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A series L-R-C circuit contains L = 1 henry, R = 20, C = 1/5 farad, and E (t) = e ^ 2t sin2tV voltios. a) Determine the instantaneous charge, q (t), on the capacitor if q (0) = 1 and q' (0) = 0. %3D b) What is the charge on the capacitor after a long time? c) Sketch the graph of the charge on the capacitor as a function of time.

A series L-R-C circuit contains L = 1 henry, R = 20, C = 1/5 farad, and E (t) = e ^ 2t sin2tV voltios. a) Determine the instantaneous charge, q (t), on the capacitor if q (0) = 1 and q' (0) = 0. %3D b) What is the charge on the capacitor after a long time? c) Sketch the graph of the charge on the capacitor as a function of time.

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differential equations A series L-R-C circuit contains L = 1 henry, R = 20, C = 1/5 farad, and E (t) = e ^ 2t sin2tV %3D voltios. a) Determine the instantaneous charge, q (t), on the capacitor if q (0) = 1 and q' (0) = 0. b) What is the charge on the capacitor after a long time? c) Sketch the graph of the charge on the capacitor as a function of time. d) Explain the graph of q (t).
Transcribed Image Text:differential equations A series L-R-C circuit contains L = 1 henry, R = 20, C = 1/5 farad, and E (t) = e ^ 2t sin2tV %3D voltios. a) Determine the instantaneous charge, q (t), on the capacitor if q (0) = 1 and q' (0) = 0. b) What is the charge on the capacitor after a long time? c) Sketch the graph of the charge on the capacitor as a function of time. d) Explain the graph of q (t).
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