GATE EC 2016 Set 2 — Question 49
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Communications → Digital Modulation & Detection → Bandwidth of Digital Modulation
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Question
The figure shows a half-wave rectifier with a filter capacitor. The load draws a constant current A from the rectifier. The figure also shows the input voltage , the output voltage and the peak-to-peak voltage ripple on . The input voltage is a triangle-wave with an amplitude of V and a period of ms.
📷 Figure: Half-wave rectifier (source V_i, diode, 475 uF capacitor with voltage V_C, constant current load I_O = 1 A) beside waveforms of the triangular input V_i (+/-10 V) and the sawtooth-like output V_C with peak-to-peak ripple u
The value of the ripple (in volts) is ________Correct answer
1.9 to 2.2
Solution
Discharge interval. While the diode is off, the capacitor alone supplies the constant load current, so falls linearly with slopeCharging interval. The diode conducts when the rising edge of catches up with ; then follows up to the V peak. The triangle rises V in ms, i.e. at V/ms.Let be the discharge time and the charging time in one period, ms. In steady state the fall during discharge equals the rise during charging:(The common approximation V gives nearly the same value.)Answer: V (accepted range 1.9 to 2.2)
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