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Mth 279

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Practice test 2

This was a question on practice test 2 that you emailed out.

2. An unforced LRC circuit has equation Q '' + R Q ' + Q / ( L C) = 0. If C = .0072 Farads and L = .02 Henries, what is the form of the general solution? If the circuit is driven by voltage V(t) = 4 volts * sin(100 rad/s * t), what is the general solution for which Q(0) = 0 and Q ' (0) = 0? Describe the behavior of the circuit in its transient stage (near t = 0) and in in the long term.

How do we solve for the general solution without knowing R???

Also, where does V(t) come in? Is that g(t) for this equation?

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A value should have been given for R.

A good value to assume would be R = 20 000 ohms.

V(t) is the driving voltage. The left-hand side has units of current, so the right-hand side would be I(t) = V(t) / R. You naturally need R for this expression as well.
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@& A value should have been given for R. A good value to assume would be R = 20 000 ohms. V(t) is the driving voltage. The left-hand side has units of current, so the right-hand side would be I(t) = V(t) / R. You naturally need R for this expression as well. *@

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@&
A value should have been given for R.

A good value to assume would be R = 20 000 ohms.

V(t) is the driving voltage. The left-hand side has units of current, so the right-hand side would be I(t) = V(t) / R. You naturally need R for this expression as well.
*@