4. You can easily find the time constant if you are given a graph of voltage across a discharging capacitor as a function of time. When t = Tc = RC, the voltage across the capacitor is AVc(t = Tc) = AV, e¹≈ 0.37 AV Therefore the time constant is just how long it takes for AVC(t) to reach 37% of its initial value. The graph shows the voltage across a discharging 0.2 μF capacitor as a function of time. Use the following steps to determine the resistance. a. What is 37% of the initial voltage? 21 b. How long does it take (after discharge starts) for the voltage to reach 37% of the initial voltage? This time is equal to the time constant. c. Use your time constant from (b) to determine the resistance. AV (Volts) 2 1.5 1 0.5 %40 80 120 160 time (milli-sec)
4. You can easily find the time constant if you are given a graph of voltage across a discharging capacitor as a function of time. When t = Tc = RC, the voltage across the capacitor is AVc(t = Tc) = AV, e¹≈ 0.37 AV Therefore the time constant is just how long it takes for AVC(t) to reach 37% of its initial value. The graph shows the voltage across a discharging 0.2 μF capacitor as a function of time. Use the following steps to determine the resistance. a. What is 37% of the initial voltage? 21 b. How long does it take (after discharge starts) for the voltage to reach 37% of the initial voltage? This time is equal to the time constant. c. Use your time constant from (b) to determine the resistance. AV (Volts) 2 1.5 1 0.5 %40 80 120 160 time (milli-sec)
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ISBN:9781305952300
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![4. You can easily find the time constant if you are given a graph of voltage across a discharging capacitor as a function
of time. When t = Tc = RC, the voltage across the capacitor is
AV (t = Tc) = AV, e¹≈ 0.37 AV
Therefore the time constant is just how long it takes for AV (t) to reach 37% of its initial value.
The graph shows the voltage across a discharging 0.2 μF capacitor as a function of time. Use the following steps to
determine the resistance.
a. What is 37% of the initial voltage?
21
b. How long does it take (after discharge starts) for the voltage to reach
37% of the initial voltage? This time is equal to the time constant.
c. Use your time constant from (b) to determine the resistance.
AV (Volts)
2
1.5
0.5
%40 80 120 160
time (milli-sec)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed9646ce-15b0-415b-bd6e-483299f8afd8%2Fd5561224-323f-4906-b94f-9d58060e2396%2Fudrmhza_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. You can easily find the time constant if you are given a graph of voltage across a discharging capacitor as a function
of time. When t = Tc = RC, the voltage across the capacitor is
AV (t = Tc) = AV, e¹≈ 0.37 AV
Therefore the time constant is just how long it takes for AV (t) to reach 37% of its initial value.
The graph shows the voltage across a discharging 0.2 μF capacitor as a function of time. Use the following steps to
determine the resistance.
a. What is 37% of the initial voltage?
21
b. How long does it take (after discharge starts) for the voltage to reach
37% of the initial voltage? This time is equal to the time constant.
c. Use your time constant from (b) to determine the resistance.
AV (Volts)
2
1.5
0.5
%40 80 120 160
time (milli-sec)
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