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Question

The units of magnetic field strength and magnetic flux density, respectively are

The correct answer is
ampere metre$^{-1}$ and volt second metre$^{-2}$

Magnetic Field Strength Units Explained

Magnetic field strength, often denoted by the symbol H, is a measure of the intensity of a magnetic field generated by electric currents. It quantizes how a magnetic field affects magnetic materials. The standard SI unit for magnetic field strength is the Ampere per meter.

  • Unit: Ampere per meter (A/m)
  • LaTeX Representation: $A \, m^{-1}$

This unit represents the current flowing per unit length of a conductor that generates the magnetic field.

Magnetic Flux Density Units Explained

Magnetic flux density, typically represented by the symbol B, measures the strength and direction of a magnetic field. It describes the magnetic field in terms of the force it exerts on moving charges. The SI unit for magnetic flux density is the Tesla (T).

To understand the unit given in the options, let's break it down:

  • The unit is given as "volt second metre$^{-2}$".
  • In SI units, 1 Tesla (T) is equal to 1 Weber per square meter ($Wb/m^2$).
  • A Weber (Wb) is the SI unit of magnetic flux, and it is defined as one Volt-second ($V \cdot s$).
  • Therefore, 1 Tesla = 1 $Wb/m^2$ = 1 $V \cdot s / m^2$.
  • This is equivalent to "volt second metre$^{-2}$".
  • LaTeX Representation: $V \, s \, m^{-2}$

So, the units for magnetic field strength and magnetic flux density are ampere metre$^{-1}$ and volt second metre$^{-2}$, respectively. This matches the units provided in the options.

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Important Questions from Magnetostatics

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  2. A particle of charge Q moves with speed v, in a circle of radius R, in a uniform magnetic field of magnitude B perpendicular to the plane of the circle. The momentum of the particle is
  3. Which one of the following laws describes the force ($\vec{F}$) experienced by a charged particle of charge q, while moving through a magnetic field $\vec{B}$ with velocity $\vec{v}$?
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