# Nomenclature¶

• $$a$$ : Radius of the loop [m]
• $$A$$ : Cross section area of the loop [m]
• $$A_F$$: Cross section area of ferrite core [m 2]
• $$A_w$$: Cross section area of winding [m 2]
• $$c = 3 \cdot 10^8$$ : Speed of light [m/s]
• $$C$$ : Circumference of the loop [m]
• $$D$$: Diameter of the loop antenna [m]
• $$D_F$$: Demagnetization factor of ferrite core
• $$D_w$$: Demagnetization factor of winding
• $$f$$: Frequency [Hz]
• $$l_F$$: Length of ferrite core [m]
• $$L_i$$: Self-inductance of the $$i$$ th coil [H]
• $$l_w$$: Length of winding [m]
• $$M_{ij}$$: Mutual inductance between the $$i$$ th coils
• $$N$$ : Number of turns of the loop
• $$R_i$$: Internal resistance of the $$i$$ th coil [Ω]
• $$R_{rad}^{air}$$: Radiation resistance of N-turn, air-cored loop [Ω]
• $$R_{rad}^{mc}$$: Radiation resistance of N-turn, magnetic-cored loop [Ω]
• $$v$$: Velocity of the EM wave [m/s]
• $$V_c$$: Fractional volume of the iron [m:sup:3]
• $$\kappa_{ij}$$: Coupling coefficient between the $$i$$ th coils
• $$\lambda$$: Wavelength ($$\lambda=v/f$$) [m]
• $$\mu$$: Magnetic permeability
• $$\mu_0$$: Magnetic permeability of air [$$\approx 4\pi\times 10^{-7}$$ H/m]
• $$\mu_{cer}$$ : Relative effective magnetic permeability of the core
• $$\mu_e$$: Effective magnetic permeability of the core
• $$\mu_e'$$: Real part of effective magnetic permeability of the core
• $$\mu_e''$$: Imaginary part of effective magnetic permeability of the core
• $$\mu_r$$: Relative magnetic permeability of air
• $$\sigma$$: Conductivity [S/m]

## Derivations from other quantities¶

• H = kg.m2.s-2.A-2
• Wb = V.s = kg.m2.s-2.A
• S = 1/Ω

# Abbreviations¶

• EM: ElectroMagnetic
• FEM: Finite Element Method
• MPW: Magnetoplated Wire
• MSW: Magnetically Shielded Wire
• RLC: Resistance, Inductance, Capacitance