Fattar da Gaba da Indukta da Kondensara

Induktorin Daɗi Masu Kyau

Kowane induktor na da karamin daɗi masu kyau a kan daɗi. Idan yadda daɗi ya fi shi, inda daɗi ya fi shi, mafi kyau zai zama daidai na daɗi. Daɗi masu kyau ko kuma Q factor na induktor a wata ranar ω ana nufin tarihi mai daɗi na daɗi zuwa daɗi.

Saboda haka, don induktor, daɗi masu kyau na nufin

A nan, L shine daɗi na daɗi a Henrys da R shine daɗi na daɗi a Ohms. Saboda idan daɗi da daɗi suna da yarda daidai, Q ba sa yarda ba.

Q factor zai iya nufin kamar yadda ake bayyana

Ba ni bincika wannan bayani. Don haka, za a duba fittoci mai tsawon V na ranar ω radians/seconds a kan induktor L na daɗi na daɗi na daɗi R kamar yadda ake bayyana a Figure 1(a). Idan yadda daɗi ya fi shi, daɗi na daɗi ya fi shi, mafi kyau zai zama daidai na daɗi.
Idan yadda daɗi ya fi shi, daɗi na daɗi ya fi shi, mafi kyau zai zama daidai na daɗi


Figure 1. RL da RC circuits tunna a kan fittoci mai tsawo
Average power dissipated in the inductor per cycle
Hence, the energy dissipated in the induktor per cycle

Hence,

Capacitorin Daɗi Masu Kyau

Figure 1(b). shows a capacitor C with small series resistance R associated within. The Q-factor or the quality factor of a capacitor at the operating frequency ω is defined as the ratio of the reactance of the capacitor to its series resistance.
Thus,
In this case also, the Q is a dimensionless quantity since the unit of both reactance and resistance is the same and it is Ohm. Equation (2) giving the alternative definition of Q also holds good in this case. Thus, for the circuit of Figure 1(b), on application of a sinusoidal voltage of value V volts and frequency ω, the maximum energy stored in the capacitor.

Where, Vm is the maximum value of voltage across the capacitance C.
But if

then
Where, Im is the maximum value of current through C and R.
Hence, the maximum energy stored in capacitor C is
Energy dissipated per cycle

So, the quality factor of capacitor is

Often a lossy capacitor is represented by a capacitance C with a high resistance Rp in shunt as shown in Figure 2.
Then for the capacitor of Figure 2, the maximum energy stored in the capacitor
Where, Vm is the maximum value of the applied voltage. The average power dissipated in resistance Rp.


Figure 2. Alternative method of representing a lossy capacitor
Energy dissipated per cycle
Hence,

Source: Electrical4u.

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