Similarity between RLC circuit and spring with damping

A mass m attached to a vertical spring (spring constant k) in gravity field:
The above system can be described with
$F=m a_y= mg -ky -b v_y$ or $m\frac{d^2y}{dt^2}+b\frac{dy}{dt}+ky=mg$

For a RLC circuit with DC source Vc:
The above system can be described with
$Vc=V_L+V_R+V_C$ or $L \frac{d^2Q}{dt^2}+I\frac{dQ}{dt}+\frac{Q}{C}=Vc$ ,
where $I=\frac{dQ}{dt}, V_R=I R, V_C=Q/C , V_L=L\frac{dI}{dt}$

The differential equation are the same for the above two systems.
So a damped spring system can be simulated with RLC circuit (or RLC circuit can be simulated with damped spring system,too!).

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)

Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License

Please feel free to post your ideas about how to use the simulation for better teaching and learning.
Post questions to be asked to help students to think, to explore.
Upload worksheets as attached files to share with more users.

Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!

Related Topics
	Subject	Started by	Replies	Views	Last post
	Pendulum with damping Dynamics	Fu-Kwun Hwang	0	15594	June 25, 2008, 01:10:08 pm by Fu-Kwun Hwang
	Critical damping of spring Dynamics	Fu-Kwun Hwang	0	18519	April 12, 2009, 04:41:25 pm by Fu-Kwun Hwang
	vertical spring in equilibrium (adjustable gravity,spring constant and mass) Dynamics	Fu-Kwun Hwang	3	12032	May 17, 2019, 03:05:19 pm by angelinajolie
	Similarity between RLC circuit and spring with damping electromagnetism	ahmedelshfie	7	8166	April 19, 2010, 12:00:27 am by Fu-Kwun Hwang
	Critical damping of spring dynamics	ahmedelshfie	1	9105	April 27, 2010, 08:25:46 pm by ahmedelshfie

	Author	Topic: Similarity between RLC circuit and spring with damping (Read 23248 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).