details RC Circuit time constantsNote: I may change the voltage curves; I may change the relative value of the capacitances.Voltage across capacitor (V)1.00.80.60.40.20.00 12 3 4 5Time (s)12 3 4 5Time (s)_0_12 3Time (s)_0_12 34 5 6Time (s)CC肉肉肉肉tunThomm竹Rank the resistances in the circuits above from largest to smallest. Explain why.

In the last curve the time constant is the least as seen from the curve, hence the resistance is…

RC Circuit time constants Note: I may change the voltage curves; I may change the relative value of the capacitances. Voltage across capacitor (V) 1.0 0.8 0.6 0.4 0.2 0.0 0 1 2 3 4 5 Time (s) 01 2 3 4 5 Time (s) _0_12 3 Time (s) _0_12 34 5 6 Time (s) C C 肉肉肉肉 tun Hum

RC Circuit time constants Note: I may change the voltage curves; I may change the relative value of the capacitances. Voltage across capacitor (V) 1.0 0.8 0.6 0.4 0.2 0.0 0 1 2 3 4 5 Time (s) 01 2 3 4 5 Time (s) _0_12 3 Time (s) _0_12 34 5 6 Time (s) C C 肉肉肉肉 tun Hum

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 54P: A heart defibrillator being used on a patient has an RC time constant of 10.0 ms due to the...

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An uncharged series RC circuit is to be connected across a battery. For each of the following changes, determine whether the time for the capacitor to reach 90% of its final charge would increase, decrease, or remain unchanged. Indicate your answers with I, D, or U, respectively. (a) The RC time constant is doubled. (b) The battery voltage is doubled. (c) A second resistor is added in series with the original resistor.
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In this chapter, most examples and problems involved direct current (DC). DC circuits have the current flowing in one direction, from positive to negative. When the current was changing, it was changed linearly from I=ImaxtoI=+Imax and the voltage changed linearly from V=Vmax to V=+Vmax where Vmax=ImaxR .Suppose a voltage source is placed in series with a resistor of R = 10 that supplied a current that alternated as a sine wave, for example, I(t)=(3.00A)sin(24.00st) . (a) What would a graph of the voltage drop across the resistor V(t) versus time look like? (b) What would a plot of V(t) versus I(t) for one period look like? (Hint: If you are not sure, try plotting V(t) versus I(t) using a spreadsheet.)
Integrated Concepts If you wish to take a picture of a bullet traveling at 500 m/s, then a very brief flash of light produced by an RC discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one RC constant is acceptable, and given that the flash is driven by a 600F capacitor, what is the resistance in the flash tube?
Consider a series RC circuit as in Figure P18.35 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. Figure P18.35 Problem 35 and 38.
A 500 resistor, an uncharged 1.50F capacitor,and a 6.16-V emf are connected in series, (a) What is the initial current? (b) What is the RC time constant? (c) What is the current after one time constant? (d) What is the voltage on the capacitor after one time constant?
A heart defibrillator being used on a patient has an RC time constant of 10.0 ms due to the resistance of the patient and the capacitance of the defibrillator, (a) If the defibrillator has a capacitance of 8.00F , what is theresistance of the path through the patient? (You may neglect the capacitance of the patient and the resistance of the defibrillator.) (b) If the initial voltage is 12.0 kV, how long does it take to decline to 6.00102V ?
Unreasonable Results (a) Calculate the capacitance needed to get an RC time constant of 1,00x103 s with a 0.100- resistor, (b) What is unreasonable about this result? (c) Which assumptions are responsible?
A 500- resistor, an uncharged 1.50-F capacitor and a 6.16-V emf are connected in series, (a) What is the initial current? (b) What is the RC time constant? (c) What is the current after one time constant? (d) What is the voltage on the capacitor after one time constant?
Consider the circuit shown in Figure P28.21 on page 860. (a) Find the voltage across the 3.00-0 resistor, (b) Find the current in the 3.00-12 resistor.
As in Example 27.2, consider a power supply with fixed emf and internal resistance r causing current in a load resistance R. In this problem, R is fixed and r is a variable. The efficiency is defined as the energy delivered to the load divided by the energy delivered by the emf. (a) When the internal resistance is adjusted for maximum power transfer, what is the efficiency? (b) What should be the internal resistance for maximum possible efficiency? (c) When the electric company sells energy to a customer, does it have a goal of high efficiency or of maximum power transfer? Explain. (d) When a student connects a loudspeaker to an amplifier, does she most want high efficiency or high power transfer? Explain.
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