Question: A capacitor is charged to an initial voltage V0 = 9.0 V. The capacitor is then discharged by connecting its terminals through a resistor. The

A capacitor is charged to an initial voltage V0 = 9.0 V.
The capacitor is then discharged by connecting its terminals through a resistor. The current I (t) through this resistor, determined by measuring the voltage VR (t) = I t) with an oscilloscope, is shown in the graph.
(a) Find the capacitance C, the resistance R, and the total energy dissipated in the resistor.
(b) At what time is the energy in the capacitor half its initial value?
(c) Graph the voltage across the capacitor, VC (t), as a function of time.

100 80 60 40 20 0 10 20 30 40 50 t (ms)

Step by Step Solution

★★★★★

3.40 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The energy dissipated by the resistor is equal to th... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

956-P-M-L-M (2357).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A capacitor is charged to a potential of 12.0 V and is then connected to a voltmeter having an internal resistance of 3.40 M. After a time of 4.00 s the voltmeter reads 3.0 V. What are? (a) The...

1. For the circuit shown in Fig. 19-46, what happens when the switch S is closed? (a) Nothing. Current cannot flow through the capacitor. (b) The capacitor immediately charges up to the battery emf....

A 2.00-nF parallel-plate capacitor is charged to an initial potential difference Vi = 100 V and then isolated. The dielectric material between the plates is mica, with a dielectric constant of 5.00....

If V0=9.00 V, find the resistance R, find the capacitance C, find the total energy dissipated in the resistor, and at what time is the energy in the capacitor half its initial value? Required...

#1. A 22 UF capacitor is charged to an initial potential difference of 63 V and then discharged through a resistor. At t = 10 sec, the potential difference across the capacitor is 12 V. (a) What is...

https://phet.colorado.edu/en/simulations/circuit-construction-kit-ac include conclusion at the end RC CIRCUIT SIMULATION Introduction In this simulation you will study the behavior of the current and...

How long will it take to discharge a 0 . 1 F capacitor to 1 % of its initial voltage? ( R = 1 k ) How much time, expressed in fractions of a time constant ( not in seconds ) , does it take for a...

This is a lab Name Date RC CIRCUIT SIMULATION Introduction In this simulation you will study the behavior of the current and voltages of a RC circuit. In the diagram above we display an RC circuit....

(10%) Problem 6: In the circuit with six resistors that is shown, the resistances are R1 = 14.1 0, R2 = 43.2 0, R3 = 46.3 0, R4 = 61.4 0, Rs = 80.5 2, and R6 = 45.1 2. The total current through the...

2. Two resistors, an inductor, and an emf source are connected as shown in the figure. & = 24 V, R1 = 80, R2 = 16 0, and L = 4 H. R1 E R2 L S a. When S is closed at t = 0, calculate the following...

A mixture of gases A and B is contained in a constant-volume vessel at a temperature of 400 K and a pressure of 1 bar. The ideal gas law can be used to describe the behavior of each gas in the...

Assume the net present value of a lease relative to a purchase is $ 5 0 0 . Accordingly, the: net advantage of leasing is negative. lease provides an advantage only to the lessor. purchase price is...

Karl, one of your team members, is arguing with you over how to perform a specific task. At the end of a long discussion, you say, Karl, I know you feel different about it, but please do me a favor...

The average power used by a stereo speaker is 55 W. Assuming that the speaker can be treated as a 4.0- resistance, find the peak value of the ac voltage applied to the speaker.

A light bulb is connected to a 120.0-V wall socket. The current in the bulb depends on the time t according to the relation I = (0.707 A) sin [(314 Hz)t]. (a) What is the frequency f of the...

Three resistors, 25, 45, and 75, are connected in series, and a 0.51-A current passes through them. What are? (a) The equivalent resistance and (b) The potential difference across the three resistors.

Interpret the exhibit. GMO 10-year asset class real return forecasts and ranges by underlying index and expected alpha from active management, September 30,2001 GMO Estimated ranges of returns are...

What is the effect of the controller gain on the output response? What if you changed this value to say, 1 5 and 1 5 0 0 ; what is the difference between the responses and what might be the...