Question 15.7: C alculate the dc and ac components of the output signal acr...
C alculate the dc and ac components of the output signal across load R_L in the circuit of Fig. 15.11 . Calculate the ripple of the output waveform.
DC Calculation We obtain
Eq. (15.13): V_{ dc }^{\prime}=\frac{R_{L}}{R+R_{L}} V_{ dc }=\frac{5 k \Omega}{500+5 k \Omega}(150 V )= 1 3 6 . 4 V
AC Calculation The RC -section capacitive impedance is
Eq. (15.15): X_{C}=\frac{1.3}{C}=\frac{1.3}{10}=0.13 k \Omega=130 \Omega
The ac component of the output voltage, calculated using Eq. (15.14),
V_{r}^{\prime}( rms ) \approx \frac{X_{C}}{R} V_{r}( rms ) (15.14)
is
V_{r}^{\prime}( rms )=\frac{X_{C}}{R} V_{r}( rms )=\frac{130}{500}(15 V )= 3 . 9 VThe ripple of the output waveform is then
r=\frac{V_{r}^{\prime}( rms )}{V_{ dc }^{\prime}} \times 100 \%=\frac{3.9 V }{136.4 V } \times 100 \%= 2 . 8 6 \%Related Answered Questions
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