in the above circuit.
Answer:
4 A
Explanation:
From the question given above, the following data were obtained:
Voltage (V) = 12 V
Resistance (R) = 3 Ω
Current (I) =?
From ohm's law,
Voltage (V) = Current (I) × Resistance (R)
V = IR
With the above formula, we can obtain the current flowing in the circuit as illustrated below:
Voltage (V) = 12 V
Resistance (R) = 3 Ω
Current (I) =?
V = IR
12 = I × 3
Divide both side by 3
I = 12/3
I = 4 A
Therefore, the current flowing in the circuit is 4 A.
A spring with a constant of 92N/m is compressed 2.8 cm. How much potential energy is stored in the spring?
PE= J
Answer:
0.036J
Explanation:
Given parameters:
Spring constant , K = 92N/m
Compression = 2.8cm = 0.028m
Unknown:
Potential energy = ?
Solution:
To solve this problem;
P.E =[tex]\frac{1}{2}[/tex] K e²
K is the spring constant
e is the compression
so;
P.E = [tex]\frac{1}{2}[/tex] x 92 x 0.028² = 0.036J
Can you please answer qeastion
Answer:
the mantel
Explanation:
yeeeeaaaaaaa
explain how electric motors convert electrical energy to mechanical energy
Answer:
[tex]\rightarrow[/tex] Electric motors build energy through the interaction between magnetic fields.
Magnetic fields may be generated by passing a current through a wire. Winding that wire into a coil intensifies the sector. Wrapping the coil around an iron core can intensify it more. One is going to be of the coil are North, the other South. Reverse the flow of current through the coil. The magnetic poles can swap. Place 2 separate coils close to one another and organize them therefore one turns whereas the opposite is fastened. Then build arrangements for this within the moving coil to reverse even as the opposite poles are about to line up.
Hope it helps!<3
Which of the following is not a component of a normal experiment?
A. Control group
OB. Dependent variable
C. Independent variable
D. Validity group
Reset Selection
Answer:
D. Validity group
Explanation:
A validity group is not necessarily a component of a normal experiment.
A normal experiment is made up of the dependent variables, independent variables, and most times the control group.
The dependent variable is one that relies on the outcome of the effect produced from the experimental designThe independent variable is the one that causes a desired effect under the study. The control group is a group that does not receive any treatment nor attenuation of the conditions.Write a hypothesis based on observations and scientific principles.
Answer:
An example of a hypothesis based on observation and scientific principles is:
Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.
A hypothesis is an informed prediction or a tentative statement about what you think that would occur in a scientific experiment as a result of experience from observations accepted by scientific rules and law.
A hypothesis is a testable statement obtained from the research question but questions cannot be tested directly, it is the proposed relationship between the variables that are tested.
An example of a hypothesis is:
Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.
This specifies the direction of the hypothesis because one group is faster than the other.
Explanation:
A child rides a bicycle in a circular path withí a radius of 3.0 m. The
tangential speed of the bicycle is 2.0 m/s. The combined mass of the bicycle and the child is 43 kg.
Answer:
57.3N
Explanation:
Given parameters:
radius of the path = 3m
tangential speed = 2m/s
mass of the bicycle and child = 43kg
Unknown:
centripetal force = ?
Solution:
The centripetal force is the inward force on a body round a circular path.
It is expressed as;
F = [tex]\frac{mv^{2} }{r}[/tex]
F is the centripetal force
m is the mass
v is the tangential speed
r is the radius
F = [tex]\frac{43 x 2^{2} }{3}[/tex] = 57.3N
Please answer the pictures below in sequential order, (there's more than 1) I'd really appreciate it. Happy holidays guys!
Answer:
happy holidays
Explanation:
Two neutral objects, 1 and 2, are suspended by strings near one another. Object 2 is touched by a positively-charged insulated rod.
Immediately after the insulated rod is removed, Object 1 and Object 2 repel. What causes the two objects to repel?
Answer:
When 2 objects are in contact with one another and one of them receives a positive or a negative charge, then the objects will repel one another because they are similarly charged.
The magnetic moment of the Earth is approximately 8.00 ×10²²A.m² . Imagine that the planetary magnetic field were caused by the complete magnetization of a huge iron deposit. with density 7900 kg / m³, and approximately 8.50×10²⁸ atoms / m³, (a) How many unpaired electrons, each with a magnetic moment of 9.27 ×10⁻²⁴A.m² , would participate?
[tex]4.315 \times10^{45}[/tex] unpaired electrons,are required each with a magnetic moment of 9.27 ×10⁻²⁴A.m² , to participate .
