Electronics/Electronics Formulas/Series Circuits/Series RL

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Circuit Configuration[edit]

RL Series Open-Closed.svg

Formula[edit]

The total Impedance of the circuit

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle Z = Z_R + Z_L}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle Z = R + j\omega L}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle Z = \frac{1}{R} (1 + j\omega T)}

The 1st order Differential equation of the circuit in equilirium

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle L \frac{di}{dt} + i R = 0}

The root of the equation is a Exponential Decay function chracterised the Natural Response of the circuit


Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle Z = Z_R + Z_L}

Phase Shift , Change in Frequency relate to change in RL value

Summary[edit]

Series RL is characterised by

1st ordered Differential equation of the circuit at equilibrium.

Natural Reponse of the circuit is the Exponential Decay

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle i = Ae^(-\frac{t}{T})}