Show by direct substitution that Equation 31 47b is satisfied by Q Q 0 e Rt 2L cos t where (1 LC) (R 2L) 2 and Q 0 is the charge on the capacitor at t 0 d Q L dt2 31 47b dt...

With Q Q 0 e Rt2L cos t 0 the first and second derivatives of Q are And If thes ...

Show by direct substitution that Equation 31-47b is satisfied by Q = Q 0 e Rt/2L cos

Question:

Show by direct substitution that Equation 31-47b is satisfied by Q = Q₀e^–Rt/2L cos ω’t where ω’ = √(1/LC)-(R/2L)²and Q₀ is the charge on the capacitor at t = 0.

d?Q L- dt2 31-47b dt

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

See More Books

Question Posted: Nov 29, 2011 10:09 AM

See More Questions

All resistances are in Ohms. Which of the following choices is a correct expression for sum of the voltages in the loop indicated? B 9. 6. 12V ( 12 12 17 12 1Oohms E 10 D 10 10 O 12V - 6A - 78 + 10E...
Show by direct substitution that Equation 32-17a is satisfied by the wave function E y = E 0 sin (kx t) = E 0 sin k(x ct) where c = /k. 1 a?E 32-17a .2
Show by direct substitution that Equation 14-48 is a solution of Equation 14-47. Equation 14-47 reads d'x 14-47 dx +b=+ mofx = F, cos ot di? dt x = A cos(@t d) 14-48
The registers values in AX and BX can be exchanged using stack operations that are: Select one: a. PUSH bx PUSH ax POP bx POP AX b. none C. PUSH ax PUSH bx POP ax POP bx d. PUSH ax POP ax PUSH bx POP...
Acres.com has requested that you prepare a partial balance sheet on December 31, 2015, from the following: Cash, $126,000; Petty Cash, $72; Accounts Receivable, $68,000; Bad Debts Expense, $49,000;...
Use Theorem 27.24 to prove the equivalence of these two theorems: Fundamental Theorem of Algebra: Every nonconstant polynomial in C[x] has a zero in C. Nullstellensatz for C[x]: Let f 1 (x), , f r...
A negotiable certificate of deposit is a marketable receipt for funds deposited in a bank for a specified period of time at a specified rate of interest (Lee, Finnerty, and Norton, 1997). The table...
Good project managers know what type of trouble can occur at the various stages in the development of a project. The activities in the numbered list below indicate the various stages of a project....
6 Sovereign Risk Explain why higher default risk increases the interest are. Provide a numerical example to illustrate your verbal explanation. Explain in words the moral hazard problem associated...
1. What steps in the decision-making process have Don Anglos and Pinnacle taken? Which ones have they not completed? 2. Which decision-making style best describes Dons approach: directive,...
Figure shows a plot of average power P av versus generator frequency for an RLC circuit with a generator. The average power P av is given by Equation 31-58. The "full width at half-maximum" is the...
(a) Compute the current I = dQ/dt from the solution of Equation 31-47b given in Problem 91, and show that Where I 0 = Q 0 . (b) Show that this can be written Where tan = R/2L. When R/2L is small,...
Solve each equation. V11 + 2x + 1 = 5x + 1
Write a query that will return sales details of all customers and products. The query should return all customers, even customers without invoices and also all products, even those products that were...
Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. Find the range, variance, and standard deviation for the given sample data. Include...
Early in 2025, Bonita Equipment sold 600 Rollomatics at $5,500 each. During 2025, Bonita spent $19,000 servicing the 2-year assurance warranties with inventory, cash, and payables that accompany the...
On December 1, Year 1, Wayne and Susan Li formed a corporation called French Broad Equipment Rentals. The new corporation was able to begin operations immediately by purchasing the assets and taking...
a street light is at the top of a 25 ft pole. A 5 ft girl walks along a straight path away from the pole with a speed of 3 ft/sec. At what rate is the tip of the shadow moving away from the light...
DE3-3 Intel Corporation produces the Pentium processor that is featured in many computers. Demand for Pentium processors is very strong. Suppose Intel has completed production of 2.000 processor...
What are the risks and liability factors in an audit? What are the implications to the auditor? What are the implications to the organization? How can the auditor mitigate these risks and liability...
Consider the following sample of n = 7 measurements: 5, 7, 4, 5, 20, 6, 2. a. Calculate the median m of this sample. b. Eliminate the last measurement (the 2) and calculate the median of the...
At a race track, you can estimate the speed of cars by listening to the difference in pitch of the engine noise between approaching and receding cars. Suppose the sound of a certain car drops by a...
Two open organ pipes, sounding together, produce a beat frequency of 11 Hz. The shorter one is 2.40 m long. How long is the other?
Two loudspeakers are at opposite ends of a railroad car as it moves past a stationary observer at 10.0 m/s, as shown in Fig. 12-37. If the speakers have identical sound frequencies of 212 Hz, what is...
On April 1, year 1, Mary borrowed $200,000 to refinance the original mortgage on her principal residence. Mary paid 3 points to reduce her interest rate from 6 percent to 5 percent. The loan is for a...
Give a numerical example of: A) Current liabilities. B) Long-term liabilities?
Question Wonder Works Pte Ltd ( ' WW ' ) produces ceramic hair curlers to sell to department stores. The production equipment costs WW $ 7 0 , 0 0 0 four years ago. Currently, the net book value...

Show by direct substitution that Equation 31-47b is satisfied by Q = Q 0 e Rt/2L cos

Question:

d?Q L- dt2 31-47b dt

Step by Step Answer:

With Q Q 0 e Rt2L cos t 0 the first and second derivatives of Q are And If thes...View the full answer

Fundamentals of Ethics for Scientists and Engineers

Students also viewed these Electricity and Magnetism questions