Beatrice Lang
In electrical engineering, RL refers to a type of circuit known as a resistor-inductor circuit, or RL filter or RL network. It is one of the simplest analogue infinite impulse response electronic filters. An RL circuit is composed of resistors and inductors driven by a voltage or current source.
| Characteristics | Values |
|---|---|
| Full Form | Resistor-Inductor |
| Other Names | RL Filter, RL Network, LR Circuit, RL Series Circuit |
| Composition | A combination of inductors and resistors |
| Connection | Connected in either parallel or series |
| Driven By | Current (parallel) or voltage (series) |
| Power Source | Voltage or current source |
| Total Power | Sum of power dissipated by the resistor and power absorbed by the inductor |
| Time Constant | τ = L/R |
| Zero-Input Response | Describes the behavior of the circuit after it has reached constant voltages and currents and is disconnected from any power source |
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What You'll Learn
- RL circuits are composed of resistors and inductors, driven by a voltage or current source
- RL circuits can be a series or parallel circuit
- RL circuits consume energy due to the presence of a resistor
- The total power in an RL circuit is given by adding the power dissipated by the resistor and the power absorbed by the inductor
- RL circuits can form a single-pole filter
RL circuits are composed of resistors and inductors, driven by a voltage or current source
RL circuits, or RL filters/networks, are a type of electrical circuit composed of resistors and inductors, driven by a voltage or current source. They are called RL circuits because they consist of a resistor (R) and an inductor (L) connected in series or in parallel.
In an RL circuit, the resistor and inductor are connected in series, so the current in both elements and the circuit remains the same. The voltage across the inductor tends towards 0 as time passes, while the voltage across the resistor tends towards V. This is because the inductor will only have a voltage across it if the current in the circuit is changing. Once the circuit reaches its steady state, there is no further change in current, and therefore no inductor voltage.
The time it takes for the voltage across the component to either fall (across the inductor) or rise (across the resistor) to within 1/e of its final value is known as the time constant, denoted by the symbol τ. This time constant is calculated using the equation τ = L/R.
RL circuits are used in a variety of applications, including communication systems, radio wave transmitters, oscillator circuits, RF amplifiers, and filtering circuits. They are also used in the magnification of current and voltage.
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RL circuits can be a series or parallel circuit
In the world of electronics, an RL circuit, also known as an RL network or RL filter, is a significant type of circuit. It consists of a combination of resistors and inductors and is typically driven by a power source. The inductor and resistor in an RL circuit can be connected in parallel or series with each other. Depending on the configuration, they are either driven by current (in a parallel setup) or voltage (in a series setup).
A first-order RL circuit is composed of one resistor and one inductor, either in series driven by a voltage source or in parallel driven by a current source. It is one of the simplest analogue infinite impulse response electronic filters. The fundamental passive linear circuit elements are the resistor (R), capacitor (C) and inductor (L). They can be combined to form the RC circuit, the LC circuit and the RLC circuit, with the abbreviations indicating which components are used.
In an RL series circuit, the current flow lags behind the voltage through an angle due to the effect of the inductor. Therefore, the power factor (PF) can be defined as the cosine of the lagging angle. The power factor = Cos ϕ = Resistance/Impedance = R/Z. A circuit that contains a resistance R connected in series with the coil having an inductance L is known as an RL Series Circuit. When a supply voltage (V) is applied across the current element I flowing in the circuit, the current flowing across both elements is the same as they are said to be connected in the series connection with each other.
The total power in a series RL circuit is given by adding the power dissipated by the resistor and the power absorbed by the inductor. The electrical power factor cosθ is defined as the ratio of the true power to apparent power. The formula for inductive reactance is XL = 2πfL. So, if frequency increases, inductive reactance XL also increases, and if inductive reactance increases, total impedance of the circuit also increases, leading to a variation in phase angle θ with frequency.
In an RL parallel circuit, the R and L are connected in parallel. The parallel property of the circuit is defined as the division of current in branches. The resistor provides heat loss, and the inductor gives the magnetic store energy. The parallel RL circuit is generally of less interest than the series circuit unless fed by a current source. This is because the output voltage (Vout) is equal to the input voltage (Vin), so this circuit does not act as a filter for a voltage input signal.
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RL circuits consume energy due to the presence of a resistor
RL circuits, or RL filters/networks, are electrical circuits that consist of a resistor (R) and an inductor (L) connected together, driven by a voltage or current source. The presence of a resistor in the circuit causes it to consume energy.
In an RL circuit, the resistor and inductor can be connected in series or in parallel. When connected in series, the current in both elements and the circuit remains the same, i.e., IR = IL = I. The total power in a series RL circuit is given by adding the power dissipated by the resistor and the power absorbed by the inductor. The power dissipated by the resistor is in the form of heat and is given by the equation P = I^2 * R (watts).
