Concept explainers
The magnetic field of a permanent magnet (I)
Prediction: Calculate the magnitude of the magnetic field as a function of the distance from one of the poles along the longitudinal axis.
Prediction method:
We are going to assume that a magnet behaves similarly to an electric dipole in order to get a mathematical model for the magnetic field. This comparison is not based on any physical theory (because we know there is no magnetic charge), but it has the advantage of allowing us to simply analyze the field of a magnet.
4. Obtain an expression for the magnitude of the magnetic field B as a function of d and L assuming that all constants (Coulomb's constant and the two "magnetic" charges) are equal to one.
5. Graph B against d.
Step by stepSolved in 3 steps with 3 images
- 1. In the diagram below, a charged particle enters a region of uniform magnètic field where B 0.6 T. The particle has an initial speed of 2.7 x 106 m/s. Keep in mind Newton's Second Law and recall the equation for centripetal acceleration: 1²/r. a. Ignore gravity and first determine the sign of the charged particle if it follows the trajectory of the dashed semicircle. b. Next, use the information given to derive an equation for the charge-to-mass ratio (q/m) of the particle in terms of the particle's speed, the magnitude of the magnetic field and the radius of the semicircle. c. Lastly, calculate the charge to mass ratio of this particle. 95.0 cm Barrow_forwardYou have learned that a charge moving in an magnetic field can experience a magnetic force. Remarkably, anytime that a charged particle moves that particle produces its own magnetic field! The image below of magnetic compasses forming a circle around a current-carrying wire demonstrates the shape of the magnetic field. The magnetic field lines forms concentric circles around that wire. The strength of the field decreases with increasing distance away from the wire. If the current in the wire is 1.15A, what is the magnitude of the magnitude of the magnetic field (in ?μT, or micro-Tesla) a distance of 0.88m away from the wire?arrow_forwardq19arrow_forward
- You have learned that a charge moving in an magnetic field can experience a magnetic force. Remarkably, anytime that a charged particle moves that particle produces its own magnetic field! The image below of magnetic compasses forming a circle around a current-carrying wire demonstrates the shape of the magnetic field. The magnetic field lines forms concentric circles around that wire. The strength of the field decreases with increasing distance away from the wire. DOCES PAMIE DOCERE B If the current in the wire is 7.79A, what is the magnitude of the magnitude of the magnetic field (in μT, or micro-Tesla) a distance of 0.32m away from the wire? Note: It is understood that the unit of your answer is in μT, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit, your answer will be counted wrong.arrow_forwardQ1) Example 11.1: Page No. 498: (Practice) An alpha-particle of charge 3.2 x 10 19 C moves through a uniform magnetic field of 1.5 T. What is the maximum magnetic force on the alpha-particle when it is moving with a speed of 5.0 x 10 m/s? Q2) Problem 23: Page No. 525: (Practice) An electron moving at 4.00 x 10 m/s in a 1.25-T magnetic field experiences a magnetic force of 1.40 x 10 N. What angle does the velocity of the electron make with the magnetic field? Q3) Problem 33: Page No. 526: An alpha-particle (m-6.64x10"kg, q=3.2×101°C) travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 1.5 T. (a) What is the speed of the particle? (b) What is the kinetic energy in electron volts? (1 electron-volt = 1.602x10 9 joule) Q4) Problem 25: Page No. 525: (Practice) A cosmic-ray electron moves at 7.5x10 m/s perpendicular to Earth's magnetic field at an altitude where the ficld strength is 0.1 G. What is the radius of the circular path the electron follows? F00…arrow_forwardWhich of the following statements are true for magnetic field lines? a) Magnetic field lines point in the direction of the magnetic force acting on a charge. b) Magnetic field lines are close together in regions of space where the magnitude of the magnetic field is weak, and they are farther apart in regions where it is strong. c) Magnetic field lines can never intersect. d) Unlike enlectric field line, magnetic field lines are continuos. e) At every point in space, the magnetic field vector at that point is a tangent to the magnetic field line throught that point.arrow_forward
- 1. Here let's analyze the demo from lecture with two parallel wires. a) We will start with the case that the currents IR and IL are in the same direction: e IL IR d If the length of the wires is much greater than the distance between the wires (l >> d), find an approximate expression for the magnetic force on each wire. Are the forces attractive or repulsive? b) What would happen to the direction of the forces if you switched the direction of IR or IL? Make sure to explain your answer.arrow_forwardWhich of the following statements is TRUE about mapping magnetic field lines around a bar magnet using a compass? A. The experiment is wrong because the magnetic field being detected by the compass is the resultant of the bar magnet's magnetic field and the Earth's magnetic field. B. The magnetic field being detected by the compass is the resultant of the bar magnet's magnetic field and the Earth's magnetic field. C. The magnetic field near a bar magnet is very much larger compared to the Earth's magnetic field, thus, the mapped magnetic field using a compass is indeed from the bar magnet only. D. The magnetic field lines around a bar magnet are effectively estimated by the experiment because the concrete walls isolate the inside of a laboratory or a house to the Earth's magnetic field. E. The intensity of the bar magnet's magnetic field can be determined by the compass.arrow_forwardNa+ B A horizontally moving positive sodium ion enters a magnetic field that points up. The magnetic force pushes the charge out of its original path. A. Into the page B. Out the page OC. To the left of the page D. There is not enough information to answerarrow_forward
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