What are RLC series circuits explain with diagram?
A series RLC circuit is one the resistor, inductor and capacitor are connected in series across a voltage supply. The resulting circuit is called series RLC circuit. A circuit and phasor diagram for a series RLS circuit has been shown below.
How do you draw a RLC circuit?
For a series RLC circuit, and impedance triangle can be drawn by dividing each side of the voltage triangle by its current, I. The voltage drop across the resistive element is equal to I*R, the voltage across the two reactive elements is I*X = I*XL – I*XC while the source voltage is equal to I*Z.
What is the mathematical model of RLC circuit?
LQ″+RQ′+1CQ=E0cosωt. cosϕ=k−mω2√(k−mω2)2+c2ω2andsinϕ=cω√(k−mω2)2+c2ω2. cosϕ=1/C−Lω2√(1/C−Lω2)2+R2ω2andsinϕ=Rω√(1/C−Lω2)2+R2ω2.
What happens when XL and XC are equal?
Circuits in which the inductive reactance equals the capacitive reactance (XL=XC) are called resonant circuits.
What is quality factor in RLC circuit?
The quality factor relates the maximum or peak energy stored in the circuit (the reactance) to the energy dissipated (the resistance) during each cycle of oscillation meaning that it is a ratio of resonant frequency to bandwidth and the higher the circuit Q, the smaller the bandwidth, Q = ƒr /BW.
What is the meaning of RLC?
RLC
| Acronym | Definition |
|---|---|
| RLC | Remote Level Control (electronics) |
| RLC | Royal Logistic Corps (UK armed forces) |
| RLC | Run Length Code |
| RLC | Release Complete |
What is the differential equation of RLC circuit?
The first equation is V = IR, otherwise known as Ohm’s Law where V is the voltage, i is the current, and R is the resistance. Next we look at the relationship for capacitance, which is C = Q/V , where Q is the electric charge, C is the capacitance and V is the voltage. Solving for V we get V = Q/C.
What is XL in RLC circuit?
In series RLC circuit, the condition XL(Inductive reactance) = XC (Capacitive reactance) is called resonance condition. In this condition the inductive reactance get cancelled by capacitive reactance. So,the entire RLC series circuit just acts as a resistive circuit. So,the power factor is unity.
What is critical resistance in RLC circuit?
The RLC circuit is critically damped when . If R is smaller or larger, the circuit is respectively underdamped or overdamped. For a 150H inductor, and a 10μF capacitor, the critical damping resistance is 7.7kΩ.