Figure 1 of 1 Part A What is the time constant for the discharge of the capacitors in the figure (Figure 1)? Express your answer in milliseconds. View Available Hint(s)
P 9.2-8 The input to the circuit shown in Figure P9.2−8 is the voltage of the voltage source, vs. The output is the capacitor voltage v2(t). Represent the circuit by a second-order differential equation that shows how the output of this circuit is related to the input for t > 0. Hint: Use the operator method.
The capacitor in the figure below is designed to filter low-frequency signals, impeding their transmission between circuits. (a) What capacitance (in nanofarads) is needed to produce a 100 kΩ reactance at a frequency of 150 Hz? nF (b) What would its reactance be (in ohms) at 1.00 MHz? Ω (c) What are the implications of your answers to (a) and (b)? (Select all that apply. ) The capacitor does what it is designed to do. Reactance is larger at high frequencies. High frequencies transmit better than low ones. Reactance is smaller at high frequencies. Low frequencies transmit better than high ones. The capacitor does not do what it is designed to do.
a. Calculate the equivalent capacitance in terminals a and b of circuit 1. Use C1 = C2 = A μF, C3 = A/2 μF? Explain starting to end which ones are series or parallel to which one step by step. b. Calculate the equivalent capacitance of circuit 2. Explain starting to end which ones are series or parallel to which one step by step. c. Calculate the charge Q stored in circuit 2 and calculate the total energy stored in the equivalent capacitor. Circuit 1 Circuit 2
circuit 1 circuit 2 Two circuits, 1 and 2, are shown in the figure. The batteries have identical emf ε, and the capacitances are the same. The resistances in the second circuit are twice as large as in the first circuit. a) Initially both switches are in position (a), and the capacitors are getting charged. After they are fully charged, the charge on the capacitor from circuit 2 is [Select ] the charge on the capacitor from circuit 1. b) At t = 0 both switches are thrown in position (b), and the capacitors start discharging. Let Q1(t) be the charge on the capacitor in circuit 1, and Q2(t) be the charge on the capacitor in circuit 2 . What can you say about them? [ Select]
In the circuit shown, the voltage source has the form Vs(t) = 7 cos(400t) Volts. If the load consists of a series combination of a 400 ohm resistor and a 50 μF capacitor, find the reactive power absorbed in the load. Enter your answer in units of milli-Volt-Amp-Reactive (mVAR).
Two capacitors of equal capacitance C are connected as shown. Initially the switch S is open, and the left capacitor is charged with charge Q, while the other capacitor is uncharged. At time t = 0 the switch is closed. (a) (7 Pts.) Find the charge on the left capacitor after charge equilibrium is reached. (b) (7 Pts.) How much energy is lost when the capacitors are connected? Now, a material with dielectric constant K is inserted to completely fill the left capacitor. The two capacitors remain connected while the material is filled. (c) (8 Pts.) What is the final charge Q′ on the left capacitor? (d) (8 Pts.) What is the total final energy stored in both capacitors?
Problem 1 [33 points] Show all relevant work!!! In the circuit C1 = 4 μF, C2 = 3 μF, C3 = 10 μF and C4 = 6 μF. The battery supplies ε = 24 V. (e) [5 points ] A dielectric, with dielectric constant κ = 2 is inserted between the plates of capacitor C2. What is the new equivalent capacitance of the circuit? (f) [3 points] With the new equivalent capacitance from part (e), you build an RC Circuit, like the one in the figure below, where R = 3000 Ω, and ε = 9 V. What is the Capacitive time constant τ of the RC circuit? (g) [5 points] what is the charge stored in capacitor Cl in the new RC circuit in part (f)?
Two identical capacitors, each with capacitance 12 μF, are connected in parallel and the combination is connected in series to a third identical capacitor. The equivalent capacitance of this arrangement is 24 μF 8 μF 12 μF 18 μF 36 μF
Part (a) Six identical capacitors, each of capacitance 3 μF are arranged as shown below. Determine the equivalent capacitance between points a and b. Draw necessary reduced circuits and show relevant calculations. (b) If a 2.0 V battery is connected between points a and b, determine the following: Charge on each capacitor Potential difference across each capacitor Tabulate your results. (c) If dielectric slabs are inserted in capacitors C5 and C6, do you expect the total charge stored in the circuit to increase, decrease or remain unchanged? Assume that the power supply remains unchanged.
Consider the following. (a) For the circuit shown in the figure above, let E = 11 V, R = 7.0 Ω, and C = 0.1 F. What is the current at b just after the switch is closed? (b) How much charge will have passed b by the time the current goes to zero? (c) Find the current at the instant the capacitor has a charge of 0.22 C .
