Equation 5.4 expresses the change of magnetic field depending on the distance from the center. Question Calculate the expected ratio of the magnetic field between the ends of the solenoid (x = L/2 or – L/2) and its center (x = 0) for a finite length solenoid for L~R and L » R cases by using Equation 5.4.

Equation 5.4 expresses the change of magnetic field depending on the distance from the center. Question Calculate the expected ratio of the magnetic field between the ends of the solenoid (x = L/2 or – L/2) and its center (x = 0) for a finite length solenoid for L~R and L » R cases by using Equation 5.4.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

k k R E A rigid wire in the form of a semicircle of radius r = 5m lies on the top of a fricti onless smooth table. The center of the semicircle is o as shown in the figure. A uniform magnetic field B = 5T out of the paper is applied and confined in the given region above the dashed line. The ends of the semi circl e wire are attached to one ends of two identical conducting springs whose other ends are fixed. The springs can only move along the y-axis. Since the battery ɛ = 50V is connected to fixed ends of the springs through the resistor = 50ohm , the current I flows through the circuit. Find the tension of the springs. а) 1N b) 4N c) 9N d) 16N e) 25N le
Fifty wire loops of radius 0.6m are bound together in a region where there is a 3.5T magnetic field which passes through there centers. At t-0 sécands, these loops are rotated with an angle given by the equation below O(t)=25+² - 20t+4 what will be the total electromotive force of the wire loops at t=25 seconds ?
An airplane with a total width of wings as 40 m, flies southbound at a location where the downward component of Earth's magnetic field is 1.3 × 104 T. In addition to that component Earth also has another component northbound of amount 0.47 × 10 4T. Calculate the possible potential difference between the wing-tips if the plane moves forward with a speed 0.35 km/s. Which wingtip should be positively charged?
A current I= 4.0 A flows along a straight wire on the axis of a long cylindrical tube, which has internal radius a= 2.0 cm, external radius 2a, and is made of an LIH magnetic material with relative permeability u = 5.0, as shown below. 2a Derive an expression in terms of I, u and a for the bound surface current per unit length İh on the inner surface of the tube due to its magnetization, and hence calculate the magnitude ib of this surface current per unit length and specify the direction in which this current flows. Give your answers by entering a number in the expression below for the magnitude i and selecting the direction from the list of cylindrical unit vectors. Am- Ib = Direction of ib: +er -er +eo -eo +ez -ez 0.0
An infinitesimal element dl = dzk is located at the origin (x, y, z) = (0, 0, 0) with a current I flowing along the direction of dl. What is the infinitesimal magnetic field dB at point (-1,1,1) due to this element? Ho Idz а. (i + j) 4Tt 3 Ho Idz b. 4t 33/2 (i + j) 0. (-i - i) Ho Idz с. 4Tt 3 Ho Idz d. (-i - ) ,3/2 4TT 3° 33/2 a.
A flat 12-cm ́12-cm square coil has 30 turns and sits in the xy-plane. It carries a 38-A current that is clockwise when viewed from above, the positive-z direction. (a) What is the magnetic field (vector) at the center of the coil?
An 800 turns solenoid of length L = 0.4 m, radius R =10 cm, producing a uniform magnetic field B = 3.27 ×10°T.Find a) The current in the solenoid b) If a rectangular loop (5 cm length and 2 cm width) is placed in the magnetic field of the solenoid. If the angle between the magnetic field and the plane of the loop is 379, calculate the magnetic flux through the loop. Ho = 4TT x 10-/ T.m/A A- B I II !
In a given region of space, the vector magnetic potential is given by A = x5 coszy + z(0.2+ sin zx) mWb/m. The magnetic flux passing through a square loop with 0.25 cm long edges if the loop is in the x-y plane, its center is at the origin, and its edges are parallel to the x- and y- axis?
A current of 21.0 mA is maintained in a single circular loop of 3.20 m circumference. A magnetic field of 0.530 T is directed parallel to the plane of the loop. (a) Calculate the magnetic moment of the loop. mA-m² (b) What is the magnitude of the torque exerted by the magnetic field on the loop? mNm Need Help? Wich
The two long coaxial solenoids of radius a and b carry curent I= 6 mA but in opposite directions. Solenoids are placed along y-axis as shown in figure. The inner solenoid has 2000 turns per unit length and outer solenoid has 1000 turns per unit length. Calculate Magnetic field intensity inside the inner solenoid will be z4
A magnetic field B exists inside a circular region of radius a whose normal is along the z-axis as shown in Fig. 3. The direction of B makes an angle 0 with the z-axis. The value of B varies with time t according to B(r,t) = B,r²cos(wt) where r is the radial coordinate from the center of the circle, w is the constant angular frequency and B, a constant amplitude. В a FIGURE 3 (a) Find the magnetic flux through the circle. Using your result, determine the magnetic flux through the circle at time t = 0. (b) Determine the value of the induced EMF at wt = 31/2. (c) If the rim of the circle is a metal loop having resistance R, what is the induced current I in the loop? Using Lenz's law, determine the flow direction of the induced current in this wire at times wt = O and wt = T/2. (d) Following (c), the induced current I in the metal loop will generate its own magnetic field B;. class we derived a formula for the magnetic field at the central axis of a circular current by Biot- Savart law.…
Help me