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
sergeinik [125]
1 year ago
6

Use the equation for magnetic force on a moving charge to derive the equation for magnetic force on a current carrying wire. Sho

w your work.
Physics
1 answer:
max2010maxim [7]1 year ago
7 0

Answer:

The formula comes from Lorentz force law which includes both the electric and magnetic field. If the electric field is zero, the force law for just the magnetic field is <u>F=q(ν×B</u>) . Here, F  is force and is a vector because the force acts in a direction.  q  is the charge of the particle.  v  is velocity and is a vector because the particle is moving in some direction.  B is the magnetic flux density.

We can derive an expression for the magnetic force on a current by taking a sum of the magnetic forces on individual charges. (The forces add because they are in the same direction.) The force on an individual charge moving at the drift velocity vd.  Since the magnitude of B is constant at every line element of the loop (circle) and it dot product with the line element is B dl everywhere, therefore

                                                  ∮B dl=μ0 I

                                                  B ∮dl=μ0 I

                                                  B 2πr=μ0 I

                                                   B=μ02πr Id=μ0/4π I dl×rr3

Since, r can be written as r=(rcosθ,rsinθ,z) and dl as dl=(dl,0,0) And now, if we take the cross product we would get

                                               dl×r=−z dlj^+rsinθk^

and therefore the magnitude of dB is equal to

dB=μ0/4π I |dl×r|/r3=μ0/4π I z2+r2sin2θ−−−−−−−−−−√dl/r3

Thus, magnetic field is depending on r,θ,z.

Learn more about Force here-

brainly.com/question/2855467

#SPJ4

You might be interested in
A wave with a short wave length will also have...?
Masja [62]
It'll have a higher frequency.

The product of (wavelength) times (frequency) for a wave
is always the same number ... it's the wave speed. 
So if one of them is small, the other one has to be big.
3 0
3 years ago
Describe the changes in the velocity of a ball thrown straight up into the air. then describe the changes in the ball's accelera
expeople1 [14]

There is a displacement. Just because the ball is thrown up, and not crossways, doesn't mean its location is not moving. Remember, positive displacement is together a displacement in the direction east, right, and up.  The velocity is the distance over time. To compute that, you must look how high the ball moved before falling back down. Acceleration is expected to be constant at 9.80m/s^2. That is the force of gravity. But remember that you are disregarding air friction when you are computing the acceleration.

7 0
3 years ago
What is an atomic nucleus
Agata [3.3K]

Answer:

The atomic nucleus is the small, dense region consisting of protons and [[]]s at the center of an atom

Explanation:

8 0
3 years ago
Read 2 more answers
125 cm of gas are collected at 15 °C and
aleksklad [387]
The new volume will be ≈26mL
rounded to two significant figures.
Explanation:
This question involves the combined gas law. The equation to use is:
When working with gas laws, the temperature is always in Kelvins. To get Kelvins from a Celsius temperature, add 273.15 to the Celsius temperature.
6 0
2 years ago
What is solar made from
Eduardwww [97]

Solar cells are made out of silicon wafers. These are made out of the element silicon, a hard and brittle crystalline solid that is the second most abundant element in the Earth's crust after oxygen. If you're at the beach and see shiny black specks in the sand, that's silicon.

Hope this helps!

Please give brainliest!

5 0
2 years ago
Other questions:
  • An fm radio station broadcasts at a frequency of 101.3 mhz. what is the wavelength?
    12·2 answers
  • an ideal gas is confined to a container with adjustable volume. the number of moles, n, and temperature, t, are constant. by wha
    10·1 answer
  • Without the wheels, a bicycle frame has a mass of 8.29 kg. Each of the wheels can be roughly modeled as a uniform solid disk wit
    13·1 answer
  • A cyclist overcomes a resistive force of 30 N in order to cycle 30 m. It takes her 6 seconds to cycle this distance. Calculate t
    10·1 answer
  • In an electric motor, a commutator
    15·2 answers
  • When you throw a ball upward, its kinetic energy ____ (DECREASES,INCREASES,REMAINS THE SAME) and its potential energy _____ (DEC
    6·2 answers
  • The hydrogen bond between two water molecules arises because water is
    6·1 answer
  • A football player threw a ball upward at an angle or 24 degrees with the horizontal with A velocity of 18 m/s. What are the vert
    13·1 answer
  • Which safety precaution is of primary interest to ALL laboratory activities?
    9·1 answer
  • Cuando es más confiable el valor central de una medición
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!