- An RC circuit contains a resistor (10 Ω) and a capacitor (0.2 F) linked in series with an emf (elec-tromotive force) generating an alternating voltage, 10sin(2πt). Determine the differential equationwhich models this circuit and answer the questions below.
a) Plot the graph of the charge on the capacitor versus time for each of the initial conditionsQ(0) = −1, −0.75, −0.5, ..., 0, 0.25, 0.5, ...1 on the time interval [0, 15] in Maple. What appearsto happen to each of the solutions with the passage of time? Explain why this the term steady-state response is appropriate here.
b) What is the frequency of the emf? What appears to be the frequency of the steady stateresponse. Hint: Recall that in the function f(t) = sinωt, ω is called the angular frequency,and the period is given by T = 2π/ω, and the frequency is the reciprocal of the period. Thefrequency is measured in Hertz (Hz), as the number of cycles per second.
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determine the differential equation which models this circuit; plot the graph of char
- Thread starter mfm12a
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You have posted ~9 problems without showing one line of original work!!
- An RC circuit contains a resistor (10 Ω) and a capacitor (0.2 F) linked in series with an emf (elec-tromotive force) generating an alternating voltage, 10sin(2πt). Determine the differential equationwhich models this circuit and answer the questions below.
a) Plot the graph of the charge on the capacitor versus time for each of the initial conditionsQ(0) = −1, −0.75, −0.5, ..., 0, 0.25, 0.5, ...1 on the time interval [0, 15] in Maple. What appearsto happen to each of the solutions with the passage of time? Explain why this the term steady-state response is appropriate here.
b) What is the frequency of the emf? What appears to be the frequency of the steady stateresponse. Hint: Recall that in the function f(t) = sinωt, ω is called the angular frequency,and the period is given by T = 2π/ω, and the frequency is the reciprocal of the period. Thefrequency is measured in Hertz (Hz), as the number of cycles per second.
What are your thoughts?
Please share your work with us ...even if you know it is wrong.
If you are stuck at the beginning tell us and we'll start with the definitions.
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