The figure below shows a capacitor, with capacitance C = 20.0 µF, and a resistor, with resistance R = 75.0 kN, connbattery, with E = 19.0 V. The circuit has a switch, which is initially open.R(a) What is the circuit's time constant (in s)?(b) After the switch is closed for one time constant, how much charge (in C) is on the capacitor?

The time constant of a circuit is defined as the time taken by the circuit or system to respond to a…

The figure below shows a capacitor, with capacitance C = 20.0 µF, and a resistor, with resistance R = 75.0 kN, conr battery, with E = 19.0 V. The circuit has a switch, which is initially open. C (a) What is the circuit's time constant (in s)? (b) After the switch is closed for one time constant, how much charge (in C) is on the capacitor?

The figure below shows a capacitor, with capacitance C = 20.0 µF, and a resistor, with resistance R = 75.0 kN, conr battery, with E = 19.0 V. The circuit has a switch, which is initially open. C (a) What is the circuit's time constant (in s)? (b) After the switch is closed for one time constant, how much charge (in C) is on the capacitor?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter29: Direct Current (dc) Circuits

Section: Chapter Questions

Problem 78PQ: In the RC circuit shown in Figure P29.78, an ideal battery with emf and internal resistance r is...

See similar textbooks

Similar questions

In the RC circuit shown in Figure P29.78, an ideal battery with emf and internal resistance r is connected to capacitor C. The switch S is initially open and the capacitor is uncharged. At t = 0, the switch is closed. a. Determine the charge q on the capacitor at time t. b. Find the current in the branch be at time t. What is the current as t goes to infinity?
A capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.
The timing device in an automobile's intermittent wiper system is based on an RC rime constant and utilizes a 0.500F capacitor and a variable resistor. Over whatrange must R be made to vary to achieve time constants from 2.00 to 15.0 s?
Figure P29.60 shows a simple RC circuit with a 2.50-F capacitor, a 3.50-M resistor, a 9.00-V emf, and a switch. What are a. the charge on the capacitor, b. the current in the resistor, c. the rate at which the capacitor is storing energy, and d. the rate at which the battery is delivering energy exactly 7.50 s alter the switch is closed?
Consider a series RC circuit as in Figure P28.38 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.
In the figure, suppose the switch has been closed for a length of time sufficiently long for the capacitor to become fully charged. For this circuit, R1 = 12.0 kΩ, R2 = 15.0 kΩ, R3 = 3.000 kΩ, C = 10.0 μF , and emf = 9.00 V. Find (d) the potential differance across R2. (e) the charge on the capacitor.
An uncharged capacitor and a resistor are connected in series to a battery as shown, where ε = 12.0 V, C = 5.00 μF, and R = 8.00 x 105 Ω. The switch is thrown to position a. Find the time constant of the circuit, the maximum charge on the capacitor, the maximum current in the circuit, and the charge and current as functions of time.
How many time constants does it take for a capacitor with capacitance, C, to discharge through a resistor with resistance, R, to 1/5 of its total charge?
A 10 MΩ resistor is connected in series with a 1.0 μF capacitor and a battery with emf 12.0 V. Before the switch is closed at time t=0,the capacitor is uncharged. What fraction of the final charge Qf is on the capacitor at t=10s?
When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the switch is toggled to the right, the capacitor discharges current through the patient's torso, modeled as the resistor Rtorso, allowing the heart's normal rhythm to be reestablished. (a)If the capacitor is initially uncharged with C = 8.25 µF and = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 755 V in 1.70 s. answer in Ω b) If the capacitor is then discharged across the patient's torso with Rtorso = 1260 Ω, calculate the voltage (in V) across the capacitor after 4.50 ms. answer in V
When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the switch is toggled to the right, the capacitor discharges current through the patient's torso, modeled as the resistor Rtorso, allowing the heart's normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 7.00 µF and = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 795 V in 1.70 s. Ω (b) If the capacitor is then discharged across the patient's torso with Rtorso = 1270 Ω, calculate the voltage (in V) across the capacitor after 4.50 ms.
in the circuit shown in the figure, the S switch is closed at t=0 and the capasitors, which are completely empty, begin to fill. Here E=30V, C=3 uF and R=40 ohm. A) what is the time constant of the circuit, T, in the units of microseconds? B)when t=T, what is the total charge, in units of microcoulomb?