A simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s, the potential difference between the capacitor plates is reduced to 37 % of its original value. Determine the numerical value of the resistance R (in 0).

A simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s, the potential difference between the capacitor plates is reduced to 37 % of its original value. Determine the numerical value of the resistance R (in 0).

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

An RC circuit includes a basic switch, two voltmeters and an ammeter. Initially the capacitor is either partially or fully charged, and the switch is open. Data collection begins, and then the switch is moved to position "b" allowing the capacitor to begin discharging. Part 1: Which graph best represents the magnitude of the voltage measured across the capacitor by the voltmeter labeled Vc? O O t Part (a) Which graph best represents the charge on the positive plate of the capacitor as a function of time? O O O Vo O a o .b Part 2: Which graph best represents the magnitude of the voltage measured across the resistor by the voltmeter labeled VR? O Part (b) Which graph best represents the current measured with the ammeter as a function of time? O R t A I O Vc
A heart pacemaker fires exactly 71 times a minute. Each time it fires, a 19.0 nF capacitor is charged by a battery in series with a resistor to 0.582 of its full voltage. What is the value of the resistance R? R =
You are given the below circuit to analyze and told that the circuit has been complete for a long time. What is the charge of capacitor C1? In the circuit, Rд=41 £2, RB=621 £2, Rc=110 £2, С₁=54 μF, C₂=22 μF, Vc3-6 V and V1=38.3 V. The charge on C₁ = V₁ ww RA w RB C1 C₂ C3 M Rc
E2 R1 R2 2. Find the charge on the capacitor after the switch has been left open for some time, then closed for some period of time. We can assume that C = 2 µF, with batteries of values E1 R2 = 0.25 N. 2V and E2 =1V, and resistor values R1 = 0.5 N and S
Consider the circuit shown below. The resistor has R= 40 ohms and the capacitor has C= 6 x10^-6 F. Initially the switch is open and there is no charge on the capacitor and no current in the resistor. At a time after the switch is closed the current in the resistor is 2 A and the charge on the capacitor is q= +3.00 x 10^-4 C. What is the emf of the battery?
Consider the circuit shown in the figure. A short time after closing the switch, the charge on the capacitor is 70.0% of its initial charge. Assume the circuit has a time constant of 18.7 s. +Q (a) Calculate the time interval required (in s) for the capacitor to reach this charge. (b) If R = 300 kn, what is the value of C (in uF)? UF
In the circuit in the figure, two identical parallel metallic plates are connected by an identical metallic spring to a 100 V battery. In the open state, the plates are unloaded, the clearance 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. What is the spring constant of each spring in units of Newton / meter? ɛ, = 9 × 10-12 C / N m?
A heart pacemaker fires 67 times a minute. Each time it fires, a 35.0 nF capacitor is charged by a battery in series with a resistor to 0.682 of its full voltage. What is the resistance?
Two resistors, R1 = 50 Ω and R2 = 17 Ω are connected in series to a battery providing voltage ΔVbat = 3.1 V. What is the potential difference measured across the resistor R2?
Please show steps
What possible changes can be made to the circuit so that the capacitor will charge faster to its maximum voltage value?
The figure shows a capacitor with a capacitance C=7.97uF & a resistor with resistance R= 8.23Mohms, connected to a battery, with E=25V. The circuit has a switch which is initially open. What is the time constant? (In seconds) -205.8 -65600000 -65.6 -.0000656 What is the max charge(in uC) on the capacitor after the switch is closed? -65.59 -199.25 -.00019925 -205.75 What is the current (in uA) through the resistor immediately after switch is closed? -3.04 -205.75 -.33 -effectively 0uA What is the current in the circuit 100 T after the switch is closed? -205.75uA -effectively 0uA -.33uA -3.04uA