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
The key difference between the Biot-Savart Law and Ampere's Law is that the Biot-Savart Law is used to calculate the magnetic field produced by a current-carrying wire at a specific point, while Ampere's Law is used to find the magnetic field around a closed loop due to the current passing through the loop.
The Biot-Savart law is typically applied in electromagnetic field calculations when dealing with steady currents in conductors, such as wires or coils. It helps determine the magnetic field produced by these currents at a specific point in space.
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.
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.
No, it was found by expirement.
The key difference between the Biot-Savart Law and Ampere's Law is that the Biot-Savart Law is used to calculate the magnetic field produced by a current-carrying wire at a specific point, while Ampere's Law is used to find the magnetic field around a closed loop due to the current passing through the loop.
The Biot-Savart law is typically applied in electromagnetic field calculations when dealing with steady currents in conductors, such as wires or coils. It helps determine the magnetic field produced by these currents at a specific point in space.
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.
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.
----> 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.
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.
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.
1) What is the definition of dielectric permittivity on the basis of Maxwell equations? 2) What is Poisson equation of Electrostatics? Derive the Poisson equation from Maxwell equations. 3) Write the Biot-Savar equation. What is the meaning? 4) Derive a wave equation of a plain electromagnetic wave from Maxwell equation.
The formula to calculate the magnetic field due to a finite wire is given by the Biot-Savart law, which states that the magnetic field (B) at a point near a current-carrying wire is directly proportional to the current (I) in the wire and inversely proportional to the distance (r) from the wire. The formula is: B ( I) / (2 r), where is the permeability of free space.
The theoretical field, often referred to as the electric or magnetic field, can be calculated using fundamental equations. For an electric field (E), use Coulomb's Law: ( E = \frac{k \cdot |q|}{r^2} ), where ( k ) is Coulomb's constant, ( q ) is the charge, and ( r ) is the distance from the charge. For a magnetic field (B), you can apply the Biot-Savart Law or Ampère's Law, depending on the situation. In both cases, consider the geometry and distribution of the charges or currents involved.