A 300 N resistor R and a 200 µF capacitor are connected in series across an ac power supply which has a voliage Vin and oscillates at an angular frequency w. R a) Determine that the ratio of the output voltage, Voutput, across the capacitor to the input voltage Vinput from the source as a function of the angular frequency o. b) What value does this ratio approach as the frequency tends to zero? i) ii) as the frequency tends to infinity? Voutput c) Plot a graph of the as a function of the angular frequency w. Vinput d) At what frequency, f, is the ratio equal to 0.5 when R = 300 N and C = 200 µF? Solution

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4. A 300 Q resistor R and a 200 uF capacitor are connected in series across an ac
power supply which has a voliage Vin and oscillates at an angular frequency @.
R
C
a) Determine that the ratio of the output voltage, Voutput, across the capacitor
to the input voltage Vinput from the source as a function of the angular
frequency o.
b) What value does this ratio approach
as the frequency tends to zero?
i)
as the frequency tends to infinity?
Voutput
c) Plot a graph of the
as a function of the angular frequency @.
Vinput
d) At what frequency, f, is the ratio equal to 0.5 when R = 300 Q and C = 200
µF?
Solution
Transcribed Image Text:4. A 300 Q resistor R and a 200 uF capacitor are connected in series across an ac power supply which has a voliage Vin and oscillates at an angular frequency @. R C a) Determine that the ratio of the output voltage, Voutput, across the capacitor to the input voltage Vinput from the source as a function of the angular frequency o. b) What value does this ratio approach as the frequency tends to zero? i) as the frequency tends to infinity? Voutput c) Plot a graph of the as a function of the angular frequency @. Vinput d) At what frequency, f, is the ratio equal to 0.5 when R = 300 Q and C = 200 µF? Solution
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