You are working in a lab where RC circuits are used to delay the initiation of a process. One particular experiment involves an RC circuit with a half-life of t12 = 3.00 s. Your supervisor is concerned that the initiation of the process is occurring too soon and that the half-life needs to be extended. He asks you to change the resistance of the circuit to make the half-life longer. All you can find in the supply room is a single 55.0 0 resistor. You look at the RC circuit and see that the resistance is 47.0 N. You combine the new resistor with the old to extend the half-life of the circuit. Determine the new half-life (in s).

You are working in a lab where RC circuits are used to delay the initiation of a process. One particular experiment involves an RC circuit with a half-life of t12 = 3.00 s. Your supervisor is concerned that the initiation of the process is occurring too soon and that the half-life needs to be extended. He asks you to change the resistance of the circuit to make the half-life longer. All you can find in the supply room is a single 55.0 0 resistor. You look at the RC circuit and see that the resistance is 47.0 N. You combine the new resistor with the old to extend the half-life of the circuit. Determine the new half-life (in s).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two lightbulbs both operate on separate 120 V sources. One has a power of 40 W and the other is 80 W. Which of the following is true? o a. they have the same current flowing o b. the 80 w bulb has more current flowing O c. the 40 W bulb has a lower resistance o d. they have the same resistance
A heart defibrillator being used on a patient has an RC time constant of 21.0 ms due to the resistance of the patient and the capacitance of the defibrillator. If the defibrillator has an 9.00 µF capacitance, what is the resistance of the path through the patient? resistance: If the initial voltage is 12.0 kV, how long does it take to decline to 687 V? time: S
Apply Kirchoff's law to the circuit and write down the linearly independent voltage equations. You must draw the diagram and show the direction of currents in each of the components. The emf's in the circuit have the values E1=4V and E2=12V. The resistors have the following value of resistances R1=2.2Ω, R2=22Ω, R3=4.4Ω, and R4=3.3Ω. b) Find the current through the resistance R3. c) Find the magnitude of potential difference across the points p and q (i.e. potential difference of point q relative to point p. ).
a. Write your understanding about the time constant for RC circuit. A capacitor is discharging through a resistor. If it takes a time T for the charge on a capacitor to drop to half its initial value, how long (in terms of T) does it take for the stored energy to drop to half its initial value? -e b. A 10-m-long wire has a resistance equal to 0.20 Q and carries a current equal to 5.0 A. (a) What is the potential difference across the entire length of the wire? (b) What is the electric-field strength in the wire?
An RC circuit has an unknown resistance and an initially uncharged capacitor of 515 x 10^-6 F. When connected to a source potential, it takes the capacitor 25.5 s to become 90% fully charged. What is the resistance of the circuit? Enter a number rounded to the nearest 100 place.
the emf source, E=3.2 V, of the circuit shown in the figure has negligible internal resistance. the resistors have resistances R1=3 ohm and R2=4.2 ohm. the capacitor has a capacitance C= 4.5uF. A) determine the time constant t , in units of microseconds for charging the capacitor. B) what is the charge Q on the capacitor in units of microcoulomb?
Figure P18.19 shows a circuit diagram. (R1 = 1550 , R2 = 430 , ΔV = 20.5 V) (a) Determine the current. (b) Determine the potential of wire A relative to ground. (c) Determine the voltage drop across the 1550 resistor.
A simple RC circuit has a switch, a resistor (R), and a capacitor (C) all wired together in series. Assuming the switch is open initially and capacitor is fully charged to a potential V and holds a charge Qo, which of the following expressions describes the current through the circuit at time t=RC after the switch is closed? I = Ve R Selected Answer: V² Answers: I RC I = V R.e I = RC·e V %3D
The circuit in the figure is an RC circuit with 2 resistors and 2 capacitors. Initially, switch S is open and a total charge of 200 µC is stored in both capacitors. Switch S is closed at t=0 and capacitors are discharged through resistors. (C1=C2= 10 µF, R1=5 MW, R2=2 MW) Find the time constant of the circuit (t = ? ) How long does it take to reduce the total charge in the capacitor system to half of the initial charge? (t=?)
(a) Find the equivalent resistance of the circuit in Figure P18.8. (R1 = 4.00 2, R2 = 15.0 2) (b) If the total power supplied to the circuit is 2.00 W, find the emf of the battery. R2 4.00 2 5.00 N R, R, Figure P18.8
The figure shows a resistor of resistance R = 6.102 connected to an ideal battery of emf 8 = 15.4 V by means of two copper wires. Each wire has length 21.4 cm and radius 2.20 mm. In dealing with such circuits in this chapter, we generally neglect the potential differences along the wires and the transfer of energy to thermal energy in them. Check the validity of this neglect for the circuit of the figure below. What is the potential difference across (a) the resistor and (b) each of the two sections of wire? At what rate is energy lost to thermal energy in (c) the resistor and (d) each section of wire? 8=1 Wire 1 R Wire 2
Consider the RC circuit shown in the figure below. If the resistance of the circuit is R=4kN and the capacitance of the initially uncharged capacitor is C=11µF. If emf of the battery the circuit is connected to is E=17V and the switch is closed at t=0, determine how long it would take for the capacitor to reach 86% of its maximum charge. Express your answer in units of ms (milliseconds) using one decimal place. + S