Question

what is the physical meaning of tg(theta) and what is the
difference between tg(theta),cos(theta) and power factor in RLC
circuit?Provide a graphical explanation for above.

Answer #1

In a RLC circuit with AC currents the voltage and the current are not in phase, there is a phase difference.

Tan()
= (X_{c} - X_{L})/R , ratio of reactive load to
resistive load.

is the angle by which current leads the voltage.

Cos()
= R/ sqrt( R^{2} + (X_{c} -X_{L}) ) , is
the ratio of resistive load to the total impedence.

In an AC circuit, current and voltage vary with time and also they differ in time, there is a phase difference as seen above depending on the type of load.

The power cannot be computed straight by IV as in the case of DC circuits .

Averaging the instantaneous power over one complete cycle

P = V_{rms}I_{rms} Cos()
,

Cos() is called the power factor.

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