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23 Nov 2019
An electrical analog circuit that is equivalent to damping driven harmonic oscillator is the series LCD circuit,i.e an AC voltage source is connected to a resistor, inductor an capacitor. The sum of the voltages around the closed loop is zero, hence V - iR - L *di/dt - q/C = 0. Express this equation as 2nd order inhomogeneous ODE with driving term V =Vnot Cos omega t. Identify the term analogous to spring force and the damping force. What is the natural frequency, omga not ? What is the damping factor, gamma ? What are possible solution for q(t)?
An electrical analog circuit that is equivalent to damping driven harmonic oscillator is the series LCD circuit,i.e an AC voltage source is connected to a resistor, inductor an capacitor. The sum of the voltages around the closed loop is zero, hence V - iR - L *di/dt - q/C = 0. Express this equation as 2nd order inhomogeneous ODE with driving term V =Vnot Cos omega t. Identify the term analogous to spring force and the damping force. What is the natural frequency, omga not ? What is the damping factor, gamma ? What are possible solution for q(t)?
Nelly StrackeLv2
19 May 2019