Magnetic moment, additionally referred to as dipole moment, may be a live of the tendency of associate degree object to align with a field of force. torsion may be a vector amount. Objects tend to be placed in order that their torsion vectors square measure parallel to the lines of magnetism. The direction of the torsion points from the South Pole of the magnet to the North Pole. The field of force made by a magnet is directly proportional to its torsion."Magnetic moment is outlined because the magnetic strength and orientation of a magnet or alternative object that produces a field of force."It is given that magnetic moment of the Earth is approximately 8.00 ×10²²A.m² .
Number of unpaired is found by dividing the magnetic moment of the Earth to the given magnetic moment of 9.27 ×10⁻²⁴A.m²
[tex]n=\frac{8.00\times10^{22}}{9.27\times10^{-24}} \\\\n=8.63\times10^{45}[/tex]
Each iron atom has two unpaired electrons, so the number of iron atoms required is [tex]\frac{1}{2}\times 8.63\times10^{45}=4.315\times10^{45}[/tex] electrons.
Learn more about magnetic moment here :
brainly.com/question/17002968
#SPJ4
Convert 93 nanometer to meters.
Answer:
9.3e-8 Meters
Two motorcycles start at the same point. One motorcycle travels 15 km due north and stops. The second motorcycle travels 32 km due west and stops. Which value is closest to the distance between the motorcycles when they stop?.
Two motorcycles start at the same point, one motorcycle travels 15 km due north and stops, the second motorcycle travels 32 km due west and stops, value closest to the distance between the motorcycles when they stop is 35.3 km.
What is Meant by Kilometers to Miles?In general, kilometers to miles is the conversion of distance from the kilometers to miles. kilometers and miles are used to measure length from one point to the other. In metric system, kilometer is the unit of length and it is considered as the International System of Units, whereas miles are used in the imperial and US customary units. The kilometer is abbreviated as “km”, and mile is abbreviated as “mi”. These two measures are mostly used to measure the geographical land areas.
You are aware that hypotenuse of a right triangle is shorter than the total of the legs and longer than the longest leg.
The relevant distance in this geometry is greater than the 32 km and less than 15+32 = 47 km. The only option that falls within acceptable range is 35.3 kilometers.
To know more about miles visit: https://brainly.com/question/23245414?referrer=searchResults
#SPJ4
M With particular experimental methods, it is possible to produce and observe in a long, thin rod both a transverse wave whose speed depends primarily on tension in the rod and a longitudinal wave whose speed is determined by Young's modulus and the density of the material according to the expression v = √(Y/rho) . The transverse wave can be modeled as a wave in a stretched string. A particular metal rod is 150cm long and has a radius of 0.200cm and a mass of 50.9 g . Young's modulus for the material is 6.80× 10¹⁰N/m² . What must the tension in the rod be if the ratio of the speed of longitudinal waves to the speed of transverse waves is 8.00 ?
The tension in the rod when the ratio of speed is 8 is 1.34 × 10⁴ N.
The longitudinal waves speed is determined using the density of the material and the Youngs modulus with the expression:
v = √(Y/rho)
A wave in a stretched string can be used to represent the transverse wave.
The length of the metal rod is 150 cm and the radius of the rod is cm.
The mass of the rod is 50.9 g.
Now, the Youngs modulus for the material is 6.80× 10¹⁰ N/m².
For the longitudinal wave
v(l) = (Y/ρ)^{1/2}
For the transverse wave :
v(T) = (Y/μ)^{3/2}
Now, we need
v(L) / v(T) = 8
And we know,
T = (μY) / (64ρ) where μ= m /L
And the density, ρ = mass / volume = (m) / (πr²L)
Therefore,
T = (πr²Y) / 64
T = (π)(2 × 10⁻³)² × (6.8 × 10¹⁰) / 64
T = 1.34 × 10⁴ N
Learn more about longitudinal waves here:
https://brainly.com/question/25827374
#SPJ4
Bats have poor vision and use echo-location to find their way.The frequency produced by bats is 100kHz. If the speed of the sound is 345m/s , how deep is the cave if the bat makes peeping sounds that return to the bat after 0,15s??
The distance covered is 25.9 m.
How deep is the cave?We know that the speed of sound refers to the speed with which an sound moves in an object.
Given that;
speed of sound = 345m/s
Time taken = 0.15s
We know that;
v = 2d/t
v = speed of sound
d = distance
t = time taken
vt = 2d
d = vt/2
d = 345m/s * 0.15s/2
d = 25.9 m
Learn more about speed of sound:https://brainly.com/question/15137350
#SPJ1
Sound waves cause air to oscillate. What do light waves oscillate?
how does the thickness of wood affect its stability
Answer:
Making the lumber thick will make it stiff, which seems good. On the other hand, with thicker lumber, differences in expansion on the two faces have more leverage to make the lumber move.
2 Calculate the mass of a car that hits a wall, during an accident, with a force of 961 N and an acceleration of 31m/s2. (4D) (F = m * a) *
Answer: 31kg
Explanation:
(F=mxa)
Rearranged
M=f÷a
961÷31=31