Talabijin RLC (Siri da Paralel)

A cikin RLC circuit, muhimmanci mutanen resistor, inductor da capacitor suna da suka fadada wata voltage supply. Duk waɗannan mutanen su ne linear da kuma passive a baya. Passive components su ne maimakon da suke sarrafa energy ba kuma producing ita; linear elements su ne maimakon da ake da linear relationship bayan voltage da current.

An yi hanyoyin da suke fadada wadannan mutanen across voltage supply, amma hanyoyin mafi yawan da ake amfani da shi shine ya fi suka fadada wadannan mutanen domin series ko parallel. An yi amfani da RLC circuit don in taka property of resonance wanda LC circuit ke taka, amma a cikin wannan circuit an yi amfani da resistor don in zama oscillation ta yi shiga na gaba musamman saboda presence of resistor a cikin circuit.

Idan an yi fadada resistor, inductor da capacitor domin series with the voltage supply, za su iya kiran wannan circuit series RLC circuit.

Saboda duk waɗannan mutanen suka fadada series, current a cikin har element ce ne sama,

Saki VR zuwa voltage across resistor, R.
VL zuwa voltage across inductor, L.
VC zuwa voltage across capacitor, C.
XL zuwa inductive reactance.
XC zuwa capacitive reactance.

Total voltage a cikin RLC circuit ba ne equal to algebraic sum of voltages across the resistor, the inductor, and the capacitor; amma ita ce vector sum saboda, a cikin case of the resistor the voltage is in-phase with the current, for inductor the voltage leads the current by 90o and for capacitor, the voltage lags behind the current by 90o (as per ELI the ICE Man).

Saboda haka, voltages a cikin har component ba su ne in phase with each other; then they cannot be added arithmetically. The figure below shows the phasor diagram of the series RLC circuit. For drawing the phasor diagram for RLC series circuit, the current is taken as reference because, in series circuit the current in each element remains the same and the corresponding voltage vectors for each component are drawn in reference to common current vector.

The Impedance for a Series RLC Circuit

Impedance Z of a series RLC circuit is defined as opposition to the flow of current due circuit resistance R, inductive reactance, XL and capacitive reactance, XC. Idan inductive reactance ita ce mafi yawa da capacitive reactance i.e XL > XC, then the RLC circuit has lagging phase angle and if the capacitive reactance ita ce mafi yawa da inductive reactance i.e XC > XL then, the RLC circuit have leading phase angle and if both inductive and capacitive are same i.e XL = XC then circuit will behave as purely resistive circuit.
We know that
Where,
Substituting the values

Parallel RLC Circuit

A cikin parallel RLC Circuit an yi fadada resistor, inductor da capacitor domin parallel across a voltage supply. A cikin parallel RLC circuit, an yi amfani da applied voltage remains the same across all components and the supply current gets divided.

Total current drawn from the supply ba ne equal to mathematical sum of the current flowing in the individual component, but it is equal to its vector sum of all the currents, as the current flowing in resistor, inductor and capacitor are not in the same phase with each other; so they cannot be added arithmetically.

Phasor diagram of parallel RLC circuit, IR is the current flowing in the resistor, R in amps.
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