RL Series Circuit
It is a kind of circuit that consists of resistance R and Inductance L where resistance R connected in series with the coil which is having an inductance L.
Impedance (Z)
The total impedance in a series RL circuit is given by:
[Tex]Z=\sqrt{R^2 + (X_L)^2}[/Tex]
where, [Tex]( X_L = \omega L )[/Tex] is the inductive reactance and [Tex]( \omega )[/Tex] is the angular frequency [Tex]( \omega = 2\pi f )[/Tex], with [Tex]( f ) [/Tex]being the frequency of the AC source).
Voltage and Current Relationship
The voltage across the resistor is in phase with the current.
The voltage across the inductor [Tex](V_L)[/Tex] leads the current by 90 degrees.
The total voltage (V) is the phasor sum of [Tex]( V_R ) [/Tex]and [Tex]( V_L )[/Tex].
Current in the Circuit
The current (I) in a series RL circuit is the same through both the resistor and the inductor and is given by:
[Tex]I = \frac{V}{Z} = \frac{V}{\sqrt{R^2 + (\omega L)^2}}[/Tex]
where [Tex]( V )[/Tex] is the supply voltage.
Phase Angle (θ)
The phase angle between the total voltage and the current is given by:
[Tex]\tan(\theta) = \frac{X_L}{R} = \frac{\omega L}{R}[/Tex]
This means the current lags the voltage by [Tex]( \theta )[/Tex] degrees.
Power
The real power (P) consumed in the circuit is due to the resistor and is given by:
[Tex]P = I^2 R[/Tex]
The power factor (PF) is:
[Tex] \text{PF} = \cos(\theta) = \frac{R}{Z}[/Tex]
RL Circuit
In this Article, we will see the characteristics of circuits consisting of a resistor and an inductor in series (RL circuits). The primary focus will be on the response of an RL circuit to a step voltage and a voltage square wave. An RL circuit, also referred to as a resistor-inductor circuit, plays a foundational role in electrical engineering and inductive elements.
In this Article, We will be going through the RL Circuit, We First go through What is the RL Circuit, and We will see RL circuit formulas, Waveforms, and Power curves. At last, we will conclude our Article with its Advantages, Disadvantages, and Some FAQs.
Table of Content
- What is RL Circuit?
- Relationships in the RL Circuit
- Types
- Advantages
- Disadvantages
- Uses
- FAQs
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