No, it was found by expirement.

The Biot-Savart force law specifically deals with calculating the magnetic field generated by a current-carrying wire. It describes how the magnetic field strength at a particular point is determined by the magnitude and direction of the current flowing through the wire.

Oh, dude, like Coulomb's Law is for electrostatic interactions between stationary charges, while Biot-Savart Law is for calculating magnetic fields created by current-carrying wires. So, like one deals with electric stuff, and the other deals with magnetic stuff. It's like comparing apples and oranges, but with physics.

Ampère's law can be derived from the Biot-Savart law by integrating the magnetic field generated by a current-carrying element over a closed loop. This integration involves applying the vector cross product between the current element and the position vector from the current element to the point of interest. By applying Ampère's law to the closed loop integral of the magnetic field, you can establish a relationship between the current enclosed by the loop and the magnetic field circulating around the loop.

Ampere's circuital law is typically used to determine the magnetic field around symmetrically arranged current-carrying conductors or solenoids where the symmetry simplifies the calculation. On the other hand, the Biot-Savart law is employed for more general cases where the magnetic field needs to be calculated at any point in space due to a general current distribution. Ultimately, the choice between the two depends on the complexity of the current configuration and the ease of application of each method.

The Biot-Savart law describes the magnetic field produced by a steady current, while Coulomb's law describes the electrostatic force between stationary charges. Both laws involve inverse square relationships (1/r^2) and are fundamental in their respective fields of electromagnetism and electrostatics. The key difference is that Biot-Savart law deals with magnetic fields due to moving charges, while Coulomb's law deals with electric fields due to stationary charges.

A classic and ancient experiment is to get a compass, a battery (9volt is fine), and some wire. Notice that the compass changes when the circuit is closed (wire connected to the two terminals). You can also see that the compass gets affected less when it is far from the wire versus next to it.

If your interested in the math behind the experiment, you may want to do some research on the Biot-Savart Law. The Biot-Savart law describe the magnetis field when the current is constant, or not time-varying. A more general form of the equation is called Ampere's Law, and the more general case of that is Maxwell's equations.

The Biot-Savart law in differential form is given as:

[ \text{d}\textbf{B} = \frac{\mu_0}{4\pi} \frac{I \text{d}\textbf{l} \times \textbf{r}}{r^3} ]

where (\text{d}\textbf{B}) is the magnetic field at a point due to a current element (\text{d}\textbf{l}) located at a distance (\textbf{r}) from that point.

Félix Savart died in 1841.

Félix Savart was born in 1791.

Biot-Savart's law describes the magnetic field generated by a steady current flowing in a wire. It states that the magnetic field at a point in space is proportional to the current flowing through the wire and inversely proportional to the distance from the wire. This equation is fundamental in calculating magnetic fields around current-carrying conductors.

A biot is another term for an abampere.

Le Biot's population is 424.

Camille Biot was born in 1850.

Édouard Biot was born in 1803.

Édouard Biot died in 1850.

The area of Le Biot is 13.18 square kilometers.

The magnetic field due to a current through a circular loop is perpendicular to the plane of the loop, and its magnitude depends on the current, the radius of the loop, and the distance from the center of the loop. The magnetic field strength is strongest at the center of the loop and decreases as you move away from the center.

Jean-Baptiste Biot was born on April 21, 1774.

Maurice Anthony Biot was born on 1905-05-25.

Maurice Anthony Biot died on 1985-09-12.

Jean-Baptiste Biot was born on April 21, 1774.

Jean-Baptiste Biot died on February 3, 1862 at the age of 87.

Meaning is to quantitatively analyze the magnetic field of a steady line current a distance r from it. Make sure to use that appropriate coordinates.

Jean-Baptiste Biot died on February 3, 1862 at the age of 87.

Maurice Anthony Biot (M. A. Biot) was a prominent Belgian-born American physicist and engineer known for his work in theoretical and experimental mechanics, acoustics, and seismology. He made significant contributions to the understanding of wave propagation, soil mechanics, and the behavior of rocks and other geological materials under stress. Biot's pioneering research laid the foundation for modern theories in these fields.

