3. Figure below voltage versus time for a discharging capacitor. (15) 100 200 300 400 500...
3 Capacitor Discharging Current The capacitor voltage versus time in a discharging series RC circuit, as shown in the Background Information Figure 2, is Vo(t) = V, expl-Roc), +20 (3) where V, is the source voltage in Volts, exp(x) is the exponential functione, Rp is the discharging resistance in Ohms (N), C is the capacitance in Farads. To = Rp is the discharging time constant in seconds. Derive an expression for the capacitor discharging current versus time, .(t), in terms...
13. RC circuit A RC circuit has a resistor of 100k and a capacitor of 2004. What is the time constant? (5) 2. Figure 3 shows the voltage across a capacitor versus time in a RC-circuit experiment. (5) The applied voltage to the capacitor is V-6. What is the estimated time constant for this capacitor? a) 1-50 b) 50-100s c) 100-150 d) 200-250 e)300-350s Figure 3: Voltage versus time for a capacitor. 3. Working Problem (show all your work!) Figure...
8. Capacitance in circuits, RC circuits When a voltage source Vo is applied to a capacitor in a circuit which has a resistance R, a charge Q CV will build up across the capacitor. This does not happen instantaneously, but takes some time. The charge builds up exponentially with a characteristic time r = RC. Charging: V = v. 1 - e-t/RC) Discharging: Vc = V e-t/RC Page 2 of 3 When t = RC , the exponential is lle,...
Resistor - 100 mega-ohms capacitor - .47 micro farads i am having an extremely hard time finding the theoretical time constant and the experimental ones. Format Painter 龘· . ▼ 窖三三一嚚 Merge & Center s-90 , Clipboard Font Alignment Number 0 2.81 7.8 15.4 25.76 0 0.5 1 1.5 Charging a Capacitor 38.732.5 2 54.95 74.26 97.67 124.45 156.24 193.33 235.43 284.47 3.5 4 4.5 5.5 50 100 150 Time (s) 6.5 seconds voltage seconds voltage 10 9.5 Discharging a...
21. [2] Look at Figure 30-26 and you will see a capacitor charge and discharge curve in B. for the circuit shown in A. Will the capacitor charge faster, slower or take the same time if the battery voltage in Figure 30-26A is changed from 10 volts to 20 volts and why? 1 time-constant period), the voltage act switched to DISCHARGE, the voltage Example 30-6 Assume a de voltage source of 100 Vis applied to a series RC circuit consisting...
A 500 micro-Farad capacitor is charged to an initial voltage of 10 V. It is then allowed to discharge through a 40 k0 resistor. You take measurements of voltage versus time and record a voltage of .80 volts after 50 seconds, and a voltage reading of .47 volts after 60 seconds. What is your percent error against the theoretical value of the voltage reading after three time constants?
DRAW A GRAPH FOR THIS TABLE Table 1: Measurements with the capacitor discharging | Time from start (s) 8 8 8 8 8 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1 Voltage across the resistor Calculated in (Voltage) (V) Vo= 10.000 00 8.330 83.30 7.170 143.40 6.16 246.40 5.30 2120 4.540 227 3.920 235.20 3.360 235.20 2.92 233.60 2.510 225.90 2.160 2160 1.890 207.90 1.640 198.80 1.430 185.90 1.250 1750 8 8 8...
tor is charged to an initial voltage of 1OV micro- discharge through a 40 kQ resistor. You take 10 is then tsof voltage versus time and record a vol 10 It is rements o and a voltage reading of.47 volts after 60 after 50 seco What is your percent of .47 volts after 60 seconds. ent error against the theoretical value of the voltage reading after three time constants? 6% -6% c.60% d. -60% What is the equation for the...
Ch 15 QUESTION 1 The capacitor of an RC integrator charges to ________ if the input is a 10 V pulse with a pulse width equal to six time constants. 3.7 V 6.3 V 10 V 5 V 1 points QUESTION 2 What is one time constant in an integrating circuit if a 4.7 kΩ resistor is in series with a 5 nF capacitor? 0.00235 ms 235 ms 0.0235 ms 2.35 ms 1 points QUESTION 3 How long will it...
Consider the RC circuit shown in the figure below, in which the capacitor is initially charged. The graph above shows the voltage at the capacitor terminals, resulting from switch closure at t = 0s (the exponential curve). The capacitor is 1 microF and the source voltage is 5V. Noting the exponential curve that corresponds to the output level yo (t) measured in capacitor terminals, estimate the order of magnitude of resistor R and justify your answer. Find the complete response...