Rl Circuit
Rl Circuit - Related Videos
09:27
RC/RL/LC Circuits
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2023
Source: Yong P. Chen, PhD, Department of Physics & Astronomy, College of Science, Purdue University, West Lafayette, IN Capacitors (C), inductors (L), and resistors (R) are each an important circuit element with distinct behaviors. A resistor dissipates energy and obeys Ohm's law, with its voltage proportional to its current. A capacitor stores electrical energy, with its current proportional to the rate of change of its voltage, while an inductor stores magnetic energy, with its voltage...
01:14
RL Circuits
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2023
An RL circuit consists of a resistor and an inductor and may have a source of emf connected to it. The inductor in the circuit helps to prevent rapid changes in current, which can be helpful if a steady current is required but the external source has a fluctuating emf. Consider an open RL circuit connected to a source of constant emf. As soon as the circuit is closed, the current begins to increase at a rate that depends only on the value of the inductance in the circuit. The greater the...
01:14
RL Circuit without Source
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2024
When a DC source is suddenly disconnected from an RL (Resistor-Inductor) circuit, the circuit becomes source-free. Assuming the inductor has an initial current denoted as I0, the initial energy stored in the inductor can be determined. Applying Kirchhoff's voltage law around the loop of the circuit and substituting the voltages across the inductor and resistor yields a first-order differential equation. A logarithmic equation is obtained by rearranging the terms in this equation, integrating...
01:14
RL Circuit with Source
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2024
When an RL (Resistor-Inductor) circuit is connected to a DC source, the complete response of the circuit can be divided into two parts: the transient response and the steady-state response. The transient response of the circuit is its temporary reaction to the sudden application of the DC source. This response is characterized by a current that exponentially decays to zero as time approaches infinity. During this transitional period, the inductor behaves like a short circuit, causing the source...
01:24
Comparison between RL and RC circuits
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2025
An RC circuit consists of resistance and capacitance, while in an RL circuit, capacitance is replaced by an inductor. RL and RC circuits are first-order differential circuits that store energy. An RC circuit stores energy in the electric field, while an RL circuit stores energy in the magnetic field. When connected to a battery, an RC circuit charges the capacitor, causing the current to decrease from maximum to zero upon being fully charged. This increases the voltage across the capacitor from...
FAQs
The time constant τ = L/R sets the characteristic timescale for current change. Increasing inductance L makes the current respond more slowly, while increasing resistance R makes the response faster because the ratio becomes smaller. This relationship allows the exponential rise after connection and decay after disconnection to be predicted from the circuit’s component values.
A changing current causes the inductor to generate a back electromotive force that opposes the change. When the source is connected, this opposition prevents the current from changing instantaneously, producing a gradual rise. When the source is disconnected, the same effect opposes the current’s decrease and produces the corresponding exponential decay.
Resistance and inductance affect the transient through their ratio, L/R. A larger inductance strengthens the circuit’s resistance to rapid current change, whereas a larger resistance reduces the time constant. Examining these two components separately helps explain why circuits with different values can show different rates of current rise or decay even under the same switching conditions.
Connect the voltage source and observe how the current changes with time, then disconnect the source and examine the decay. Compare both responses with the exponential behavior predicted using τ = L/R. Repeating this analysis with known resistance and inductance values links the measured transient response to the circuit parameters.
The predictable current response supports switching systems, current regulation, and filters. It also provides a useful model for electromechanical devices such as relays and motors, where changes in current are relevant to operation. In each case, the resistance, inductance, and resulting time constant help describe how the system responds after a voltage change.
RL circuits provide a practical way to examine electromagnetic induction through a measurable transient current. The back electromotive force links the inductor’s response to changing current, while the exponential rise and decay illustrate transient behavior after switching. This makes the circuit useful for connecting electromagnetic principles with predictable time-dependent electrical responses.