Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 28, Problem 5Q
A 2.0-μF capacitor in a circuit in series with a resistance of 1.0 MΩ is charged with a 6.0-V battery. How long would it take to charge the capacitor to three-fourths of its maximum voltage?
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Chapter 28 Solutions
Physics Laboratory Experiments
Ch. 28 - Prob. 1ASACh. 28 - What must the unit(s) of an RC time constant be?...Ch. 28 - When an RC series circuit is connected to a dc...Ch. 28 - If the resistance in a capacitor circuit is...Ch. 28 - Can the voltage across a capacitor be measured...Ch. 28 - Prob. 1QCh. 28 - What is the voltage across a capacitor after a...Ch. 28 - With V = Voet/RC, it mathematically takes an...Ch. 28 - Show that the time for the voltage in the RC...Ch. 28 - A 2.0-F capacitor in a circuit in series with a...
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- Consider the circuit shown in Figure P20.52, where C1 = 6.00 F, C2 = 3.00 F, and V = 20.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S2. Calculate (a) the initial charge acquired by C1 and (b) the final charge on each capacitor. Figure P20.52arrow_forwardA Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.arrow_forwardAssume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed pulse duration = 50.0 m/s 2.0 103 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with K+ ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in Figure P18.43. Model the axon as a parallel-plate capacitor and take C = 0A/d and Q = C V to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.0 108 m, axon radius r = 1.0 101 m, and cell-wall dielectric constant = 3.0. (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 102 V? Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per squared (2). An atom has a cross section of about 1 2 (1 = 1010 m). (b) How much positive charge must flow through the cell membrane to reach the excited state of + 3.0 102 V from the resting state of 7.0 102 V? How many sodium ions (Na+) is this? (c) If it takes 2.0 ms for the Na+ ions to enter the axon, what is the average current in the axon wall in this process? (d) How much energy does it take to raise the potential of the inner axon wall to + 3.0 102 V, starting from the resting potential of 7.0 102 V? Figure P18.43 Problem 43 and 44.arrow_forward
- A battery is used to charge a capacitor through a resistor as shown in Figure P27.44. Show that half the energy supplied by the battery appears as internal energy in the resistor and half is stored in the capacitor. Figure P27.44arrow_forwardA parallel combination of a 1.35 μF capacitor and a 2.67 μF capacitor is connected in series to a 4.69 μF capacitor. This three‑capacitor combination is connected to a 18.1 V battery. Determine the charge on each capacitor.arrow_forwardFour capacitors are arranged in the circuit shown in the figure. The values of the capacitors are C = 5.0 µF, C2 = 4.0 µF, C3 = 3.0 µF, and C4 = 6.0 µF, and the power supply is set at voltage V = 24.0 V. Find the equivalent capacitance in the circuit, the charge on capacitor C2 and the voltage across C3. C, Varrow_forward
- A 243-μF capacitor is connected in series with a 122-μF capacitor. What is the equivalent capacitance of the pair? Express your answer to three significant figures and include appropriate units.arrow_forwardThe circuit in the figure below contains a 9.00 V battery and four capacitors. The two capacitors on the left and right both have same capacitance of c, = 26.60 µF. The capacitors in the top two branches have capacitances of 6.00 µF and c, = 20.60 µF. 6.00 µF C, 9.00 V (a) What is the equivalent capacitance (in UF) of all the capacitors in the entire circuit? 8.87 UF (b) What is the charge (in pc) stored by each capacitor? right 26.60 UF capacitor 79.8 left 26.60 79.8 V µC UF capacitor 20.60 µF сарacitor 6.00 µF 2 сaрacitor What is the charge stored on the equivalent capacitance of C, and the 6.00 UF capacitor? What is the potential difference across the parallel branches? From this, what is the charge stored by the 6.00 UF capacitor? µC (c) What is the potential difference (in V) across each capacitor? (Enter the magnitudes.) right 26.60 uF capacitor V left 26.60 uF capacitor V 20.60 µF capacitor V 6.00 µF capacitor Varrow_forwardThe circuit in the figure below contains a 9.00 V battery and four capacitors. The two capacitors on the left and right both have same capacitance of C, = 42.00 µF. The capacitors in the top two branches have capacitances of 6.00 µF and C, = 36.00 µF. 6.00 µF C, C 9.00 V (a) What is the equivalent capacitance (in pF) of all the capacitors in the entire circuit? HF (b) What is the charge (in µC) stored by each capacitor? right 42.00 µF capacitor left 42.00 µF capacitor 36.00 µF capacitor 6.00 µF capacitor (c) What is the potential difference (in V) across each capacitor? (Enter the magnitudes.) right 42.00 µF capacitor V left 42.00 µF capacitor V 36.00 µF capacitor V 6.00 pF capacitor 을 일 일 일 > > >arrow_forward
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