In Figure an arrangement known as Helmholtz coils consists of two circular coaxial coils, each of N
Question:
In Figure an arrangement known as Helmholtz coils consists of two circular coaxial coils, each of N turns and radius R, separated by distance s. The two coils carry equal currents i in the same direction.
(a) Show that the first derivative of the magnitude of the net magnetic field of the coils (dB/dx) vanishes at the midpoint P regardless of the value of s. Why would you expect this to be true from symmetry?
(b) Show that the second derivative (d2B/dx2) also vanishes at P, provided s = R. This accounts for the uniformity of B near P for this particular coil separation.
oto P R
Step by Step Answer:
a The magnitude of the magnetic field on the axis of a circular loop a distance z from the loop cent...View the full answer
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Related Video
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. The video shows the practical implications of magnetic force around different objects.
Students also viewed these Electricity and Magnetism questions
-
The below inductor loop (has N turns and radius a) is placed in the x- plane with the centre at the origin and connected to a resistor R. A magnetic field B is passing through the loop. Find the...
-
Figure shows an arrangement known as a Helmholtz coil. It consists of two circular coaxial coils, each of 200 turns and radius R = 25.0 cm, separated by a distance s = R. The two coils carry equal...
-
Why would you expect most U.S. common stocks to have positive covariances? Give an example of two stocks that you would expect to have a very high positive covariance. Give an example of two stocks...
-
You are given the following information concerning four stocks: a) Using 20X0 as the base year, construct three aggregate measures of the market that simulate the Dow Jones Industrial Average, the...
-
On October 1, 2018, Kitchen Design paid $15,000 for store rent covering the six-month period ending March 31, 2019. Requirements 1. Journalize the entry on October 1 by using the alternative...
-
Discuss several demand forecasting issues.
-
Asteroids are objects that orbit the sun. The smallest distance that an asteroid gets to the sun during its orbit is called the perihelion. Asteroids also have orbital periods, or the time it takes...
-
Adjustment data for Oasis Health Care Inc. for January are as follows: 1. Insurance expired, $800. 2. Supplies on hand on January 31, $1,100. 3. Depreciation on building, $2,000. 4. Unearned rent...
-
Refer to Exhibit Table. Assume that the current spot rate is S 0 /? = 2/?. If i = 7% and i ? = 5%. What is NPV assuming the international parity conditions hold? 2. Refer to ...
-
4.39 Obtain the Thevenin equivalent at terminals a-b of the circuit in Fig. 4.106. 1A 10 ww 16 ww o a 10 5 Q 8 V Figure 4.106 For Prob. 4.39 ww
-
A long, hollow, cylindrical conductor (inner radius 2.0 mm, outer radius 4.0 mm) carries a current of 24 A distributed uniformly across its cross section. A long thin wire that is coaxial with the...
-
A square loop of wire of edge length a carries current i. Show that, at the center of the loop, the magnitude of the magnetic field produced by the current is B = 22 0 i/a.
-
Hamilton County judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed,...
-
What is the total amount you will have to repay for your $49,000 student loan if the interest rate is 4% APR with monthly compounding and you pay equal monthly payments over the 10 year life of the...
-
If you do not use your 3 6 0 store credit today, it expires ( i . e . , becomes worthless ) ! You can either use the credit to buy the $ 3 6 0 pour over, the 3 6 0 cortado or let the credit...
-
The concept of opportunity cost is an important one in economics. It is essential to understand the distinction between explicit and implicit costs. For this assignment, consider an event at work...
-
An investment will pay you $700 at the end of each of the next 2 years, $600 at the end of year 3, $4500 at the end of year 4, and $250 at the end of year 5. If other investments of equal risk earn...
-
Assume that you have decided to investone-half of your money in Walmart and the remainder in Target. Calculate the monthlyholding-period returns for your two-stock portfolio as the average of the two...
-
Differentiate between stable and unstable system.
-
A number of years ago the United Food and Commercial Workers Union organized 800 workers of the 1035 employees at one of the Wilson Brothers food operations in Toronto, Ontario. The employees include...
-
Find the minimum and maximum values of the function on the given interval by comparing values at the critical points and endpoints. y = x 3 + x 2 x, [2, 2]
-
A cylinder rolls without slipping over a horizontal plane. The radius of the cylinder is equal to r. Find the curvature radii of trajectories traced out by the points A and B (see Fig, 1.7). C)...
-
Two solid bodies rotate about stationary mutually perpendicular intersecting axes with constant angular velocities 1 = 3.0 rad/s and 2 = 4.0 rad/s. Find the angular velocity and angular acceleration...
-
A solid body rotates with angular velocity = ati + bt2j, where = 0.50 rad/s2, b = 0.060 rad/s3, and i and j are the unit vectors of the x and y axes. Find: (a) The moduli of the angular velocity and...
-
B1: Ricardian trade theory Questions 9-18 relate to the following information. Consider a world consisting of two countries, Kenya and Uganda. Each country can produce two goods, Shoes and Grain,...
-
I'm trying to get the question from this book Magleby, David B., Paul C. Light, and Christine L. Nemacheck. Government by the People, 2011 Brief Edition. Boston: Longman Publishing. 2011 chapter 1...
-
Chapter 4: Trade barriers and regulations 1. why were tariffs unable to control textile and apparel trade? 2. what was the purpose of the WTO agreement on textiles and clothing? Give the answer...
Study smarter with the SolutionInn App