A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil?
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- A cylindrical wire conductor has radius R = 8 mm. The wire carries a current of 2.0 A which is uniformly distributed over the cross-section of the wire. What is the magnitude of the magnetic field at a radial distance of r=3 mm from the axis of the wire?Three infinitely long parallel wires carry currents /h = 400.0 A, 2= 300.0 A, and la = 500.0 A in the directions shown in the figure below, with separation distance d = 10.0 cm in the vertical direction. Iz a) What are the magnitudes and directions of the magnetic field at the location of each wire due to the other two wires? b) What are the magnitudes and directions of the magnetic force per unit length on each of the wires due to the other two wires? c) What is the mass per unit length of wire #2 if it is suspended at its location (i.e., the gravitational and magnetic forces on the wire are balanced)?A 11-cm-long straight wire is parallel with thex axis and carries a current of 1.8 A in the +x direction. The force on this wire due to the presence of a magnetic B is 2.8 N -2.2 N k. Determine the magnetic field B. B = (C field + 2.2 N k. If this wire is rotated so that it is parallel with the y axis with the current in the +y direction, the force on the wire becomes -2.8 N
- A 10.3 cm long solenoid contains 711 turns and carries a current of 4.29 A. What is the strength B of the magnetic field at the center of this solenoid?A square loop of wire is 5.0 cm on a side. It carries a current of 2.0 Amps and is perpendicular to a magnetic field with a strength of 3000 T. What is the magnitude of the torque on the loop in Newton-meters?A straight, vertical wire carries a current of 2.60 A downward in a region between the poles of a large superconducting electromagnet, where the magnetic field has magnitude B = 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00-cm section of the wire that is in this uniform magnetic field, if the magnetic field direction is south;
- Two neighboring wires are carrying a currents in opposite directions. The wires are separated by a distance of b = 3.5 cm. The currents in the wires are l₁ = 11.7 A, 12 = 8.6 A. What is the combined strength of the magnetic field from the two wires at a point 1.3 cm above the top wire? Keep track of the sign, and designate a field coming out of the page as positive and into the page as negative. Answer in microTesla. b 12 a |1 -DTwo circular loops of wire, each containing a single turn, have the same radius of 3.60 cm and a common center. The planes of the loops are perpendicular. Each carries a current of 2.50 A. What is the magnitude of the net magnetic field at the common center? MurAn alpha particle (a He nucleus, containing two protons and two neutrons) with a mass of 7.75×10−25kg traveling horizontally at 50.0 km/s enters a uniform, vertical, 1.60 T magnetic field.a) What is the diameter of the path followed by this particle?b) What is the magnitude of the acceleration of the particle while it is in the magnetic field?
- A Block-Spring System A block of mass 1.0 kg is attached to horizontal spring that has a force constant of 2,000 N/m as shown in figure (a). The spring is compressed 3.0 cm and then released from rest as in figure (b). (a) A block attached to a spring is pushed inward from an initial position x -0 by an external agent. (b) At position x, the block is released from rest and the spring pushes it to the right. x = 0 (For the following, when entering a mathematical expression, do not substitute numerical values; use variables only.) (a) Calculate the speed of the block as it passes through the equilibrium positio x = 0 if the surface is frictionle SOLUTION Conceptualize This situation has been discussed before, and it is easy to visualize the block being pushed to the right by the spring and moving with some speed at x = 0. Categorize We identify the system as the block and model the block as [--Select-- Vsystem. Analyze In this situation, the block starts with v, = 0 at x, = -3.0 cm, and…A proton is traveling at 70 x 106 m/s perpendicular to a 60.1 T uniform magnetic field. What will be the radius of the circular path it will follow in this magnetic field?An electron moves with a speed of 1.0 x 107 m/s in the directions shown. A 0.50 T magnetic field points in the positive x-direction. For each, what is the magnetic force on the electron? Give your answers as a magnitude and a direction.