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 ?(?) = Am sin(m??/?). Show that the completeness relation for these functions is
Transcribed Image Text:
00 Σ sin (m πφιβ) sin (mπ Ιβ) ((φ- Φ)9 β for 0 φ , φ '< β Ξ
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (18 reviews)
Constant An form a complete orthogonal set on the interval 0 with Dirichlet BC Not...View the full answer
Answered By
Susan Juma
I'm available and reachable 24/7. I have high experience in helping students with their assignments, proposals, and dissertations. Most importantly, I'm a professional accountant and I can handle all kinds of accounting and finance problems.
4.40+
15+ Reviews
45+ Question Solved
Related Book For
Question Posted:
Students also viewed these Electrodynamics 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...
-
a. Prepare an implementation plan for change that would enable Gar Finnvold to create a fully competitive computer service within two years. b. How could Finnvold conduct an organizational diagnosis...
-
Wheels on a passenger train car have a balance tolerance of G 40. Why is this acceptable?
-
At the end of the current year, the accounts receivable account of Glenns Nursery Supplies has a debit balance of $390,000. Credit sales are $2,800,000. Record the end-of-period adjusting entry on...
-
10. The cost, in dollars to produce q items is C(q) = 0.07q + 62q + 1500 Find the marginal cost function. b. Find C(40) and C'(40) showing a step of work for each one. Give units with your answers...
-
A large company buys thousands of light bulbs every year. The company is currently considering four brands of light bulbs to choose from. Before the company decides which light bulbs to buy, it wants...
-
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...
-
Will a Ragone chart confirm the conclusions of exercise 4? Describe how by referencing Figure 8.6. How long to discharge the ultracapacitor? Figure 8.6. 1,000 Lead-acid 100 Fuel Cells NMH 10 Ultra-...
-
General Electric formerly entered a foreign market by either acquiring an established firm or establishing a greenfield subsidiary. Joint ventures with a local company were almost never considered....
-
A shock to aggregate supply will also have different outcomes when there are different assumptions about the formation of the level of expected inflation. As in Question 4, one assumption is that the...
-
IBMs CEO, Sam Palmisano, likes to talk about the evolution of global strategy at one of the worlds largest computer enterprises. According to Palmisano, when IBM first started to expand...
-
Convergence in two sets of countries Consider three rich countries: France, Belgium, and Italy, and four poor countries, Ethiopia, Kenya, Nigeria, and Uganda. Define for each country the ratio of its...
-
Back in 1970, companies in the United States assembled more than 15 million bicycles a year. Then globalization took hold. As cross-border tariffs tumbled, U.S. bicycle companies increasingly...
-
State whether you think a business would recognise the following as revenue. When would it be recognised? a Cash sale by business $20 000 b Sale of excess equipment by a restaurant $350 c...
-
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...
-
The wheels of a skateboard roll without slipping as it accelerates at 0.45 m/s down an 80-m-long hill. Part A If the skateboarder travels at 1.5 m/s at the top of the hill, what is the average...
-
A 2.30 g air-inflated balloon is given an excess negative charge, q = -3.50 10-8 C, by rubbing it with a blanket. It is found that a charged rod can be held above the balloon at a distance of d =...
-
A positive charge q = 2.60 C on a frictionless horizontal surface is attached to a spring of force constant k as in the figure shown below. When a charge of 42 = -8.350 C is placed 9.50 cm away from...
Study smarter with the SolutionInn App