This is a combination circuit driven by a single ac source. The impedances can be resistive and/or reactive.
Step 1--Prepare the equation for the total impedance of the circuit.
ZT = (Z1 + Z2) || Z3
Step 2--Apply Ohm's Law to determine the total current.
IT = VT / ZT
Step 3--Show that the voltage across Z3 is equal to the source voltage.
VZ3 = VT
Step4--Apply Ohm's Law to show the current for Z3.
IZ3 = VZ3 / Z3
Step 5--Use Kirchhoff's current law to determine the current through the series branch consisting of Z1 and Z2.
IZ1,2 = IT – IZ3
Step 6--Show expressions for current and voltage for Z1 and Z2
- IZ1 = IZ1,2
- VZ1 = IZ1 * Z1
- IZ2 = IZ1
- VZ2 = IZ2 * Z2
Check the results:
VZ1 + VZ2 = VT