d. An RC circuit has a resistance of 20, a capacitance of 50µF, and is connected to a battery of 5V. What will be the capacitor's maximum charge and about how long will it take to charge it to 99% of its maximum value?
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- Part A: A resistor has a current of 50 mA and an electrical resistance of 5 k ohms. What is the voltage drop across the resistor? Part B: A capacitor with a capacitance of 14 F has a charge of 15 C stored on it. What is the voltage change across the capacitor?I Review A pacemaker sends a pulse to a patient's heart every time the capacitor in the pacemaker charges to a voltage of 0.25 V. It is desired that the patient receive 75 pulses per minute. Part A Given that the capacitance of the pacemaker is 110 µF and that the battery has a voltage of 9.0 V, what value should the resistance have? Express your answer using two significant figures. ΑΣφ R = ΜΩE2 R1 R2 2. Find the charge on the capacitor after the switch has been left open for some time, then closed for some period of time. We can assume that C = 2 µF, with batteries of values E1 R2 = 0.25 N. 2V and E2 =1V, and resistor values R1 = 0.5 N and S
- 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)d. Would adding a stronger dielectric to the capacitor in a charging RC circuit increase, decrease, or not change its time constant?3. From the figure above, a switch is closed at time t = 0, allowing the capacitor to begin charging. The capacitance of the capacitor is given a value of C = 10 µF with a resistor of resistance R= 10 2. At what time is the potential across the capacitor equal to the potential across the resistor?
- RC Circuits 6. The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces the following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) тах Charge vs. Time 20 18 16 14 ū 12 10 8 4 2 1 3 4 7 8. 9 10 Time (s) а. Use the graph to estimate the time constant for this circuit, T. b. Estimate the resistance of the resistor R in this circuit. с. Estimate the battery's voltage AV in this circuit. Charge (C)The RC circuit shown in (Figure 1) can be used in an artificial pacemaker to establish a normal heart rhythm by generating periodic electrical impulses. The box labeled "controller" behaves as an open circuit until the voltage drop across the capacitor reaches a preset limit. Once that limit is reached, the capacitor discharges its stored energy in the form of an electrical impulse to the heart, starts to recharge, and then the process repeats. Figure + Vs R m C + VC Part A Calculate the heart rate in beats per minute for R = 200 kn and C = 5.0 μF, if the capacitor discharges when its voltage reaches 80% of the source voltage Vs. Express your answer in beats per minute to three significant figures. H = Submit 17 ΑΣΦ V ↓↑ Request Answer < Return to Assignment vec Provide Feedback ? beats per minuteSingly charged gas ions are accelerated from rest through a voltage of 12.9 V. At what temperature (in K) will the average kinetic energy of gas molecules be the same as that given these ions? K
- A 30 Ohm resistor and 1.673 F capacitor are connected in series to a 60 V DC voltage source (RC Circuit). What will be the charge stored in the capacitor 4.38 seconds after the series is connected?Using your data, answer the following questions: a. To three decimal places, what fraction of the total charge does a capacitor in an RC circuit have after charging for 4.15 time constants; the fraction f such that q(4.15t) = fQmax