In the circuit of figure below, the diode is assumed to be perfect. The transformer secondary has zero resistance and delivers voltage ve(t)= V msin wt. 1. Draw the waveform of vs(t) when the capacitor is disconnected. 2. The capacitor being switched on, we assume that the start of the charge is at time t = 0. a. Give the expression of the current i(t); we will then suppose x(t) = wt b. Determine the angle x1(t) = wt, of the end of conduction of the diode. 3. When the diode has stopped conducting, what is the equivalent circuit in figure below? Write the differential equation governing this circuit. Give its general solution. Deduce the expression of vs(t) for the discharge phase of the capacitor. 4. Write the mathematical condition corresponding to the angle x2(t) = wt2 end of discharge of the capacitor. 5. Deduce the approximate waveform from the filtered voltage Vs(t).
Exercise 3:
In the circuit of figure below, the diode is assumed to be perfect. The transformer secondary has zero resistance and delivers voltage ve(t)= V msin wt.
1. Draw the waveform of vs(t) when the capacitor is disconnected.
2. The capacitor being switched on, we assume that the start of the charge is at time t = 0.
a. Give the expression of the current i(t); we will then suppose x(t) = wt
b. Determine the angle x1(t) = wt, of the end of conduction of the diode.
3. When the diode has stopped conducting, what is the equivalent circuit in figure below? Write the differential equation governing this circuit. Give its general solution. Deduce the expression of vs(t) for the discharge phase of the capacitor.
4. Write the mathematical condition corresponding to the angle x2(t) = wt2 end of discharge of the capacitor.
5. Deduce the approximate waveform from the filtered voltage Vs(t).
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