In the two-dimensional region shown in Fig, the angular functions appropriate for Dirichlet boundary conditions at ?

Question:

In the two-dimensional region shown in Fig, the angular functions appropriate for Dirichlet boundary conditions at ? = 0 and ? = ? are ?(?) = A_m sin(m??/?). Show that the completeness relation for these functions is

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

Step by Step Answer:

Related Book For book-img-for-question

Classical Electrodynamics

ISBN: 978-0471309321

3rd Edition

Authors: John David Jackson

See More Books

Question Posted: Sep 08, 2011 08:41 AM

See More Questions

Two rigid tanks, shown in Fig P8.96, each contain 10 kg N2 gas at 1000 K, 500 kPa. They are now thermally connected to a reversible heat pump, which heats one and cools the other with no heat...
In Fig P2.71 gate AB is 3 m wide into the paper and is connected by a rod and pulley to a concrete sphere (SG = 2.40). What sphere diameter is just right to close the gate? Concrete phere SG 2.4 6 m...
Show that because of the boundary conditions (2). Sec. 12.3, the function f in (13) of this section must be odd and of period 2L.
Dr. Bold has a personal automobile policy with liability limits as follows: $100,000/$300,000 BI and $50,000 PD. Dr. Bold is held liable in an accident in which he must pay for bodily injuries as...
During one year, the College of Public Programs at a major university awarded the following number of master's degrees. Type of degree _________________________ Frequency Master of arts...
At $6.75 per square foot, plus $60 delivery charge, how much will it cost to purchase artificial turf for a square lawn 24 feet 6 inches on a side? Round your answer to the nearest cent ( hundredth )
Suppose that a stock will pay a dividend of amount $D$ at time $\tau$. We wish to determine the price of a European call option on this stock using the lattice method. Accordingly, the time...
1. Prepare a service blueprint for the 100 Yen Sushi House operation. 2. What features of the 100 Yen Sushi House service delivery system differentiate it from the competition, and what competitive...
Windsor, Inc. began operations on January 1, 2022. The following information is available for Windsor, Inc. on December 31, 2022. Accounts payable $4,600 Notes payable $6,440 Accounts receivable...
a. "The price of IBM stock will not be affected by the announcement that its earnings have increased as expected." b."The lending operations at Bank of America should benefit from strong economic...
A hollow cube has conducting walls defined by six planes x = 0, = 0, z = 0, and x = , = a, z = a. The walls z = 0 and z = a are held at a constant potential V. The other four sides are at zero...
A closed volume is bounded by conducting surfaces that are the n sides of a regular polyhedron (n = 4, 6, 8, 12, 20). The n surfaces are at different potentials V i , i = 1, 2,..., n . Prove in the...
Summarize the effects of a subsidy on the market price and the quantity produced.
Why is it important to evaluate the credibility of a source of information?
Describe the components of a business plan. How does each of these components help an investor, a creditor, and a manager or owner to make decisions about a business?
Define liabilities. Give two examples.
Describe the three main functions of a business plan.
What is accrual accounting, and why is it important?
Which of the following will normally be included in the Capital and reserves section of a companys statement of financial position (balance sheet)? (i) Convertible loan stock (ii) Deferred taxation...
How has the globalization of firms affected the diversity of their employees? Why has increased diversity put an additional burden on accounting systems?
A flexible chain of length L is suspended between two poles of equal height separated by a distance 2M (Figure 10). By Newtons laws, the chain describes a curve (called a catenary) with equation y =...
The excess charge in a certain medium decreases to one-third of its initial value in 20s. (a) If the conductivity of the medium is 10 4 S/m, what is the dielectric constant of the medium? (b) What is...
Lightning strikes a dielectric sphere of radius 20 mm for which r = 2.5, = 5 X 106 mhos/m and deposits uniformly a charge of 10C. Determine the initial charge density and the charge density 2s later.
Region 1 (z < 0) contains a dielectric for which = 2.5, while region 2 (z > 0) is characterized by = 4. Let E1 = -30ax + 50ay + 70az V/m and find: (a) D2, (b) P2, (c) The angle between E1 and the...
4. A partnership owns an aging 4-unit retail center in a local campus property. Cash flow projections for the next 10 years are: $50,000 for years 1 and 2; $60,000 for years 3 and 4; $70,000 for...
given A = 2 -2 3 ' 3 4 2 , 4 2 5 2 2 B= 3 -3 2 2 1 2 1 4 2 2 3 F= 4 2 3 - 2 -2 4 2 3 2 3 4 2 4 I Find the resulting matricas based on the arth metic operation. attach solution on your the comment...
The 40 members of a recreation class were asked to name their favorite sports. The table shows the numbers who responded in various ways. Use information given in the table to answer the following...

In the two-dimensional region shown in Fig, the angular functions appropriate for Dirichlet boundary conditions at ?

Question:

00 Σ sin (m πφιβ) sin (mπ Ιβ) ((φ- Φ)9 β for 0 φ , φ '< β Ξ

Step by Step Answer:

Constant An form a complete orthogonal set on the interval 0 with Dirichlet BC Not...View the full answer

Classical Electrodynamics

Students also viewed these Electrodynamics questions