Question

Maxwell is the unit of
A. magnetic susceptibility
B. intensity of magnetization
C. magnetic flux
D. magnetic permeability

Answer 1

Hint:The Maxwell (Mx) isn’t a S.I unit. It is a part of the C.G.S unit. The C.G.S refers to a centimeter-gram-second unit system. The S.I unit of magnetic flux is weber (Wb).


Complete step by step solution:
The unit Maxwell (Mx) was named in honor of James Clark Maxwell, who formulated the unified theory of electromagnetism.
The unit of Maxwell is derived from Faraday’s law for magnetic induction. According to Faraday’s law, the emf induced in a circuit of a loop of wire is given by the negative time derivative of the magnetic flux flowing through the loop.
The amount of emf induced in a single loop of wire according to Faraday’s law is:${{E}_{ind}}=-\dfrac{d{{\phi }_{B}}}{dt}$, where (${{\phi }_{B}}$) is the number of magnetic flux passing through the single loop of wire.
Integrating the above equation, we get:${{\phi }_{B}}(t)=-\int{{{E}_{ind}}dt}\Rightarrow {{\phi }_{B}}(t)=-{{E}_{ind}}t$.
Since the unit of induced emf is Volt and that of time is second as per the S.I unit.
Hence, the S.I unit of magnetic flux (${{\phi }_{B}}$) is Weber (Wb) given by Volt-Sec.
Further, the dimension of the unit Maxwell and Weber are the same, however, the value of \[1Mx={{10}^{-8}}Wb={{10}^{-8}}Vs\].

Therefore, Maxwell is the unit of magnetic flux.


Note:The magnetic susceptibility $\left( {{\chi }_{m}} \right)$is a dimensionless constant, used to define the relation between the magnetization of a material (M) and magnetic field strength (H), give by: $M={{\chi }_{m}}H$.
The Intensity of Magnetization (I), sometimes also referred to as the magnetic polarization is measured in Tesla (T). It can be found using: $I={{\mu }_{0}}M$.
The magnetic permeability\[(\mu )\] of a material is defined as the ability of a material to support the formation of a magnetic field. It can be found using:\[\mu =\dfrac{B}{H}\]having the units of $N.{{A}^{-2}}$.