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For the bridge rectifier circuit shown in the figure below; a. Given the input to be vs = Vssin⁡θ and assuming the minimum conducting angle to be very small (θ0 = 0); use the constant-voltage-drop diode model (VD) to show that: i. The average (or dc component) of the output voltage is Vo≅ (2/π)Vs − 2VD ii. The peak diode current is (Vs − 2VD)/R b. If vs is given to be 15 V (rms) sinusoid, VD = 0.7 V, and R = 150 Ω. Find: i. The numerical values for the quantities defined in part (a) of the question. ii. The PIV (Peak Inverse Voltage) numerical value.

For the bridge rectifier circuit shown in the figure below; a. Given the input to be vs = Vssin⁡θ and assuming the minimum conducting angle to be very small (θ0 = 0); use the constant-voltage-drop diode model (VD) to show that: i. The average (or dc component) of the output voltage is Vo≅ (2/π)Vs − 2VD ii. The peak diode current is (Vs − 2VD)/R b. If vs is given to be 15 V (rms) sinusoid, VD = 0.7 V, and R = 150 Ω. Find: i. The numerical values for the quantities defined in part (a) of the question. ii. The PIV (Peak Inverse Voltage) numerical value.

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For the bridge rectifier circuit shown in the figure below; a. Given the input to be v s = V s sin ⁡ θ and assuming the minimum conducting angle to be very small ( θ 0 = 0 ) ; use the constant-voltage-drop diode model ( V D ) to show that: i. The average (or dc component) of the output voltage is V o ≅ ( 2 / π ) V s − 2 V D ii. The peak diode current is ( V s − 2 V D ) / R b. If v s is given to be 15 V (rms) sinusoid, V D = 0.7 V , and R = 150 Ω . Find: i. The numerical values for the quantities defined in part (a) of the question. ii. The PIV (Peak Inverse Voltage) numerical value.

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4.19 For the half-wave rectifier circuit in Fig. 4.23(a), show the following: (a) For the half-cycles during which the diode conducts, conduction begins at an angle θ = sin−1⁡(VD/Vs) and terminates at (π−θ), for a total conduction angle of (π − 2θ). (b) The average value (dc component) of vo is Vo ≃ (1/π)Vs − VD/2. (c) The peak diode current is (V1−VD)/R. Find numerical values for these quantities for the case of 12−V (rms) sinusoidal input, VD≃0.7 V, and R = 100 Ω. Also, give the value for PIV. (c) Figure 4.23 (a) Half-wave rectifier. (b) Transfer characteristic of the rectifier circuit. (c) Input and output waveforms.

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