A capacitor, resistor, and an open switch are attached in series as seen below. Initially the switch is open with the capacitor charged. The switch is then closed at time t=0.00 s. At some time later, the current across the resistor is measured to be 6.7 mA and the charge across the capacitor is measured to be 655 µC. If the capacitance of the capacitor is 11.9 μF, what is the resistance of the resistor in k?? (Hint, the voltage across the capacitor must equal the voltage across the resistor.) L

A capacitor, resistor, and an open switch are attached in series as seen below. Initially the switch is open with the capacitor charged. The switch is then closed at time t=0.00 s. At some time later, the current across the resistor is measured to be 6.7 mA and the charge across the capacitor is measured to be 655 µC. If the capacitance of the capacitor is 11.9 μF, what is the resistance of the resistor in k?? (Hint, the voltage across the capacitor must equal the voltage across the resistor.) L

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 55P

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Similar questions

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.
A capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.
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
Ralph has three resistors, R1, R2, and R3, connected in series. When connected to an ideal emf source E1, current I1 flows through the resistors. a. If the resistors are instead connected to a second source with E2=2E1, what is the new current through the resistors in terms of the first current? b. Show that, if each resistance is doubled and the resistors are connected in series to the second emf source, the current through the resistors is equal to I1.
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