Why is the upward flux of a vertical vector field F = (0, 0, 1) across a

Question:

Why is the upward flux of a vertical vector field F = (0, 0, 1) across a surface equal to the area of the projection of the surface in the xy-plane?

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus For Scientists And Engineers Early Transcendentals

ISBN: 9780321849212

1st Edition

Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran

See More Books

Question Posted: May 24, 2023 03:34 AM

See More Questions

The motion of a charged particle in an electromagnetic field can be obtained from the Lorentz equation for the force on a particle in such a field, if the electric field vector is E and the magnetic...
Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward)...
The magnetic induction in vacuum at a plane surface of a magnetic is equal to B and the vector B forms an angle θ with the normal n of the surface (Fig. 3.75). The permeability of the magnetic...
Explain factors governing recruitment?
The financial statements for THE Bank are shown below: a. Calculate THE Banks earning assets. b. Calculate THE Banks ROA. c. Calculate THE Banks total operating income. d. Calculate THE Banksspread....
In Problems 61 72, find the numbers at which f is continuous. At which numbers is f discontinuous? f(x): = 2x + 5 x - 4 2 X
The highest temperature during the cycle in vapour compression refrigeration system occurs after (a) compression (b) condensation (c) expansion (d) evaporation
Which of the following might affect the price of a hamburger at Waldo's Lunch counter and why? a. The price of meat goes up. b. A new restaurant tax of 50 per hamburger is imposed. c. Waldo's is...
Interest rate swap Triple A and Triple B have been offered the following rates per annum on a $10 million 5-year loan: Triple A Triple B S&P credit rating AAA BBB Fixed rate 10.5% 13.6% Floating...
Find the divergence of the following vector fields. F (12x, -6y, -6z) =
Describe the usual orientation of a closed surface such as a sphere.
Cermaks Fine Furnishings manufactures upscale custom furniture. Cermak Fine Furnishings currently uses a plantwide overhead rate based on direct labour hours to allocate its $1,100,000 of...
Use next year's Cash Flow Forecast for Blank Company to answer the question(s) below. Demand Cash Flow Weak $25,000 Expected Strong $35,000 $45,000 Suppose Blank Company has only one project, as...
Discuss the accounting treatment of restructuring liabilities. How are income taxes payable accounted for in financial statements? Explain the concept of deferred tax liabilities. What is a mortgage...
What would you miss most if you were incarcerated in prison?
You are a claims handler for an insurer. One of its policyholders, NMO Ltd, a hotel chain, has a commercial combined insurance policy. You have received a claim from NMO Ltd. NMO Ltd states that,...
Managerial Systems Inc. is expected to pay a 3.50 dividend at year end (D1 = $3.50), the dividend is expected to grow at a constant rate of 5.50% a year, and the common stock currently sells for...
Len incurs $5,000 of deductible moving expenses in the current year and is fully reimbursed by his employer in the same year. a. How are the expense deduction and the reimbursement reported on Lens...
The electric field due to a line charge is given by where l is a constant. Show that E is solenoidal. Show that it is also conservative. E =
The following table shows the result of the 2012 presidential election along with the vote predicted by several organizations in the days before the election. The sample sizes were typically about...
A study published in 2010 in The New England Journal of Medicine investigated the effect of financial incentives on smoking cessation. As part of the study, 878 employees of a company, all of whom...
Summarize what you have discovered about the relationship between political philosophy and preference for government action in Exercises 16.14616.149. In particular, discuss the coefficients of...
Is the estate tax really a death tax? Who pays the tax? What percent of the probated estates pay an estate tax? Does your state have a state estate tax? If so, is the state government happy about...
Hart, Attorney at Law, experienced the following transactions in Year 1, the first year of operations: 1. Accepted $19,300 on April 1, Year 1, as a retainer for services to be performed evenly over...
Write a letter of advice to Sarah in the space below. Your letter of advice must provide a summary of your meeting and a confirmation of the documents required to proceed? Met with Sarah to discuss...

Why is the upward flux of a vertical vector field F = (0, 0, 1) across a

Question:

Step by Step Answer:

The upward flux of a vertical vector field F 0 0 1 across a surface is equal to the area of the proj...View the full answer

Calculus For Scientists And Engineers Early Transcendentals

Students also viewed these Mathematics questions