Suppose the current density, J, is given by J = ks²2 for a cylindrical wire oriented along the z-axis, with a radius, a. Using Ampere's Law, determine the magnetic field in the wire at a location s: a. where s a. C. confirm that V. B = 0
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- A proton and an electron enter a region of uniform magnetic field with a velocity oriented perpendicular to the field. Determine which of the following statements describes the circular orbits of the two particles. a. The two orbits have the same radius and the same direction. b. The two orbits have a different radius but the same direction. c. The two orbits have different radii and different directions. d. The two orbits have the same radius but different direction.An electron accelerates from rest in a horizontally directed electric field through a potential difference of 87V. The electron leaves the electric field, entering a magnetic field of magnitude 0.4T directed into the page. a.) Calculate the initial speed of the electron upon entering the magnetic field. b.) Calculate the magnitude and direction of the magnetic force on the electron c.) Calculate the radius of the electron's circular path.1. .A straight wire with length L carries a current I which is directed to the right and is perpendicular to an unknown uniform magnetic field B. A magnetic force F acts on a conductor which is directed downwards. A. Determine the magnitude and the direction of the magnetic field in the region through which the current passes. B. If the angle between the current and the magnetic field is e this time, what would be the new value of the magnitude of the new magnetic force? Pointing System for No. 1: • What are the given in the problem? • What are the unknown variables? • What are the equations that you are going to use? • Solution and answer for Part A. Solution and answer for Part B. L (cm) = 2306 | (A) = 13 F (pN) = 24 O = 61
- a. The magnitude of the magnetic field at a distance R from a long straight wire is equal to B. At what distance will the magnitude of the magnetic field be equal to 3B? b. Two long parallel wires carry equal but opposite currents. Are there any points in space where the total magnetic field is equal to zero? If so, where? If not, why not? C. A simple loop circuit contains two sources, a resistive wire, and a switch. It is placed next to a long straight wire carrying a steady current. As soon as the switch is closed, the loop is suddenly pulled towards the long wire. Which source has a greater emf? Justify your answer. eHe E21) A straight, stiff, horizontal wire of length 48 cm and mass 28 g is connected to a source of emf by light, flexible leads. A magnetic field of 1.33 T is horizontal and perpendicular to the wire. Find the current necessary to float the wire, that is, find the current for which the magnetic force balances the weight of the wire. A Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.6. A wire is formed so as to make a circular loop connecting two long, straight sections as shown in Figure 6. If the radius of the loop is R = 20 cm and the wire carries a current I = 2.4 A, what are the magnitude and direction of the magnetic field at the center of the loop? I If needed, you can use the magnetic field due to a straight wire, and and the magnetic field at the center of a loop derived from Ampere's law. (Hint: The two long sections form one long straight current- carrying wire.)
- a.) A wire 4 m long has a mass of 224 g. The wire is connected to an emf. What is the minimum current in the wire that would allow it to levitate above the ground in a magnetic field of magnitude0.4 T? Round your answer to 2 decimal places b.) Per previous question, what direction must the current flow?2. A small square loop of side length a carries a clockwise current I and is placed within a non-uniform magnetic field described by the expression B = (x² + y²) 2. a. Calculate the direction and magnitude of the total force on the loop. To find the force on each segment, evaluate the integral of Idix B by integrating along x or y in the direction of current flow. Then add the four segment forces together to find the total force. b. Calculate the magnetic dipole moment of the loop. Does a ○ B(x,y) X the loop experience a torque from the magnetic field? C. Where in the xy-plane would the potential energy be at a minimum? Does the force calculated in (a) move the loop toward this location or away from this location?2
- C. For wire m to be levitated. what is the direction of its eurrent ? d) Find the mas m of the third wire. Your answer should be in terms of , I, Im, a, h, g, and lThe diagram below shows two concentric, conducting, circular loops with currents traveling in opposite directions. If the current in the outer loop is I2 = 90.0 μA, what must be the magnitude of the current in the inner loop so that the total magnetic field at the center, C, of both loops is zero? a. 60.0 μA b. 45.0 μA c. 90.0 μA d. 75.0 μA e. 105 μAAn electron is introduced into a uniform magnetic field, Bx = 50.0 μTesla directed at right angles to the electron’s velocity vy = 5 x105 m/s. The electron subsequently moves in a circular path. What is the radius of the circular path? Select one: a. 2.84 cm b. 5.68 cm c. 56.8 cm d. 2.84 m