2.5. Impedance and Admitance

Solution: İn phasor form Example 2.9.

İn phasor the circuit comes….

Example 2.9. The voltage across the capacitor is…

2.6. The Kirchhoff Law in Frequency Domain  In the sinusoidal steady-state, each voltage may be written in cosine form.  This can be written as

2.6. The Kirchhoff Law in Frequency Domain  or  

2.6. The Kirchhoff Law in Frequency Domain

2.6. İmpedance Combinations  Applying KVL around the loop gives,

2.6. İmpedance Combinations  The eqivalent impedance at the input terminals is;

2.6. İmpedance Combinations  İf N=2;  The current trough the impedance Voltage division relationship

2.6. İmpedance Combinations  Applying KCL at the top node;  The eqivalent impedance is;  The eqivalent admitans is;

2.6. İmpedance Combinations  İf N=2;  Eqivalent impedance is;  Also;  The current in the impedances; current division relationship

2.6. İmpedance Combinations  Delta-to-wye or wye-to-delta transformations can be applied…

2.6. İmpedance Combinations

Example 2.10.

Example Solution:  First we must transform time-domain circuit to the phasor domain.

Example 2.11.

Example Solution:  The delta network connected to nodes a,b and c can be converted to the Y network.

Example 2.12.