Question: A very long, straight conductor with a circular cross section of radius R carries a current I. Inside the conductor, there is a cylindrical hole

A very long, straight conductor with a circular cross section of radius R carries a current I. Inside the conductor, there is a cylindrical hole of radius a whose axis is parallel to the axis of the conductor a distance b from it (Figure). Let the z axis be the axis of the conductor, and let the axis of the hole be at x = b. Find the magnetic field B at the point

(a) On the x axis at x = 2R, and

(b) On the y axis at y = 2R.

I in

Step by Step Solution

★★★★★

3.46 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We are applying and using the following notation Le... 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

Document Format (1 attachment)

10-P-E-M-F (928).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A beam of semicircular cross section of radius r is subjected to a bending moment M having its vector at an angle Î¸ to the z axis (see figure). Derive formulas for the maximum tensile s,...

A long, cylindrical conductor of radius R carries a current I that is uniformly distributed over its cross sectional area. Find the magnetic flux per unit length through the area indicated in Figure....

A very long, cylindrical wire of radius R carries a current 10 uniformly distributed across the cross section of the wire. Calculate the magnetic flux through a rectangle that has one side of length...

The magnetic field within a long, straight solenoid with a circular cross section and radius R is increasing at a rate of dB/dt. (a) What is the rate of change of flux through a circle with radius r1...

All parts please (8) [5 points] A coaxial cable consists of very long, straight conductor with a circular cross section of radius a on the same axis as a conducting tube with inner radius b and outer...

4. Consider an innitely long cylinder with a circular cross section of radius R. Let its symmetric axis be the z axis and set up the usual cylindrical coordinate system. Surface currents run parallel...

9. A long, straight solid cylinder, oriented with its axis in the z-direction, carries a current whose current density, J , is given by the following expression: 2 a 2 .70") = 21" [1(:) ]53, when r s...

A long straight solid cylinder oriented with its axis in the z-direction, carries a current whose current density is 1. The current density, although symmetrical about the cylinder axis, is not...

A cylindrical conductor with a circular cross section bas a radius a and a resistivity p and carries a constant current. (a) What arc the magnitude and direction of the electric-field vector E at a...

A long cylindrical conductor of radius R carries a current I as shown in Figure P30.29. The current density J, however, is not uniform over the cross section of the conductor but is a function of the...

What is the nature of governments role in compensation?

If you are looking for a return of at least 10%, what would you invest in a company, given that it just paid a dividend of 1.80, and estimates a growth rate of 3%?

Consider the idea of whether the United States should converge accounting standards with IFRS. Find a news article related to this topic using the MCC Library resources ( see link and instructions...

Create a Brand Positioning Statement (2-3 lines) of the brand based on your chosen target market. You can also give the brand a hypothetical brand name it.

5. Solve the differential equation (do not try to isolate y): (x + 1)(r 2)y' = cos" y

Roland had a taxable estate of $15.5 million when he died this year. Calculate the amount of estate tax due (if any) under the following alternatives. a. Rolands prior taxable gifts consist of a...

Complete the following table. Principal (P) Simple Interest (I,) Rate Time Future (r) (t) Value (F) 1.) 2.) P40,000 2% 3 years 5 years 1.5 years P 2,500 3,600 P15, 400 10% 3.) 4.) 5.) P100,000...

Convert: (a) 7.98 10 23 L to liters (b) 3.00 10 3 mg to grams (c) 4.21 10 8 mL to gallons [1 m 3 = 264 gallons]

Whiplash sometimes results from an automobile accident when the victims car is struck violently from the rear. Explain why the head of the victim seems to be thrown backward in this situation. IS it...

A heavy crate rests on the bed of a flatbed truck. When the truck accelerates, the crate remains where it is on the truck, so it, too, accelerates. What force causes the crate to accelerate?

A block is given a push so that it slides up a ramp. After the block reaches its highest point, it slides back down but the magnitude of its acceleration is less on the descent than on the ascent....

Stocks X and Y have the following probability distributions: Calculate the expected rate of return for each stock. Calculate the standard deviation for each stock. Calculate the coefficient of...

6. Modigliani and Miller assumptions In 1958 Franco Modigliani and Merton Miller (MM) published a set of research papers that revolutionized the theory of a corporation's capital structure. In their...

Drill Problem 1 0 - 1 3 ( Algo ) [ LU 1 0 - 3 ( 1 ) ] Given Principal $ 1 4 , 0 0 0 , Interest Rate 7 % , Time 2 4 0 days ( use ordinary interest ) Partial payments: On 1 0 0 th day, $ 5 , 4 0 0 ; On...