I have a circuit as shown below
simulate this circuit – Schematic created using CircuitLab
Where R1, R2 are resistors. jX1 and jX3 are reactants, and jB2 is admittance. That being said, I'm not sure how to find Zin (Total input impedance). I have 2 theories:
- Convert jB2 to impedance by taking its inverse (Z = 1/Y) and find total impedance: $$ Zin = R1 + jX1 + ((R2 + jX3)||jB2) $$
- Just ignore the admittance in this calculation since it's not an impedance $$ Zin = R1 + jX1 + jx3 + R2 $$
I'm not sure which one is correct. Both seem to be correct to me. Any help would be appreciated!