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BREAD
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Why does the second term become zero??
Simple calculation about Magnetic induction
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In summary, magnetic induction is a measure of the strength of a magnetic field, given in units of tesla (T) or gauss (G). It can be calculated using the equation B = μ₀H, where μ₀ is the permeability of free space and H is the magnetic field strength. Factors that affect magnetic induction include distance from the source, magnet size and shape, and nearby magnetic fields. It differs from magnetic field strength, which measures the force on a current-carrying wire. In everyday life, magnetic induction is used in electric motors, generators, transformers, MRI machines, and magnetic levitation trains.
Why does the second term become zero??
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Because it does not exist. If, in the previous equation, you substitute the gradient with some vector ##\vec{V} = \vec{\nabla} \left ( \frac{1}{|\vec{x}-\vec{x}'|} \right )##, you will see why. There is no vector identity in the front of the book to be used.BREAD said:
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vela
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The derivative ##\nabla## is with respect to ##\vec{x}##, not ##\vec{x}'##.BREAD said:
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FAQ: Simple calculation about Magnetic induction
What is magnetic induction?
Magnetic induction, also known as magnetic flux density, is a measure of the strength of a magnetic field. It is given in units of tesla (T) or gauss (G) and is represented by the symbol B.
How do you calculate magnetic induction?
Magnetic induction can be calculated using the equation B = μ₀H, where μ₀ is the permeability of free space (4π x 10^-7 Tm/A) and H is the magnetic field strength in amperes per meter (A/m).
What factors affect magnetic induction?
The strength of a magnetic field is affected by the distance from the source of the field, the size and shape of the magnets, and the materials used in the magnets. It is also affected by the presence of other magnetic fields nearby.
What is the difference between magnetic induction and magnetic field strength?
Magnetic induction and magnetic field strength are related but distinct concepts. Magnetic induction is a measure of the strength of a magnetic field, while magnetic field strength is a measure of the force exerted by a magnetic field on a current-carrying wire.
How is magnetic induction used in everyday life?
Magnetic induction has many practical applications, such as in electric motors, generators, and transformers. It is also used in MRI machines for medical imaging and in magnetic levitation trains.