Consider the circuit shown in the figure, with C1 = 7.42 μF and C2 = 8.24 μF. (a) Find the equivalent capacitance (in μF) of the system. μF (b) Find the charge (in μC) on each capacitor. 7.42 μF capacitor μC 6.00 μF capacitor μC 8.24 μF capacitor μC 2.00 μF capacitor μC (c) Find the potential difference (in V) on each capacitor. 7.42 μF capacitor V 6.00 μF capacitor ◻ V 8.24 μF capacitor V 2.00 μF capacitor V (d) Find the total energy (in mJ) stored by the group. mJ
You have a 74.1 mF capacitor initially charged to a potential difference of 10.9 V. You discharge the capacitor through a 3.39 Ω resistor. What is the circuit's time constant τ ? τ = s At what time t, expressed as a multiple nτ of the time constant, does the potential difference across the capacitor reach 1.29 V? t = τ
Consider a series RC circuit as in the figure below for which R = 3.00 MΩ, C = 3.00 μF, and E = 26.0 V. (a) Find the time constant of the circuit. s (b) What is the maximum charge on the capacitor after the switch is thrown closed? μC (c) Find the current in the resistor 10.0 s after the switch is closed. μA
An initially uncharged air-filled capacitor is connected to a 5.91 V charging source. As a result, the capacitor acquires 5.13×10−5 C of charge. Then, while the capacitor remains connected to the charging source, a sheet of dielectric material is inserted between its plates, completely filling the space. The dielectric constant κ of this substance is 5.83. Find the voltage V across the capacitor and the charge Qf stored by it after the dielectric is inserted and the circuit has returned to a steady state. V = V Qf = C
The capacitor in the circuit shown is initially uncharged and the switch is closed at t = 0. What is the current through the 8 Ω resistor immediately after the switch is closed? [Select] What is the current through the 6 Ω resistor immediately after the switch is closed? [Select] What is the current through the 3 Ω resistor immediately after the switch is closed? [Select]What is the current through the 8 Ω resistor very long time after the switch is closed (at the steady state)? [Select] What is the current through the 6 Ω resistor very long time after the switch is closed (at the steady state)? What is the current through the 3 Ω resistor very long time after the switch is closed (at the steady state)? [Select] What is the final charge in the capacitor? [Select] μC (1 μC = 10−6 C).
Three charged particles form a triangle: particle 1 with charge Q1 = 89.0 nC is at xy coordinates (0, 3.30 mm), particle 2 with charge Q2 is at (0, −3.30 mm), and particle 3 with charge q = 45.0 nC is at (4.60 mm, 0). What are (a) the x component and (b) the y component of electrostatic force on particle 3 due to the other two particles if Q2 is equal to 89.0 nC? What are (c) the x component and (d) the y component of electrostatic force on particle 3 due to the other two particles if Q2 is equal to - 89.0 nC,? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
In the figure a potential difference V = 140 V is applied across a capacitor arrangement with capacitances C1 = 8.98 μF, C2 = 4.70 μF, and C3 = 3.95 μF. What are (a) charge q3, (b) potential difference V3, and (c) stored energy U3 for capacitor 3 , (d) q1, (e) V1, and (f) U1 for capacitor 1, and (g) q2, (h) V2, and (i) U2 for capacitor 2?
You are asked to construct a capacitor having a capacitance near 1 nF and a breakdown potential in excess of 12000 V. You think of using the sides of a tall plastic drinking glass as a dielectric (with a dielectric constant 6.1 and dielectric strength 12 kV/mm), lining the inside and outside curved surfaces with aluminum foil to act as the plates. The glass is 21 cm tall with an inner radius of 4.63 cm and an outer radius of 4.93 cm. (a) What are the capacitance and (b) breakdown potential of this capacitor? (a) Number Units (b) Number Units
A point charge is located at the center of a conducting spherical shell with inner radius of R1 and outer radius of R2. The figure to the right is a plot of the net flux versus the distance r from the center. (a) Determine the magnitude and sign of the point charge at the center of the shell. C (b) Determine the charge on the spherical shell. C
In one measurement of the body's bioelectric impedance, values of Z = 4.84×102 Ω and ϕ = −6.94∘ are obtained for the total impedance and the phase angle, respectively. These values assume that the body's resistance R is in series with its capacitance C and that there is no inductance L. Determine the body's (a) resistance and (b) capacitive reactance. (a) Number Units (b) Number Units