When x, y, and z are positive and less than 5, a certain magnetic field intensity may be expressed as H x 2 yz (y 1) a x 3x 2 z 2 a y xyz 2 (y 1) a z Find the total current in the ax direction that crosses the strip x 2, 1 y 4, 3 z 4, by a method utilizing (a) A surface integral (b) A closed line integral

Question: When x, y, and z are positive and less than 5, a certain magnetic field intensity may be expressed as H = [x 2 yz/(y

When x, y, and z are positive and less than 5, a certain magnetic field intensity may be expressed as H = [x²yz/(y + 1)]a_x + 3x²z²a_y − [xyz²/(y + 1)]a_z. Find the total current in the ax direction that crosses the strip x = 2, 1 ≤ y ≤ 4, 3 ≤ z ≤ 4, by a method utilizing:

(a) A surface integral;

(b) A closed line integral.

Step by Step Solution

★★★★★

3.43 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a We need to find the current density by taking the curl of the given H Actually since the st... 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

Students Have Also Explored These Related Principles Communications Systems Questions!

sA student is given four solid samples labeled W, X, Y, and Z. All except Z have a metallic luster. She is told that the solids could be gold, lead sulfide, quartz (SiO2), and iodine. The results of...

When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field E = E0k, the resulting electric potential is V(x,...

A flat, square surface with sides of length L is described by the equations (a) Draw this square and show the x-, y-, and z-axes. (b) Find the electric flux through the square due to a positive point...

Some electric field lines are shown. Three charges are labeled (1, 2, and 3). 2 2. Which charge(s) is/are positive charges? a. Charge 1 only b. Charge 2 only c. Charges 1 and 3 d. Charges 2 and 3 e....

E-Physics Tutorial Book Note: I have attached below the lesson for the 3 activities. Thank you so much for your time and effort. Activity 1. Directions: Use the right-hand rule to determine the...

The oceans of the world were all produced by a process known as sea floor spreading, a theory first proposed around 1960. This process involves the formation of new basaltic ocean floor at the mid...

1. In the figure below, both currents in the infinitely long wires are 6.75 A in the negative x direction. The wires are separated by the distance 2a = 7.75 cm. (a) Sketch the magnetic field pattern...

W= Lab 9 Measuring the Earth magnetic field ? No Label Q se References gs Review View Aav EVEVEY AaBbCcDdEe AaBbCcDdEe AaBbC AaBbCc[ Av DV Av Normal No Spacing Heading ? Heading 2 Styles Dictate Pane...

Find the magnetic field intensity at P (4,3,1) due to an infinite current ine having 3n Ampere current flowing in negative z axis hint H= the solution steps: 1. the intersection between the current...

In phasor form, the field intensity of a uniform plane wave in free space is given by E B (vector) = (40-30j) e -j20z a x v/m a) Find the operating frequency f. b) Find the wavelength 2. c) Express...

1. What are the benefits of the empowerment culture at Pike Place Fish Market? 2. When a new employee is being recruited to join a team at Pike Place, who should decide which employee to select for...

Magic Realm, Incorporated, has developed a new fantasy board game. The company sold 9,000 games last year at a selling price of $69 per game. Fixed expenses associated with the game total $90,000 per...

(This weighting procedure involves what marketing researchers refer to as a constant sum scale.) b. Next, evaluate each brand in terms of your perception of its performance on each packaging...

3.15 Let the distribution of X depend on parameters and , let the risk function of an estimator = (x) of be R(,; ), and let r(,) = R(,; ) dP() for some distribution P. If 0 minimizes sup r(,) and...

(a) If two sounds differ by 5.00 dB, find the ratio of the intensity of the louder sound to that of the softer one. (b) If one sound is 100 times as intense as another, by how much do they differ in...

Many opera singers (and some pop singers) have a range of about 2 octaves or even greater. Sup-pose a sopranos range extends from A below middle C (frequency 220 Hz) up to -flat above high C...

You live on a busy street, but as a music lover, you want to reduce the traffic noise. (a) If you install special sound-reflecting windows that reduce the sound intensity level (in dB) by 30 dB, by...

The Green Giant has a 5 percent profit margin and a 3 9 percent dividend payout ratio. The total asset turnover is 1 . 1 times and the equity multi times. What is the sustainable rate of growth?...

Par Two: 4 questions ((Please round up your answer to the nearest two decimals) 1. (20 points) : Your credit card's annual interest rate is 24 pereent and your credit card begins the billing cycle on...

Your firm is contemplating the purchase of a new $773,500 computer-based order entry system. The system will be depreciated straight-line to zero over its sevn-year life. It will be worth $53,000 at...