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Hi this is it : dB=

m0I/4pi (dl x r) / |r

3|, I hope this works for you.you can take r unitary if you change |r

3| by |r

2| and make cross product alot

much simple

This is took of my class of Electrodynamics 2

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Q: What is the differential form of Biot and Savart law?
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What is the difference between coulomb's law and biot savart law?

According to Coulomb's law, the electrostatic force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of distance between their centers. And Biot Savart's law gives the magnetic field at point due to a small current element. And, according to Biot Savart's law ,the magnitude of magnetic field is directly proportional to the product of current element Idl and Sin theta and inversely proportional to the square of distance between two point charges.


Magnetic field due to a current through a circular loop?

The magnetic field due to a constant current through a circular loop is the same shape, outside the loop, as the field due to a bar magnet. At the centre of the loop the field can be found, using the Biot-Savart Law, to be (Equation 1: URL in related links), where ?0 is the permeability of free space, I is the current through the loop, R is the radius of the loop and z-hat is a unit vector perpendicular to the plane of the loop. The field on the axis of the loop can be found, again using the Biot-Savart Law, to be (Equation 2: URL in related links), where z is the distance from the centre of the loop along its axis and all other symbols have the same meaning as in the previous equation.


Similarities and differences between Biot-savart law and coulombs law?

similarities:1. field at any point vary inversely at the square of the distance.2. both obey superposition principle3. the magnetic fields linear in the source just as electric field.dissimilarities:1. E is produced by a scalar source (q) where as B is produce by vector source (Idl)2. E is acting along the displacement vector where as B acts perpendicular to Ixr.3. E is not depended of θ where as B depends upon θ.


Law of form of living things?

The law of form of living things is concerned with the genetic structure of living organisms.


Physics definition to move a load?

Do you mean Newton's Second Law of Force? It is differential change in momentum per unit time, due to an external force

Related questions

Can you prove Biot-Savart's law directly?

No, it was found by expirement.


Where will you use ampere circuital law in preference to biot savart law?

Depends on whether a path integral or a normal integral is easier to determine.


What is the difference between coulomb's law and biot savart law?

According to Coulomb's law, the electrostatic force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of distance between their centers. And Biot Savart's law gives the magnetic field at point due to a small current element. And, according to Biot Savart's law ,the magnitude of magnetic field is directly proportional to the product of current element Idl and Sin theta and inversely proportional to the square of distance between two point charges.


Derivation of amperes law from biot savart law?

----> ampere's law :which is to be used while finding magnetic fields inside the enclosed surface. we are allowed to use it to any surface however the surface have to be in such ways that the path must pass through the point and the path must have enough symmetry so that is constant along the large path of it!----> Biot Savart law : we often use biot savart to find magnetic fieldsgenerated by an electric current carrying wire of radius "r" and since the radius is perpendicular with I we don't worry about messy integration!thus we left with : dB =( µ_0 Idl) / (4πr^2)also knowing that l = 2πr helps so we substitute it in! and we eventually end up with : dB =( µ_0 Id2πr) /(4πr^2)Thus B = µ_0 I / 2πrCombining Ampere Law to Biot savart.Thus we can derive Biot savart from ampere by the following:§ B.dl = µ_0 I (encl)B § dl = µ_0 I (encl) hence B (2πr) isB(2πr) = µ_0 Iso B = (µ_0 I) / 2πrfaith nshuti.


Prove that current can be a source of magnetism?

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.


Magnetic field due to a current through a circular loop?

The magnetic field due to a constant current through a circular loop is the same shape, outside the loop, as the field due to a bar magnet. At the centre of the loop the field can be found, using the Biot-Savart Law, to be (Equation 1: URL in related links), where ?0 is the permeability of free space, I is the current through the loop, R is the radius of the loop and z-hat is a unit vector perpendicular to the plane of the loop. The field on the axis of the loop can be found, again using the Biot-Savart Law, to be (Equation 2: URL in related links), where z is the distance from the centre of the loop along its axis and all other symbols have the same meaning as in the previous equation.


Similarities and differences between Biot-savart law and coulombs law?

similarities:1. field at any point vary inversely at the square of the distance.2. both obey superposition principle3. the magnetic fields linear in the source just as electric field.dissimilarities:1. E is produced by a scalar source (q) where as B is produce by vector source (Idl)2. E is acting along the displacement vector where as B acts perpendicular to Ixr.3. E is not depended of θ where as B depends upon θ.


Meaning of bio-savart's law?

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.


Give an example where newton's third law is stated wrong?

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!


What is law of differential mass?

well firt of all you look on the yahoo to get the answer because we dont have the answer


What is the singular form of sister-in-law?

The singular form of sister-in-law is sister-in-law.


What are the applications of differential equations?

Many real world problems can be represented by first order differential equation. Some applications of differential equation are radio-active decay and carbon dating, population growth and decay, warming/cooling law and draining a tank.