Using thevenin theorem, determine the charge and discharge equivalent

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Using thevenin theorem, determine the charge and discharge equivalent circuits for the Figure 4. sketch in b and c respectively

470 k
5 V
100 kQ
(c) Discharge equivalent
circuit
(a) Circuit. C = 47 µF
(b) Charge equivalent
circuit
Figure 4: Thevenin analysis
b. From the Thevenin equivalent circuit, calculate the charge time constant,
(refer Figure 4b) and discharge time constant (refer Figure 4c):
Tcharge =
Tdischarge =
c. For charging (refer Figure 4b), calculate capacitor voltage at t = tcharge-
Ve =
d. Assume the switch has been in the charge position long enough for the
capacitor to fully charge and then the switch is move to discharge position.
Now, for discharging, calculate the capacitor voltage at t = tdischarge-
Ve =
e. Assemble the circuit of Figure 4(a). Move the switch to charge and with the
stopwatch, measure the time it takes for the voltage to reach 63.2% of its
maximum capacitor voltage, Vc.
Tcharge (measured)
%3D
Vc during maximum charge =
f. Allow the capacitor to fully charge, and then move the switch to discharge and
with the stopwatch, measure the time that it takes for the voltage to drop to
36.8% of its maximum capacitor voltage, Vc.
Tdischarge (measured) =
Ve during maximum discharge =
Transcribed Image Text:470 k 5 V 100 kQ (c) Discharge equivalent circuit (a) Circuit. C = 47 µF (b) Charge equivalent circuit Figure 4: Thevenin analysis b. From the Thevenin equivalent circuit, calculate the charge time constant, (refer Figure 4b) and discharge time constant (refer Figure 4c): Tcharge = Tdischarge = c. For charging (refer Figure 4b), calculate capacitor voltage at t = tcharge- Ve = d. Assume the switch has been in the charge position long enough for the capacitor to fully charge and then the switch is move to discharge position. Now, for discharging, calculate the capacitor voltage at t = tdischarge- Ve = e. Assemble the circuit of Figure 4(a). Move the switch to charge and with the stopwatch, measure the time it takes for the voltage to reach 63.2% of its maximum capacitor voltage, Vc. Tcharge (measured) %3D Vc during maximum charge = f. Allow the capacitor to fully charge, and then move the switch to discharge and with the stopwatch, measure the time that it takes for the voltage to drop to 36.8% of its maximum capacitor voltage, Vc. Tdischarge (measured) = Ve during maximum discharge =
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