What is Biot-savart: Definition and 122 Discussions
In physics, specifically electromagnetism, the Biot–Savart law ( or ) is an equation describing the magnetic field generated by a constant electric current. It relates the magnetic field to the magnitude, direction, length, and proximity of the electric current. The Biot–Savart law is fundamental to magnetostatics, playing a role similar to that of Coulomb's law in electrostatics. When magnetostatics does not apply, the Biot–Savart law should be replaced by Jefimenko's equations. The law is valid in the magnetostatic approximation, and consistent with both Ampère's circuital law and Gauss's law for magnetism. It is named after Jean-Baptiste Biot and Félix Savart, who discovered this relationship in 1820.
Hi,
1. Generally when using Gauss's law to e-field, I'm aware that the the surface you chose must be symmetrical and E-field is constant therefore you would only use Gauss's law for infinite sheets of charge, spherical distribution of charge and infinite line charge am i right?
2. Regarding...
What determines the sense of rotation of the magnetic field around an electric current?
Current through a straight wire is a problem with rotational symmetry, so what is it that breaks the symmetry?
Does the spin of a moving electron have a preferred orientation - or what could it be?
Homework Statement
The Biot-Savart Law states that the direction and magnitude of the magnetic field B
produced at a point P by a current length element I dl is given by:
d\vec{B} = \frac{\mu_0}{4\pi}\frac{Id\vec{l}\times \hat{r}}{r^2}
Where \hat{r} = \frac{\vec{r}}{r}
where r...
Is the Biot Savart law similar to the coulomb law in that it is something that is guessed initially, and later shown to give the same solution that Maxwell's equations give (except Maxwell's equations are a generalisation), or is it something that is proven? And if it is proven, could someone...
An infinite current filament carries a current of 3A and lies along the x-axis. Using Biot-Savart Law, find the magnectic field intensity in cartesian coordinates at a point P(-1,3,2).
dH = I vec{dl} x hat{R} / 4piR^2
let substitude hat{R} with vec{R} / R
then dH = I vec{dl} x vec{R} / 4piR^3...
Homework Statement
Consider an ideal cylindrical solenoid of length L and radius a=L/2 on which a thin wire has been wrapped a total of N turns. A steady current I flows through the wire. Assume the wires are wound so tightly that the solenoid can be thought of as a collection of N parallel...
I'm trying to understand the Biot-Savart law. Isn't the last calculation wrong here: http://planetphysics.org/encyclopedia/QuarterLoopExampleOfBiotSavartLaw.html
I don't understand why "pi" is in the answer.
Homework Statement
Two long straight wires sit at the lower corners of an equilateral triangle and carry current I. Find the magnitude and direction of the B field at the top vertex of the triangle for the case where:
a) the current in both lower wires flows out of the page
b) the...
Homework Statement
In a model of a hydrogen atom, an electron circles the proton at a distance of 5.29E-11 m with a speed of 2.19E6 m/s. Compute the magnitude of the magnetic field that this motion produces at the location of the proton.
Homework Equations
dB = (u/4pi*r^2) I ds x r(roof)...
Homework Statement
I had several questions about the magnetic field vector.
For example when applying the Biot-Savart Law, I was under the impression that each differential element {d{\vec{s}}} containing a current {I} along an infinitely long straight wire exerts a magnetic field...
Biot-Savart + Coulomb + Charge Conservation = Maxwell??
Do the Biot-Savart Law, Coulomb's Law, and the Law of Charge Conservation contain the same information as Maxwell's Equations? i.e.
\begin{cases}
d\vec{B} = \frac{\mu_o}{4\pi} \frac{I d\vec{l} \times \hat r }{r^2} \\
\vec{E}=...
Homework Statement
"A wire is formed into the shape of two half circles connected by equal-length straight sections. A current I flows in the circuit clockwise as shown. Determine (a) The magnitude and the direction of the magnetic field at the center, C, and (b) the magnetic dipole moment of...
I am curious how you derive this law. It seems that you could derive coulomb ` s law from gauss ` s law, but are there are no similar analogy for Bio-Savart law.
i personally think that this is just a very simple problem since the problem only requires plugging the right values into the formula. I'm just having trouble with one minor detail.
Homework Statement
For the current element Idx(ax+ay) A situated at P(1,-2,2), find the magnetic flux...
Dear sir/lady
I have a question about the magnrtic force of steady current .
In Biot - Savart law to evalute of B (magnetic Field ) , below the Integral we have to do a cross product Idl'*(r-r')/|r-r'|^3 that r and r' are the vector position of the field and source . How we can evaluate this...
Hey guys I have a wire oriented along the x-axis with lengths -L/2 to L/2
The first part of the Biot Savart formula has a I dl in vector notation crossed with (r-r')/(r-r')^3. I used I(i hat) for the I dl vector and to cross it, i used r as my observation point and r' as source. When I did...
I read that the Biot-Savart Law is analogous to Coulomb's Law, but for Magnetism instead of Electricity. Back when we learned about Coulomb's Law, I remember my professor saying that Coulomb's Law cannot be explained and that there is no mathematical proof for why Coulomb's Law exists. Is this...
Suppose an electron orbits a proton at a distance of 'r' with speed 'v'.
How could i determine the magnitude of the magnetic field at the location of the proton?
I thought it would make sense to use The Biot-Savart Law, but i don't know where to begin:
dB = \frac{\mu_o}{4\pi} \frac{I ds x...
I'm trying to find some sort of simple derivation of these laws in 2d, using the integral expressions of the Maxwell equations.
For 2d Coulomb, I found this:
Imagine a rod of infinite length along the z-axis, carrying a charge q which is uniformly divided:
rho (the charge/volume) =...
I have two questions
1) The problem is here
View of two long, straight and parallel conductors carrying a current as shown below
8 cm
P-------------------------O (I2 = 15 A..out of the page)
l...
Two very long, straight, parallel wires carry currents that are directed perpendicular to the page, as in the figure below. Wire 1 carries a current I1 into the page (in the -z direction) and passes through the x-axis at x=+a. Wire 2 passes through the x-axis at x=-2a and carries an unknown...