There is a direct equivalence between an RLC circuit with a sinusoidal driving v
ID: 2123674 • Letter: T
Question
There is a direct equivalence between an RLC circuit with a sinusoidal driving voltage and a mechanical system consisting of a mass (m) on a spring, with spring constant k driven by sinusoidal force F_ext. If the mass oscillates in the x direction with damping proportional to the velocity (x') , with damping parameter c, the system has equation of motion
mx''+cx'+kx=Fext
The mechanical system and RLC circuit are both resonant systems that oscillate at a maximum at a partcular frequency- the resonant frequency fr
Derive 2nd differential equation using Kirchoff's voltage law for the circuit and compare it to the equation of motion for the driven oscillator. What direct comparisons can you make between the RLC circuit here and the mechanical system?
Explanation / Answer
https://www.dropbox.com/s/6shalojvcgbtn60/RLC.jpg
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