I need to know the impedance of the network:
- Input (node Vz, impedance Z, current Iz)
- Series inductor L1 (reactance XL1, voltage VL, current Iz)
In series with a parallel tank consisting of:
- Capacitor C (reactance Xc, voltage Vx, current Ic)
- Inductor L2 (reactance XL2, voltage Vx, current IL2)
- Resistor R (resistance R, voltage Vx, current Ir)
So that Iz = vector sum of Ic + IL2 + Ir.
And also, the voltage Vx (on the parallel-resonant tank circuit) in terms of Vz, R, L1, L2 and C.
I think I've got Z right, but I've made two tries at Vx, coming up with similar equations (using the same process....humph, I need more sleep...), neither of which shows proper behavior when R > infinity at resonance (voltage is supposed to rise in proportion to Q!).
Tim
- Input (node Vz, impedance Z, current Iz)
- Series inductor L1 (reactance XL1, voltage VL, current Iz)
In series with a parallel tank consisting of:
- Capacitor C (reactance Xc, voltage Vx, current Ic)
- Inductor L2 (reactance XL2, voltage Vx, current IL2)
- Resistor R (resistance R, voltage Vx, current Ir)
So that Iz = vector sum of Ic + IL2 + Ir.
And also, the voltage Vx (on the parallel-resonant tank circuit) in terms of Vz, R, L1, L2 and C.
I think I've got Z right, but I've made two tries at Vx, coming up with similar equations (using the same process....humph, I need more sleep...), neither of which shows proper behavior when R > infinity at resonance (voltage is supposed to rise in proportion to Q!).
Tim