Electronics Handbook/Circuits/Parallel Circuit

Series Circuit Electronic components R,L,C can be connected in parallel to form RL, RC, LC, RLC series circuit /RC Parallel/ /RL Parallel/ /LC Parallel/ /RLC Parallel/ Parallel RC 200px The total Impedance of the circuit ) T = RC At Equilibrium sum of all voltages equal zero ln V = T = RC Circuit's Impedance in Polar coordinate Phase Angle Difference Between Voltage and Current There is a difference in angle Between Voltage and Current . Current leads Voltage by an angle θ Summary RL series circuit has a first order differential equation of voltage Which has one real root The Natural Response of the circuit at equilibrium is a Exponential Decrease function Phase Angle Difference Between Voltage and Current Parallel RL 100px The total Circuit's Impedance In Rectangular Coordinate At Equilibrium sum of all voltages equal zero ln I = I = I = I = Circuit's Impedance In Polar Coordinate Phase Angle of Difference Between Voltage and Current Summary In summary RL series circuit has a first order differential equation of current Which has one real root The Natural Response of the circuit at equilibrium is a Exponential Decrease function Phase Angle of Difference Between Voltage and Current Parallel LC Natural Response The Total Circuit's Impedance in Rectangular Form . ZL = ZC . ZL = ZC Circuit's Natural Response at equilibrium The Natural Response at equilibrium of the circuit is a Sinusoidal Wave Resonance Response At Resonance, The total Circuit's impedance is zero and the total volages are zero The Resonance Reponse of the circuit at resonance is a Standing (Sinusoidal) Wave Parallel RLC Natural Response 100px At Equilibrium, the sum of all voltages equal to zero Với và Khi The response of the circuit is an Exponential Deacy Khi The response of the circuit is an Exponential Deacy Khi The response of the circuit is an Exponential decay sinusoidal wave Điện Kháng Tổng Mạch Điện Resonance Response The total impedance of the circuit At resonance frequency the total impedance of the circuit is Z = R ; at its minimum value and current will be at its maximum value : Look at the circuit, at , Capacitor opens circuit . Therefore, current is equal to zero . At , Inductor opens circuit . Therefore, current is equal to zero Summary Series RL, RC Series RC and RL has a Character first order differential equation of the form that has Decay exponential function as Natural Response f(t) = i(t) for series RL f(t) = v(t) for series RC Series LC, RLC Series LC and RLC has a Characteristic Second order differential equation of the form At equilibrium , the Natural Response of the circuit is Sinusoidal Wave At Equilibrum , the Resonance Response is Standing Wave Reponse