Practical Electronics/Series RL

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Series RC[edit]

Electric circuit of two components R and L connected in series

Circuit analysis[edit]

Circuit's Impedance[edit]

In Rectangular coordinate

In Polar coordinate

The value of depend on the value of R and L . Therefore when the value of R or L changed the value of Phase angle difference between Current and Voltage , Frequency , and Angular of Frequency also change

Circuit's Response[edit]

Natural Response of the cicuit can be obtained by setting the differential equation of the circuit to zero

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 V = A e^ -(\frac{1}{RC})t }
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 V = e^c = IR }

The natural reponse of the circuit is an exponential decrease

Summary[edit]

Circuit Series RL
Configuration
RLC series circuit.png
Impedance
Diferenial Equation
Root of the equation
Phase Angle Difference between Voltage and Current
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 t = \frac{2 \pi}{Tan\theta} \frac{R}{L}}