Question: An initially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor R. (a) Show that

An initially uncharged capacitor C is fully charged by a device of constant emf ξ connected in series with a resistor R.

(a) Show that the final energy stored in the capacitor is half the energy supplied by the emf device.

(b) By direct integration of i2R over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.

Step by Step Solution

★★★★★

3.34 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The charge q on the capacitor as a function of time is qt ... 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)

2-P-E-M-C (95).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A 3.0-M resistor is connected in series with an initially uncharged 0.28-F capacitor. This arrangement is then connected across four 1.5-V batteries (also in series). (a) What is the maximum current...

A 185-pF capacitor is connected in series with an unknown capacitance, and as a series combination they are connected to a battery with and emf of 25.0 V. If the 185-pF capacitor stores 125pC of...

A 24-V battery is connected in series with a resistor and an inductor, with R = 8.0 and L = 4.0 H, respectively. Find the energy stored in the inductor (a) When the current reaches its maximum value...

I need help with these questions, thank you. CAPACITORS Theoretical Problems ) You will be charging your capacitors (or combinations of capacitors) using a constant current source; it will generate a...

An initially uncharged capacitor C is connected in series with resistor R . This combination is then connected to a battery with emf V 0 . Sufficient time elapses so that a steady state is reached....

A=29 B=39 0=139 D=12 Will be graded: 1. a. What is the equivalent capacitance of the combination shown below by using C1=C2 = C4=D LF, C3=Cs=C6= D/2 UF? Explain starting to end which ones are series...

The rate at which the capacitor in a series RC circuit charges or discharges depends on the capacitance C of the capacitor and resistance R in the circuit. We define a time constant, T, as the time...

Remote Lab 6 - RC CIRCUITS is and ni i sonofalem ban jollapans Learning Goals: goldsuzie gnigysdozib to gnigisdo and) Tertia al sulev Isilini all 10 RVE of gob of Jivanjo After completing this...

Name (please print): Total Points: (last) first 8. [40 points] Pictured at right is a circuit consisting of 6 resistors and 3 batteries. Suppose the resistors are given by Ry = 108. R- =200, R. =300,...

E-Tutorial Physics Book Note: I have attached below the lesson for the two (2) activities. Thank you. Activity 1. Directions: Look at each circuit below and show the solution using Kirchhoff's Rules...

1-a John's preferences are represented by Cobb Douglas utility function U = qiqa with a = 0.8. Answer the following questions. (a) Show that the given utility function exhibits the law of diminishing...

Reread Exhibit 2.7. Discuss how those values might be reflected in a compensation system. Are these values consistent with Let the market decide?

Calculate the the given limit , if it exists. ( If an answer does not exist, enter DNE. ) lim x x 6 + 2 , 0 0 0 x 3 + 2 , 0 0 0 , 0 0 0 6 x 6 + 3 , 0 0 0 x 3 If the limit does not exist, say why. (...

A. Net receivables using aging method (after adjustment): B. Bad debt expense to be recorded using aging method:

A. What, if any, is the amount of the lower cost or market adjustment? B. What is the journal entry to record the adjustment? BCN, Co accumulates the following cost and market data at 12/31/XX....

C. What is Basic EPS? What is Diluted EPS? The following information is available from a certain balance sheet and all income statement general ledger accounts for CVB Corporation, a Delaware...

Assets are recorded at: Group of answer choices 1-Proceeds paid. 2-Cost, net of preparation costs. 3-Net depreciable costs. 4-Aggregate cost.

The amount of freight-in paid Group of answer choices are: is added to the cost of inventory purchased. is contra to the Purchases account. is a permanent account. has a normal credit balance.

Compute the derivative. y = x + 1 x + 1 2

A budding electronics hobbyist wants to make a simple 1.0-nF capacitor for tuning her crystal radio, using two sheets of aluminum foil as plates, with a few sheets of paper between them as a...

The dielectric to be used in a paral1el-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60 X 107 V/m. The capacitor is to have a capacitance of 1.25 X 10- 9 F and...

Show that Eq. (24.20) holds for a paral1el-plate Capacitor with a dielectric material between the plates. Use a derivation analogous to that used for Eq. (24.11).

Need help with statistics homework please !! 3. Determine ; and o; from the given parameters pulation and sample size. H = 78, G = 18, n=36 4. A simple random sample of size n = 49 is obtained from a...

Daddi Mac, Inc., doesnt face any taxes and has $285.60 million in assets, currently financed entirely with equity. Equity is worth $34 per share, and book value of equity is equal to market value of...

If the total value of the assets of the accounting entity is $4,350,000 and the total liabilities of the accounting entity are $1,235,000 the stockholders' equity in the accounting entity is?