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 = 3.00 s. Your supervisor is concerned that the initiation of the process ist1/2occurring 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 Q resistor. You look at the RC circuit andsee that the resistance is 61.0 Q. You combine the new resistor with the old to extend the half-life of the circuit. Determine the new half-life (in s).S

The extended half-life of RC circuit ist1/2=5.7sExplanation:Explanation.We know that the delay in…

Answered: You are working in a lab where RC…

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)...

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This problem involves analyzing an RC circuit. See the circuit diagram below. Switch closes at t = 0 s. А. When the switch closes at t = 0, the capacitor will begin to charge. What is AVc a very long time after the switch has closed? After a very long time, what is the maximum charge on the capacitor, Qmax in terms of a combination of problem variables Ɛ, C or R? %3D Apply Kirchhoff's loop law starting clockwise from the lower left corner. Write down the loop equation for this circuit. How is the current through the resistor related to the instantaneous capacitor charge? Is I = + dQ/dt or I = – dQ/dt? Explain. | В. The Kirchhoff loop equation from part (A) should be a differential equation in terms of dQ/dt. Using the differential equation technique “separation of variables" show that charge as a function of time is given by Q(t) = Qmax(1 – e-t/t). С. Using the result of part (B) determine and expression for the current as a function of time 1(t). Sketch Q (t) and I(t) from t = 0 to t…
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 capacitor that is initially uncharged is connected in series with a resistor and a 400.0 V emf source with negligible internal resistance. Just after the circuit is completed, the current through the resistor is 0.800 mA and the time constant for the circuit is 6.00 s. ▼ Part A What is the resistance of the resistor? Express your answer with the appropriate units. R = Submit Part B C = Value Submit What is the capacitance of the capacitor? Express your answer with the appropriate units. Request Answer 0 Value Units Request Answer Units ? ?
A 1000.0 Ω resistor is placed in series with two 100.0 μF capacitors in series and the combination is connected to a battery. Determine the time constant of the circuit.
You have a battery with a voltage of Vtotal = 25 V and two resistors, both with a resistance of R, = R, %3D 40 0. a. How can you connect the resistors to the battery (in series or parallel) in order to achieve the largest power dissipation? How much power is dissipated in this case?
The brightness of a lightbulb is dependent on the current that goes through the lightbulb (in reality on the power, which is I^2/R). In Europe, the voltage used is 220 Volts, as opposed to the 120 Volts used in the USA. Will a lighbulb that is made for European voltage work well or poorly in the USA? It will work poorly in the USA. Since I=V/R, if V decreases, so does I, and so does the brightness. It will work more efficiently in the USA. Since I=V/R, if V decreases, I increases, and the brightness increases. It will work better in the USA because the resistance of the wires is smaller. Whether it works better or worse depends on how modern the wiring system is, regardless of the voltage, V.
Each of the four circuits in the drawing consists of a single resistor whose resistance is either R or 2R, and a single battery whose voltage is either Vor 2V. The unit of voltage in each circuit is V-11 V and the unit of resistance is R-50. Determine (a) the power supplied to each resistor and (b) the current delivered to each resistor. 2R (a) P₁- i Pb Pc- S P₁-1 (b) 16- i i i i i R [W V 2R ~~~ 2V (c) V 2V
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
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