Hi all,
just a quickie here on transformer theory. I want to know how input impedance varies with load impedance for (a) an iron core transformer and (b) an air core transformer. I'm trying to understand these devices for building a Tesla coil.
For a simple iron core transformer, the input impedance is given by the turns ratio squared times the load impedance. This means that as the load impedance tends to infinity, so does the input impedance. In contrast, for an air core transformer we have this formula:
V_S is the source voltage, Z_1 is the impedance on the primary side (e.g. a resistor wired in series), L_1 is the primary leakage inductance, L_2 is the secondary leakage inductance, M is the mutual inductance, and Z_L is the load impedance. I_1 is the current flowing in the primary
The above formula implies that if input impedance DOES NOT go up consistently with load impedance. If Z_L is zero, we get input impedance is Z_1. If load impedance is infinity, input impedance is Z_1 + jwL_1. Can anyone explain why input impedance doesn't go up consistently with load impedance in the air core case, but it does in the iron core case
just a quickie here on transformer theory. I want to know how input impedance varies with load impedance for (a) an iron core transformer and (b) an air core transformer. I'm trying to understand these devices for building a Tesla coil.
For a simple iron core transformer, the input impedance is given by the turns ratio squared times the load impedance. This means that as the load impedance tends to infinity, so does the input impedance. In contrast, for an air core transformer we have this formula:
V_S is the source voltage, Z_1 is the impedance on the primary side (e.g. a resistor wired in series), L_1 is the primary leakage inductance, L_2 is the secondary leakage inductance, M is the mutual inductance, and Z_L is the load impedance. I_1 is the current flowing in the primary
The above formula implies that if input impedance DOES NOT go up consistently with load impedance. If Z_L is zero, we get input impedance is Z_1. If load impedance is infinity, input impedance is Z_1 + jwL_1. Can anyone explain why input impedance doesn't go up consistently with load impedance in the air core case, but it does in the iron core case