A 58 F capacitor and a 471 resistor are connected to a battery of voltage 7 V as shown in the circuit. After closing the switch, when the capacitor voltage is half of battery voltage how much energy is stored in the capacitor? Express your answer in Joules (J) E 非 R C

A 58 F capacitor and a 471 resistor are connected to a battery of voltage 7 V as shown in the circuit. After closing the switch, when the capacitor voltage is half of battery voltage how much energy is stored in the capacitor? Express your answer in Joules (J) E 非 R C

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter27: Capacitors And Batteries

Section: Chapter Questions

Problem 16PQ: A 6.50-F capacitor is connected to a battery. What is the charge on each plate of the capacitor if...

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A 6.50-F capacitor is connected to a battery. What is the charge on each plate of the capacitor if the voltage of the battery is a. 10.0 V and b. 2.00 V?
Assume 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.
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Ms. S has 5 capacitors of capacitance 1 microfarad, 3 microfarad, 4 microfarad and 6 microfarad and x. If the equivalent capacitance is 3.6 microfarads, what is the possible value of x? 0.8 microfarads O Both a and b Neither a and b 0.45 microfarads
Three capacitors are joined as shown in the figure, C1 = 6.8 μF, C2 = 6.2 μF, C3 = 5.9 μF. The voltage on the battery is 12 V. a) Calculate the numerical value of the total capacitance of the circuit, in microfarads. b) Calculate the numerical value of the total energy stored in the capacitors U, in microjoules.