ETS-Lindgren 7604 Shielded Coil Antenna - Manual (Page 21)

Appendix B: Derivation of General Equation
Following is an explanation of the derivation of the general equation for
conversion factor.
From magnetic loop theory the open circuit voltage induced in the coil is:
E QUATION (A1)
When the coil is loaded the voltage V L across the load R L is proportional to the
induced voltage across the coil impedance and the load: R c + jX c
.
E QUATION (A2)
Rearranging (A2):
E QUATION (A3)
Finding the magnitude of the voltage ratio:
Derivation of General Equation | 21