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The magnetic field due to a current-carrying wire at the location of an electron can be calculated using the Biot-Savart law. The strength and direction of the magnetic field depend on the distance of the electron from the wire, the current flowing through the wire, and the orientation of the wire with respect to the electron's position.

Jean-Baptiste Biot was born on April 21, 1774 and died on February 3, 1862. Jean-Baptiste Biot would have been 87 years old at the time of death or 241 years old today.

Maurice A. Biot has written:

'Acoustics, elasticity, and thermodynamics of porous media' -- subject(s): Elasticity, Porous materials, Sound, Thermodynamics

Christian Biot has written:

'Mourir vivant' -- subject(s): Death, Psychological aspects, Psychological aspects of Terminally ill, Terminally ill

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Yvan Biot has written:

'What's the problem?' -- subject(s): Soil erosion

'Crop production forecasting based on long term climate predictions'

If you mean give an example where Newton's 3rd law (that every force has an equal and opposite reaction force) does not hold, I can give an example.

The example given in Griffith's Intro to Electromagnetism is good: let two charged particles be constrained to move at right angles to each other. Say that they are moving away from each other each with some speed v. The electric force (essentially Coulomb's law but slightly modified because the particles are moving) is radial, so the electric force obeys Newton's third law. The magnetic field points up for one particle and down for the other (essentially Biot-Savart's law, again, slightly modified), using the right hand rule, the magnetic forces are equal, but not opposite!

Patoum's birth name is Ren Ono-dit-Biot.

The cast of El Dia Que La Conocimos - 2012 includes: Pau Biot Ariadna Biot as Ari Juan Carlos Marques as Jota Carmen Marcet as Mamen Mercedes Marques as Mer

The Operation World website lists BIOT as part of Africa.

Biotite was discovered by the Austrian mineralogist Andreas von Bonsdorff in 1847.

The Bjerknes force, also known as the Biot-Savart force, is a magnetic force that acts on a moving electric charge in a magnetic field. It is perpendicular to both the velocity of the charge and the magnetic field and is responsible for the deflection of charged particles in a magnetic field.

Camille Bedin died in 1979.

The Biot-Savart Law describes the magnetic field generated by a steady current in a wire. It states that the magnetic field at a point created by a current-carrying wire is directly proportional to the current, length of the wire segment, and the sine of the angle between the wire segment and the line connecting the point and the wire segment.

Yes, there is a law similar to Coulomb's law for electric charges, known as the Biot-Savart law, that describes the force between magnetic poles. It is based on the concept of magnetic fields generated by currents and is used to calculate the magnetic force between magnetic poles or current-carrying wires.

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The Biot-Savart Law describes the magnetic fields due to a steady current. It is a simplification of the more general Maxwell equations.

The general equation is described in calculus:

dB = u/(2*pi) * [(J dV) x r]/r_mag^3

dB = differential magnetic field, a vector, measured in (Teslas / meter)

u = permeability of the medium the wire is in. In free space u = uo (4*pi*10^-7 Tesla * meters / Ampere)

J dV = current density vector in a differential volume

'x' = cross product

r = vector to where you want to calculate the magnetic field

r_mag = magnitude of that vector (aka distance)

If you are not familiar with calculus this equation may look rather difficult, but there are a couple of idealizations that simplify this calculation.

1) If our current is only 1 dimensional, the J becomes I (current).

2) By making the wire symmetric (either circular, straight, infinite, etc) we can get a much much much simpler closed form expression.

For an infinitely long, straight piece of wire: B = u*I/(2*p*r) Teslas, r is the distance radially away from the wire.

For a circular loop of wire: B = u*I/(2*R) Teslas, R is the radius of the circular loop.

So enough of the mathmatics, lets talk about what the equations mean. The math says that magnetic fields arise from moving charges (current) and that the magnetic fields are circles around the wire. It also says that it points in a direction (which makes sense since magnetic fields are vector fields). That direction is given by the cross product of the direction the current is going, with the direction away from the wire. The result is a vector that rotates either clockwise or counterclockwise around the wire.