In contrast, when the resistor and inductor are connected in parallel and supplied through a voltage source, the output voltage (Vout) is equal to the input voltage (Vin), resulting in no voltage drop across the resistor and inductor. This parallel configuration is generally of less interest than the series configuration because it does not act as a filter for a voltage input signal.
The presence of a resistor in an RL circuit leads to energy consumption, which is similar to what is observed in RC and RLC circuits. The consumption of energy in RL circuits can be understood through the concept of the time constant, denoted as τ. The time constant represents the time it takes for the current in the circuit to reach its maximum steady-state value. It is calculated using the equation τ = L/R, where L is the inductance and R is the resistance. As the resistance increases, the time constant decreases, resulting in faster voltage changes across the inductor and resistor.
The behaviour of an RL circuit after it has reached constant voltages and currents and is disconnected from any power source is described by its zero-input response (ZIR) or natural response. This response reveals how the circuit behaves as a filter, either passing or rejecting certain frequencies. By taking the output across the resistor, high frequencies are rejected, and the circuit acts as a low-pass filter. Conversely, when the output is taken across the inductor, high frequencies are passed, and the circuit functions as a high-pass filter.
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The total power in an RL circuit is given by adding the power dissipated by the resistor and the power absorbed by the inductor
An RL circuit, also known as an RL filter or RL network, is an electrical circuit composed of a resistor (R) and an inductor (L) connected together. The resistor and inductor can be connected in series or in parallel. In a series RL circuit, the current flowing in both the elements and the circuit remains the same. In a parallel RL circuit, the output voltage (Vout) is equal to the input voltage (Vin).
The total power in a series RL circuit is given by adding the power dissipated by the resistor and the power absorbed by the inductor. The power dissipated by the resistor is in the form of heat, and it can be calculated using the formula P = I^2 x R (watts). The power absorbed by the inductor is its magnetic energy, and it can be calculated using the formula P = VI (watts).
The time constant of an RL circuit, denoted as τ, is the time it takes for the current in the circuit to reach its maximum steady-state value. It is calculated using the formula τ = L/R, where L is the inductance and R is the resistance. The time constant also represents the rate at which energy is stored in the inductor in the form of magnetic potential energy.
The behaviour of an RL circuit can be analysed using a phasor diagram, which shows the phase relationships between the voltage and current in the resistor and inductor. The impedance of an RL circuit combines resistance and inductive reactance, and it can be calculated using the formula Z = √(R² + XL²). The power factor of an RL circuit is the ratio of true power to apparent power, indicating the efficiency of power usage.
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RL circuits can form a single-pole filter
RL stands for Resistor-Inductor in electrical terms. An RL circuit, also known as an RL filter or RL network, is an electrical circuit composed of resistors and inductors driven by a voltage or current source. A first-order RL circuit is composed of one resistor and one inductor, either in series driven by a voltage source or in parallel driven by a current source.
The zero-input response (ZIR), also called the natural response, of an RL circuit describes the behaviour of the circuit after it has reached constant voltages and currents and is disconnected from any power source. It is called the zero-input response because it requires no input. Analysis of the frequency domain expressions will show which frequencies the circuits (or filters) pass and reject. This analysis rests on a consideration of what happens to these gains as the frequency becomes very large and very small. This shows that, if the output is taken across the inductor, high frequencies are passed and low frequencies are attenuated (rejected). Thus, the circuit behaves as a high-pass filter. If, however, the output is taken across the resistor, high frequencies are rejected and low frequencies are passed. In this configuration, the circuit behaves as a low-pass filter.
The total power in a series RL circuit is given by adding the power dissipated by the resistor and the power absorbed by the inductor. The electrical power factor cosθ is defined as the ratio of true power to apparent power. The base of the impedance triangle represents resistance. The resistance is independent of frequency; so, if frequency increases or decreases, resistance remains constant. The formula for inductive reactance is XL = 2πfL. So, if frequency increases, inductive reactance XL also increases, and if inductive reactance increases, total impedance of the circuit also increases, leading to a variation in phase angle θ with frequency.
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Frequently asked questions
RL stands for Resistor- Inductor in electrical circuits.
An RL circuit, also known as an RL filter or RL network, is an electric circuit composed of resistors and inductors driven by a voltage or current source.
A series RL circuit is when the resistor, R, and the inductor, L, are combined in series with a voltage source. The current flowing in the whole circuit is I amps, and the current through the resistor and the inductor is IR and IL, respectively.
A parallel RL circuit is when the resistor and inductor are connected in parallel and supplied through a voltage source. The output voltage (Vout) is equal to the input voltage (Vin), so this circuit does not act as a filter for a voltage input signal.
