If the U-shaped conductor in the figure has resistivity ρ, whereas that of the moving rod is negligible, derive a formula for the current I as a function of time. Assume the rod starts at the bottom of the U at t=0 and moves with uniform speed v in the magnetic field B. The cross-sectional area of the rod and all parts of the U is A.

A total current of 88 mA flows through an infinitely long cylinderical conductor of radius r = 6 cm which has an infinitely long cylindrical hole through it with a diameter equal to r centered at along the x-axis as shown. 2 y T. X What is the magnitude of the magnetic field at a distance of 19 cm along the positive - axis? The permeability of free space is 4 π x 107T m/A. Assume the current density is constant throughout the conductor. Answer in units of T. Answer in units of

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An electron moves in a circle of radius r = 6.19 × 10-11 m with a speed 2.47 x 106 m/s. Treat the circular path as a current loop with a constant current equal to the ratio of the electron's charge magnitude to the period of the motion. If the circle lies in a uniform magnetic field of magnitude B = 6.04 mT, what is the maximum possible magnitude of the torque produced on the loop by the field? Number i Units

A particle with charge 2.50 µC and mass 3.00x10-11 kg is initially traveling in the +y-direction with a speed vo = 1.60x105 m/s. It then enters a region containing a uniform magnetic field that is directed into, and perpendicular to, the page in the figure (Figure 1). The magnitude of the field is 0.450 T. The region extends a distance of 25.0 cm along the initial direction of travel; 75.0 cm from the point of entry into the magnetic field region is a wall. The length of the field- free region is thus 50.0 cm. When the charged particle enters the magnetic field, it follows a curved path whose radius of curvature is R. It then leaves the magnetic field after a time t1, having been deflected a distance Az1. The particle then travels in the field-free region and strikes the wall after undergoing a total deflection Ar. Part C Determine Az1, the horizontal deflection at the point of exit from the field. Express your answer in meters. Π ΑΣφ. ? Ar1 = Submit Previous Answers Request Answer…

loop. The magnetic field in this case is A vertically oriented square loop of copper wire falls from rest in a region in which the field B is horizontal, uniform, and perpendicular to the plane of the loop, into a field- free region, see (Figure 1). The side length of the loop is s and the wire diameter is d. The resistivity of copper is PR and the density of copper is pm. If the loop reaches its terminal speed while its upper segment is still in the magnetic-field region, find an expression for the terminal speed. Part I Find the emf. Express your answer in terms of the variables s, B, and v. ▸ View Available Hint(s) E = Ο ΑΣΦ Submit Figure Square loop of copper wire. Above this line: Buniform and horizontal Below this line: B=0 s = side length X X 1 of 1 X X X XBX X dwire diameter ↑ s = side length Part J Complete previous part(s) Part K Complete previous part(s) Part L Complete previous part(s) Part M Complete previous part(s) Part N Complete previous part(s) EVALUATE Uterminal Part…

Figure shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i.   (a) What the equation of the magnetic field magnitude B(r) for the radial distance r in the range b < r < a (b) What is the magnetic field strength when r = a (c) What is the magnetic field strength when r = b (d) What is the magnetic field strength when b = 0

A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 9.8 cm formed from wire of diameter 2.7 mm and resistivity of 2.41 × 10-8Ω·m. At what rate must the magnitude of the magnetic field change to induce a 11 A current in the loop?

The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1=4 cm and outer radius r2=6.5 cm. A 35-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r=2.5 cm, r=5.5 cm, and r=8 cm. Magnetic field at r=2.5 cm is_______T.  Magnetic field at r=5.5 cm is__________T.  Magnetic field at r=8 cm is____________T.

We have a long wire with a circular cross section and radius a = 2.40 cm. The current density in this wire is uniform, with a total current of 4.00 A. Find the magnitude of the magnetic field at a distance of 0.72 cm from the center axis. Treat the wire as a cylinder. The picture is of a circular cross-section of that cylinder.