A 1000 pF capacitor is connected in series with a 2000 pF capacitor. Initially, the charges onthe two capacitors are zero. At time t = 0, the combination is connected in series with a 1 MΩresistor and a 12 V battery.a) Sketch this circuit.b) Calculate the final charge on the 1 µF capacitor after a sufficiently long time, and estimatewhether a characteristic time would be some milliseconds, some seconds, or some hours.c) Sketch a graph of the voltage on the 1 µF capacitor as a function of time, using your resultsfrom (b).

A 1000 pF capacitor is connected in series with a 2000 pF capacitor. Initially, the charges onthe two capacitors are zero. At time t = 0, the combination is connected in series with a 1 MΩresistor and a 12 V battery.a) Sketch this circuit.b) Calculate the final charge on the 1 µF capacitor after a sufficiently long time, and estimatewhether a characteristic time would be some milliseconds, some seconds, or some hours.c) Sketch a graph of the voltage on the 1 µF capacitor as a function of time, using your resultsfrom (b).

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 55P: An ECG monitor must have an KC time constant lessthan 1.00102s to be able to measure variations...

See similar textbooks

Similar questions

A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltageof 100 V. At that voltage, the charging circuit is disconnected.a) Calculate the charging current.b) A second identical capacitor is connected across the capacitor, using wires with 1 kΩ resistance. Sketch a graph of the voltages on the two capacitors as a function of time, withappropriate numbers and units marked on the axes.
Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts (V), a capacitor with a capacitance of C' farads (F), and a resistor with a resistance of R ohms (N). is the charge (in coulombs), so in this case The voltage drop across the capacitor is where Q C' Kirchhoff's Law gives Q RI+ = E(t). с Since I = dQ R + dt dQ dt 1 Q we have the differential equation = E(t). Suppose the resistance R is 200, the capacitance C is 0.1F, a battery gives a constant voltage E of 30V, and the initial charge is Q(0) = 0 coulombs. Find the charge Q(t) and the current I(t) at time t. Q(t) = I(t) =
You have a capacitor that's discharging through a resistor toward zero voltage. What fraction of the inital voltage will the capacitor have after time 2RC?
A parallel-plate capacitor of plate area 6.7 cm2 and plate separation 4.7 cm has a dielectric constant of 2.5. The capacitor is put in series with a 9.5 k2 resistor and a battery of EMF 6 V, and allowed to fully charge. a) Determine the time constant of the circuit. b) Show that the SI base unit of the time constant of the circuit is seconds. Ensure you include any relevant equations and/or definitions in your working. (c) What is the initial current in the circuit, in mA, when charging begins? d) What is the final charge on the capacitor once it is fully energised? (e) The potential difference, V, across the capacitor, at a time t after charging begins is given ay V = VMAX[1 – e where VMAX is the final potential difference across the capacitor once charging is complete and T is the time constant of the circuit. Show that the potential difference across the capacitor is equal to 50% of its maximum, 2.08 ns after charging begins.
Question 1 a) Ina closed circuit, an electric current of intensity i goes through a resistor of resistance R. The electric potential at the edges of R is measured to be V. If now we write R would this generally bethe definition ofthe resistance quantity R, or the expression of Ohm's Law? Explain. b) We define the resistivity (via the familiar notation) as E 「了, Thus show that the resistance R can be written as, R =p! A here Lis the length ofthe resistor, and A is the cross-sectional area ofit. c) Let J the curent density (i/A). Express J in tems of the electron density n (electrons/m'), the electron drift velocity va, and the electron charge e.
Сарасногs 1-24. Find the equivalent capacitance at the input nodes and calculate the charge-discharge cn- ergy W for the parallel capacitors. 150 pF 120 pf 90 pP 2 V. 200pl
An electrical circuit contains a capacitor of Z picofarads and a resistor of X ohms. If the capacitor is fully charged, and then the voltage is interrupted, in how much time will about 95% of its charge be transferred to the resistor? Show your calculations.
An initially uncharged parallel plate capacitor is connected to a circult containing a battery with emf 20V and a resistor, R 8.8M as shown in the figure to below. The capacitor whose plates have an area of A = 5.9mm² are separated by a distance of d = 4.6mm and one third of the capacitor is filled with a dielectric material, ₁3 and the rest (two thirds) is filled with another dielectric material, ₂-2.1. At t=0 the switch is closed. 7.8 seconds after the switch is closed the electric field within the first dielectric material (x) is observed to be 12 x 10 N/C. Find the charge on the capacitor at this instant (t=7.8s) in terms of permitivity of free space en? Express your answer using zero decimal place. R Answer:
) An electron beam consist of 1016 electrons passing through a given cross section n one minute. (a) Determine the current in amperes. (b) If the potential difference between the tip of the electron gun and the screen is 5000 V, determine the resistance of the path taken by the electron beam.
If the network capacitors is connected to a 36 V source and the capacitance of C1 and C2 = 4.0 F and C3 and C4 = 6.0 F, what is the equivalent capacitance and the total charge ?
Consider the circuit shown in the figure below, where C, - 8.00 uF, C, - 8.00 uF, and AV = 22.0 V. Capacitor C, is first charged by closing switch S,. Switch S, is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S AV (a) Calculate the initial charge (in pC) acquired by C (Round your answer to at least one decimal place.) (b) Calculate the final charge (in uC) on each capacitor. (Round your answers to at least the nearest integer) (c) What 17 After a very long time, switch S, is also closed. By what amount does the charge on the second capacitor change after 5, has been closed for a very long time? (Give your answer in uC.)
My homework asks : rest is given in the question. Can you help with my homework? In the circuit in the figure, two identical parallel metallic plates, with identical etallic arcIt has been connected to 100 V battery. Switch on position, plates unloaded,the gap between them is d = 4 mm and the surface of one plate is 1778 m2.When the switch is turned off, the distance between the plates is reduced by 0.5 times. EachWhat is the spring constant of a spring in units of Newton / meter? Eo = 9 x 10-12 C2 / Nm2