Filler circuit. Figure 30–33 shows a simple filler circuit designed to pass dc voltages with minimal attenuation and to remove, as much as possible, any ac components (such as 60-Hz line voltage that could cause hum in a stereo receiver, for example). Assume V in = V 1 + V 2 where V 1 is dc and V 2 = V 20 sin ωt, and that any resistance is very small. ( a ) Determine the current through the capacitor give amplitude and phase (assume R = 0 and X L > X C ). ( b ) Show that the ac component of the output voltage, V 2 out , equals ( Q/C ) − V 1 , where Q is the charge on the capacitor at any instant, and determine the amplitude and phase of V 2 out . ( c ) Show that the attenuation of the ac voltage is greatest when X C ≪ X L , and calculate the ratio of the output to input ac voltage in this case. ( d ) Compare the dc output voltage to input voltage. FIGURE 30–33 Problems 91 and 92.
Filler circuit. Figure 30–33 shows a simple filler circuit designed to pass dc voltages with minimal attenuation and to remove, as much as possible, any ac components (such as 60-Hz line voltage that could cause hum in a stereo receiver, for example). Assume V in = V 1 + V 2 where V 1 is dc and V 2 = V 20 sin ωt, and that any resistance is very small. ( a ) Determine the current through the capacitor give amplitude and phase (assume R = 0 and X L > X C ). ( b ) Show that the ac component of the output voltage, V 2 out , equals ( Q/C ) − V 1 , where Q is the charge on the capacitor at any instant, and determine the amplitude and phase of V 2 out . ( c ) Show that the attenuation of the ac voltage is greatest when X C ≪ X L , and calculate the ratio of the output to input ac voltage in this case. ( d ) Compare the dc output voltage to input voltage. FIGURE 30–33 Problems 91 and 92.
Filler circuit. Figure 30–33 shows a simple filler circuit designed to pass dc voltages with minimal attenuation and to remove, as much as possible, any ac components (such as 60-Hz line voltage that could cause hum in a stereo receiver, for example). Assume Vin = V1+ V2 where V1 is dc and V2 = V20sin ωt, and that any resistance is very small. (a) Determine the current through the capacitor give amplitude and phase (assume R = 0 and XL > XC). (b) Show that the ac component of the output voltage, V2 out, equals (Q/C) − V1, where Q is the charge on the capacitor at any instant, and determine the amplitude and phase of V2 out. (c) Show that the attenuation of the ac voltage is greatest when XC ≪ XL, and calculate the ratio of the output to input ac voltage in this case. (d) Compare the dc output voltage to input voltage.
A place has electrical outlets which is supply alternating currents with V rms = 114V and I rms = 11A. If at time t = 2.10 ms, the instantaneous voltage is half the maximum, what is the frequency of oscillation in Hz of the alternating currents and voltages?
Note: 39.68 is incorrect
For a 120-V, 60-Hz voltage, a current of 70 mA passing through the body for 1.0 s could be lethal. What must be the impedance of the body for this to occur?
. When electric lights are operated on low-frequency ac (say,5 Hz), they flicker noticeably. Why?
Chapter 30 Solutions
Physics for Scientists and Engineers, Vol 1 (Chapters 1-20)
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