direction of the current in the copper rod that
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A copper rod of length 0.98 m is lying on a frictionless table (see the drawing). Each end of the rod is attached to a fixed wire by an unstretched spring that has a spring constant of k=82 N/m. A magnetic field with a strength of 0.20 T is oriented perpendicular to the surface of the table. (a) What must be the direction of the current in the copper rod that causes the springs to stretch? (b) If the current is 10 A, by how much does each spring stretch?
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- A long iron bar lies along the x-axis and has current of I = 14.8 A running through it in the +x-direction. The bar is in the presence of a uniform magnetic field, perpendicular to the current. There is a magnetic force per unit length on the bar of 0.115 N/m in the -y-direction. (a) What is the magnitude of the magnetic field (in mT) in the region through which the current passes? mT (b) What is the direction of the magnetic field in the region through which the current passes? +x-direction -x-direction +y-direction -y-direction +z-direction -z-directionThe two conducting rails in the drawing are tilted upward so they each make an angle of 30.0° with respect to the ground. The vertical magnetic field has a magnitude of 0.048 T. The 0.23-kg aluminum rod (length = 1.6 m) slides without friction down the rails at a constant velocity. How much current flows through the rod? Number Conducting rails 1.6 m- Units B 30°A thin aluminum rod lies along the x-axis and has current of I = 15.7 A running through it in the +x-direction. The rod is in the presence of a uniform magnetic field, perpendicular to the current. There is a magnetic force per unit length on the rod of 0.119 N/m in the -y-direction. (a) What is the magnitude of the magnetic field (in mT) in the region through which the current passes? mT (b) What is the direction of the magnetic field in the region through which the current passes? +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction O O O O O O
- A = 60 B = 70 C = 170 D = 71.7 x 10-27 kg and a charge 3.0 x 10 m/s in the direction illustrated by a red arrow in the drawing above. The particle enters a region with a uniform magnetic field of magnitude B = 0.1 T (direction is given as a black arrow in the drawing). An angle between velocity and A positively charged particle with a mass m = e = 1.6 x 101 C moves with a speed v = %3D magnetic field vectors is 30 degrees. (a) (E. motion in a plane transverse to B. Show that the radius of this circle is R = Part of the particle's trajectory in this region will be circular 0.16 m. (b) complete revolution around the circle is T = 6.7 x 107 s. Show that the time it takes the proton to execute one (c) Sketch the three-dimensional trajectory of the particle. How far will the particle move in the direction of B in the time T = 6.7 x 10 s?A bar slides to the right at a constant speed of 2.1 m/s on two frictionless rails. The resistance of resistor R is 5.2 Q, and a 2.5 T constant magnetic field is directed perpendicularly downward, into the page. Let e = 1.2 m. Bin x x app x x (a) Find the current passing through the resistor. A I = (b) The direction of magnetic force on the moving bar is O No magnetic force O Right O Left O Out of the page O Into the page 1 x x x X x x x x X X x x * * x x x * * x x x x x x xx X X x x
- One component of a magnetic field has a magnitude of 0.0383 T and points along the +x axis, while the other component has a magnitude of 0.0735 T and points along the -y axis. A particle carrying a charge of +2.22 × 10-5 C is moving along the +z axis at a speed of 4.97 x 10³ m/s. (a) Find the magnitude of the net magnetic force that acts on the particle. (b) Determine the angle that the net force makes with respect to the +x axis. (a) Number (b) Number i IN Units Units By +qA = 60 B = 70 C = 170 D = 7An infinitely long wire carrying a current of I = 2.95 A is bent into the shape shown in the figure. The angle the arc subtends is e = 68.0° and the radius of the arc is 24.5 cm. Determine the magnitude and direction of the magnetic field at the point P which is at the center of the arc. (Let the +x direction point to the right, the +y direction point up, and the +z direction point out of the page.) magnitude direction --Select--- -Select--- +x
- A magnetic dipole with a dipole moment of magnitude 0.0306 J/T is released from rest in a uniform magnetic field of magnitude 57.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.573 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle when the dipole is next (momentarily) at rest?A 1.00 C charge enters a uniform magnetic field. The magnetic field vector has the following components: 1.00 T in the x-direction, 2.00 T in the y-direction, and 3.00 T in the z-direction. The particle enters the magnetic field with a constant velocity whose components are as follows: 4.00 m/s in the x-direction, 5.00 m/s in the y-direction, and 6.00 m/s in the z-direction. - What are the components of the magnetic force in the particle? (Fx, Fy, and Fz) - What is the magnitude of the magnetic force?