A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has a time constant of 2.50 s. Soon after the switch is closed, the charge on the capacitor is 72.0% of its initial charge. +Q (a) Find the time interval required for the capacitor to reach this charge. (b) If R = 260 k2, what is the value of C? C = µF

A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has a time constant of 2.50 s. Soon after the switch is closed, the charge on the capacitor is 72.0% of its initial charge. +Q (a) Find the time interval required for the capacitor to reach this charge. (b) If R = 260 k2, what is the value of C? C = µF

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 67P: The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C =...

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The circuit shown in Figure P28.78 is set up in the laboratory to measure an unknown capacitance C in series with a resistance R = 10.0 M powered by a battery whose emf is 6.19 V. The data given in the table are the measured voltages across the capacitor as a function of lime, where t = 0 represents the instant at which the switch is thrown to position b. (a) Construct a graph of In (/v) versus I and perform a linear least-squares fit to the data, (b) From the slope of your graph, obtain a value for the time constant of the circuit and a value for the capacitance. v(V) t(s) In (/v) 6.19 0 5.56 4.87 4.93 11.1 4.34 19.4 3.72 30.8 3.09 46.6 2.47 67.3 1.83 102.2
A battery with = 6.00 V and no internal resistance supplies current to the circuit shown in Figure P27.9. When the double-throw switch S is open as shown in the figure, the current in the battery is 1.00 mA. When the switch is closed in position a, the current in the battery is 1.20 mA. When the switch is closed in position b, the current in the battery is 2.00 mA. Find the resistances (a) R1, (b) R2, and (c) R3. Figure P27.9 Problems 9 and 10.
Consider a series RC circuit as in Figure P28.38 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed.
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