# Oscillations

The questions below are due on Wednesday April 08, 2020; 11:59:00 PM.

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The circuit shown below is initially at rest such that v_c(0^{-})=0 and i_L(0^{-})=0. At t=0, the current source steps up to produce 1 Amp.

The figures shown below plot four waveforms within the circuit following the current step. Their horizontal axes all show time measured in seconds [s]. Their vertical axes show either voltage measured in Volts [V] or current measured in Amperes [A] as appropriate. Note the initial slopes of the waveforms in Figures 1 and 3 are positive, while the initial slopes of the waveforms in Figures 2 and 4 are 0.

For each variable listed below, identify the corresponding figure by selecting the Figure number.

v_C

i_C

i_L

Estimate the numerical value of R [in \Omega]:

Estimate the numerical value of C [in F]:

Estimate the numerical value of L [in H]:

Estimate the numerical value of Q of the circuit:

If the resistance R is increased, the quality factor Q will...

If the capacitance C is increased, the quality factor Q will...

If the inductance L is increased, the quality factor Q will...

Assume that after a long time T, the current source steps down to turn off. For each statement below concerning the subsequent decay of stored energy, circle the correct completion.

If the resistance R is increased, the time at which the stored energy falls to half its value at time T will...

If the capacitance C is increased, the time at which the stored energy falls to half its value at time T will...

If the inductance L is increased, the time at which the stored energy falls to half its value at time T will...