# an exponential behavior ?

Discussion in 'Homework Help' started by CyborgBunny, Feb 22, 2011.

May 29, 2009
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2. ### narasimhan Member

Dec 3, 2009
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I'm not able to interpret the second diagram properly. But I guess that thing has some capacitance or inductance to exhibit that exponential transient behaviour.
A look at the chapter rc and rl circuits of william hayt (Engineering circuit analysis) will clear your doubts regarding the exponential behaviour(it also has mathematical explanation). Here's a short explanation

May 29, 2009
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4. ### narasimhan Member

Dec 3, 2009
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It has both Electric and magnetic field and the metal bar is in motion. That's tough. Only simple answer is that this has some sort of inductance/capacitance associated with it that causes that exponential behaviour(since it involves generator and magnetic field it should have it). Maybe someone else can answer it better

5. ### CyborgBunny Thread Starter Active Member

May 29, 2009
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maybe first order response?

6. ### Papabravo Expert

Feb 24, 2006
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Check your understanding of "linear". It does not mean that the responses of the system are linear functions. Is that what you were expecting?

http://en.wikipedia.org/wiki/Linear_system

Differentiation is definitely a linear operator within the context of the above article. So is integration

May 29, 2009
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8. ### t_n_k AAC Fanatic!

Mar 6, 2009
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I'm not sure what the link is between the problem in post #3 and the fuzzy working in post #1.

The problem in post #3 probably has a simple solution.

Since the current is driven by a constant current source the force on the sliding conductor will be constant with the constant vertical B field. The velocity of the sliding bar would then increase in an unbounded manner in the absence of friction.

Force=B*d*i=m*a where a is the acceleration

v(t)=1/2*a*t^2