can you set up a differential equation for the charge stored on the capacitor, by making an analogy to motion, can you show this represents SHM of the charge. what is the natural frequency of the oscillations?
To both of our surprise there is a direct analogy between electrical components and mechanical systems. Mercedes has presented a simulation of their suspension system that performed million simulation routines by using coils capacitors and resistances. Yes my friend a capacitor an inductor and a coil can be directly related to a dumping or suspension or oscillating system in mechanical system where potential and kinetic energy and losses of course can be correlated with capacitance (electrical and magnetic energy), inductance and resistance. I am not sure 100% of what you are trying to say and what you have in mind but I am sure that you can make something of it. Or at least simulate it and represent it right. The reason we ended in this is because the analogy was more than obvious and because it is easier to simulate circuits and get reading (multiple set) than to perform test with mechanical sensors etc. Nice question Keep thinking (do not get your mind wasted though mate.!)
Why do you need a differential equation? Is work a derivative of power? Is capacitance a derivative of power? I can't remember but I think it is they are. If you want to compare electrical derivatives to mechanical derivatives, then do the derivatives for the electrical equations and then do the derivatives for the mechanical equations and see if you get the same answer. I doubt that this text box can handle calculus. I know that I cna't do calculous in this textbox.I don't even like doing systems of equations in it. Thanks for the two points.
you can find this in any book on elementary physics!
