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Both, E=Es + Ev = cB therefore, B= Es/c + Ev/c = Bs + Bv.
The electric and magnetic fields are quaternion fields consisting of a scalar field and a vector field.
Contemporary Physics has not realized this yet. Correct Relativity Theory is a manifestation of quaternion fields, consisting of a scalar field and three vector fields. This shows up in the Energy Momentum four vector, E= Es +cmV.
Actually the Lorentz Force is both scalar and vector: F=qvB = - qv.B + qvxB
it makes no sense consider only qvxB and to ignore qv.B.
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Why is electric current a scalar quantity?
For a physical quantity to be termed a vector quantity, having magnitude and direction is not enough. The quantity should obey the laws of vector addition too. Like the triangle law or the parallelogram law. As we know, if two currents meet at a junction, the total current of the resultant current will be the algebraic sum of the two current and not the vector sum.Sometimes, treating a current like a vector makes sense, like when the current though a conductor induces a magnetic field.
How are electromagnetic fields different from a magnetic field?
Electromagnetic fields can be varying in intensity. A magnet is static.
Is there a magnetic field around current carrying conductors?
yes.magnetic field present around the conductor.current and magnetic fields are inter related..with current we can produce magnetic field and vice versa
Only some currents are able to produce magnetic fields?
No. Any current produces a magnetic field. Look at Maxwell's equations.
What best describes magnetic field lines?
Magnetic fields are produced because of moving electric charges, and visualizing the very complex mathematical relationships that fall under the magnetic field might become much easier if magnetic field lines were used. A higher density of field lines means a stronger magnetic field. Keep in mind that those lines do not actually exist; they are drawn only to visualize the strength of the magnetic field.
