College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A capacitor is charged with a total charge of q = 8.7E-05 C. The capacitor is wired in series with a resistor, R = 5 Ω. Part (a) Input an expression for the time constant, τ, of this circuit using the variables provided and C for capacitance. τ = Part (b) What is the value of the time constant in s if the capacitor has capacitance of 1.0 μF? τ = Part (c) How long will it take the capacitor to discharge half of its charge in seconds? t =arrow_forwardA series circuit is comprised of a 200VDC battery, a switch, a 1 kΩ resistor and a 10000 µF capacitor. Initially the switch is open and the capacitor is uncharged. What is the resistor voltage 29 seconds after the switch is closed? answer should be in V.arrow_forwardRC Circuits: For the circuit shown in the figure, C = 13 µF and R = 7.6 MQ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 40 s after closing the switch? 3100 μC 2500 μC 2700 μC 3300 μC 2900 μC Rarrow_forward
- The capacitor in the circuit is initially uncharged. The switch closes at time t = 0. 4.7 kQ The potential across the capacitor as a function of time is given below. Voltage (V) -10 0.002 0.004 0.006 0.008 Time (s) Use the graph to estimate the battery_potential.arrow_forwardIn the circuit, R= 30.0 kN and C = 0.100 µF. The capacitor is allowed to charge fully, and then the switch is changed from position a to position b. What will the voltage across the resistor be 8.40 ms later? R where X = 64.1 V.arrow_forward!! The circuit in the figure below has been connected for a long time. Let R, = 12 Q, R, = 9 N, and V = 16volts. 1.00 N R1 1.00 µF R2 2.00 N RC1 (a) Find the Charye on the capacitor. Q = HC (b) If the battery is disconnected from the circuit, what is the time constant when the capacitor discharges? T3D sr (c) Over what time interval does the capacitor discharge to 0.35 of its initial charge? Time =arrow_forward
- A 16.0 µF Capacitor is charged to Qo. It is then connected in a simple loop circuit with a 265 Q resistor (and nothing else). How much time does it take for the capacitor to reach 25% of its initial charge? O 5.88 ms O 9.03 ms O 4.24 ms O 1.22 msarrow_forwardWhen an initially uncharged capacitor is charged through a 25-k resistor by a 75-V dc ideal power source, it takes 0.30 ms for the capacitor to reach 50% of its maximum charge? What is the capacitance of this capacitor?arrow_forwardC3 C1 = 6.00 jaF, C2 = 1.00 uF, C3 = 3.00 µF, C4 C4 = 6.00 µF, Vab = 12.0 V C Figure 1. Network of Capacitors for Questions 1 to 4. In Fig. 1, the equivalent capacitance of the network of capacitors connected to the DC source is most nearly А. 0.833 иF. В. 1.20 рF. C. 2.00 µF. D. 0.500 uF. Е. 1.00 иF.arrow_forward
- 48 V + #F 68 ΚΩ www Ic + 20 www. 0 0000 1 22 ΚΩ = 10 nF 12 V Assume the capacitor to be fully discharged before the switch closes to position 1 at t=0: D. Determine equations for Ic(t) and Vc(t) in position 1. After a long time (i.e. >5 T, capacitor fully charged) the switch is moved to position 2: E. Determine equations for Ic(t) and Vc(t) in position 2. F. Provide a sketch of Ic(t) and Vc(t) for both cycles. Please label accordingly. F Vcarrow_forwardThis problem involves analyzing an RC circuit. See the circuit diagram below. Switch closes at t = 0 s. А. When the switch closes at t = 0, the capacitor will begin to charge. What is AVc a very long time after the switch has closed? After a very long time, what is the maximum charge on the capacitor, Qmax in terms of a combination of problem variables Ɛ, C or R? %3D Apply Kirchhoff's loop law starting clockwise from the lower left corner. Write down the loop equation for this circuit. How is the current through the resistor related to the instantaneous capacitor charge? Is I = + dQ/dt or I = – dQ/dt? Explain. | В. The Kirchhoff loop equation from part (A) should be a differential equation in terms of dQ/dt. Using the differential equation technique “separation of variables" show that charge as a function of time is given by Q(t) = Qmax(1 – e-t/t). С. Using the result of part (B) determine and expression for the current as a function of time 1(t). Sketch Q (t) and I(t) from t = 0 to t…arrow_forwardb. A capacitor in a RC circuit is charged for a long time as shown in the Figure below, where the battery voltage V=6V. The switch s is flipped from a to b and the capacitor discharges through the R = 4 MQ resistor. 4 seconds after the switch is flipped to discharge the capacitor, the voltage across the capacitor is 3 V. What are (a) The time constant of this circuit (b) The capacitance of the capacitor (c) The current in the circuit and the charge on the capacitor just before the switch is flipped from a to b. (d) The current in the circuit immediately after the switch is flipped from a to barrow_forward
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