I don't know if your familiar with the cross product, but the common way to picture what happens is to use three fingers, your middle finger, index finger, and your thumb. First make a fist, then point your thumb up, like a thumbs up. Then point your index away, like a pistol, and then make a right angle between your index and middle finger. All three fingers should be right angles with each other. This completely describes the cross product.

The index is the first vector (in this case the current), the middle finger is the second vector (the direction of where you want to calculate the magnetic field), and your thumb is the result (the magnetic field). So a quick example is picture a wire flowing through your monitor. Point your index finger in this direction. Now you want to calculate the direction of the magnetic field at the top left corner of your screen. So make your middle finger point to the top left corner. The direction your thumb is point in is the direction of the magnetic field (it should be pointing at the top right corner).

So I hope explained this well enough so you can calculate the field in some situations and can picture what the field looks like, all described by the Biot-Savart Law.

The Biot-Savart Law describes the magnetic fields due to a steady current. It is a simplification of the more general Maxwell equations.

The general equation is described in calculus:

dB = u/(2*pi) * [(J dV) x r]/r_mag^3

dB = differential magnetic field, a vector, measured in (Teslas / meter)

u = permeability of the medium the wire is in. In free space u = uo (4*pi*10^-7 Tesla * meters / Ampere)

J dV = current density vector in a differential volume

'x' = cross product

r = vector to where you want to calculate the magnetic field

r_mag = magnitude of that vector (aka distance)

If you are not familiar with calculus this equation may look rather difficult, but there are a couple of idealizations that simplify this calculation.

1) If our current is only 1 dimensional, the J becomes I (current).

2) By making the wire symmetric (either circular, straight, infinite, etc) we can get a much much much simpler closed form expression.

For an infinitely long, straight piece of wire: B = u*I/(2*p*r) Teslas, r is the distance radially away from the wire.

For a circular loop of wire: B = u*I/(2*R) Teslas, R is the radius of the circular loop.

So enough of the mathmatics, lets talk about what the equations mean. The math says that magnetic fields arise from moving charges (current) and that the magnetic fields are circles around the wire. It also says that it points in a direction (which makes sense since magnetic fields are vector fields). That direction is given by the cross product of the direction the current is going, with the direction away from the wire. The result is a vector that rotates either clockwise or counterclockwise around the wire.

I don't know if your familiar with the cross product, but the common way to picture what happens is to use three fingers, your middle finger, index finger, and your thumb. First make a fist, then point your thumb up, like a thumbs up. Then point your index away, like a pistol, and then make a right angle between your index and middle finger. All three fingers should be right angles with each other. This completely describes the cross product.

The index is the first vector (in this case the current), the middle finger is the second vector (the direction of where you want to calculate the magnetic field), and your thumb is the result (the magnetic field). So a quick example is picture a wire flowing through your monitor. Point your index finger in this direction. Now you want to calculate the direction of the magnetic field at the top left corner of your screen. So make your middle finger point to the top left corner. The direction your thumb is point in is the direction of the magnetic field (it should be pointing at the top right corner).

So I hope explained this well enough so you can calculate the field in some situations and can picture what the field looks like, all described by the Biot-Savart Law.

Br magnets and other permanent magnets is formed out of material that creates a and sustains its own magnetic field that is always in effect. These permanent magnetic fields are due to complex interactions of the electrons of the object and the way in which they spin. They are usually made out of paramagnetic materials which have unpaired electron spins in certain orbitals. In the case of permanent magnets, these unpaired spins align to create a ferromagnetic material which exhibits typical magnetic properties.

Electromagnets on the other hand require manipulation of moving electrons in electrical current as opposed to in an atom. According to Biot-Savart whenever there is an electric field, a perpendicular magnetic field is generated. Normally, the magnetic field is weak in comparison, but by aligning the electric field in special ways you can amplify the magnetic field, and you can also increase the magnetic field by applying an even stronger current.

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