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brown (rb32829) - WebAssign#5 - lu - (11294) 1 This print-out should have 26 questions. Multiple-choice questions may continue on the next column or...

A straight, horizontal rod slides along parallel
conducting rails at an angle with the horizon-
tal, as shown below. The rails are connected
at the bottom by a horizontal rail so that the
rod and rails forms a closed rectangular loop.
A uniform vertical field exists throughout the
region.
Assume: The rod remains in contact with
the rails as it slides down the rails. The
rod experiences no friction or air drag. The
rails and rod have negligible resistance. The
acceleration of gravity is 9.8 m/s/s. The length of the horizontal rod is 1.2 m. The angle in which the parallel conducting rails make with the ground is 24 degrees. The magnetic field is 0.35 Teslas. If the velocity of the rod is 2.6 m/s, what is
the current through the resistor?
brown (rb32829) – WebAssign#5 – lu – (11294) 1 This print-out should have 26 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. (Magnetism and Alternating Currents) 001 10.0 points A proton moving at 6 × 10 6 m / s through a magnetic feld oF 0 . 85 T experiences a mag- netic Force oF magnitude 2 . 5 × 10 13 N. The charge oF proton is 1 . 60218 × 10 19 C and the mass oF proton is 1 . 67262 × 10 27 kg. What is the angle between the proton’s velocity and the feld? Answer in units oF . 002 (part 1 of 2) 10.0 points A proton travels with a speed oF 3 . 8 × 10 6 m / s at an angle 43 with a magnetic feld oF 0 . 61 T pointed in the + y direction. The mass oF the proton is 1 . 672 × 10 27 kg. What is the magnitude oF the magnetic Force on the proton? Answer in units oF N. 003 (part 2 of 2) 10.0 points What is the proton’s acceleration? Answer in units oF m / s 2 . 004 10.0 points A segment oF wire carries a current oF 12 A along the x axis From x = - 6 m to x = 0 and then along the z axis From z = 0 to z = 4 . 9 m. In this region oF space, the magnetic feld is equal to 93 mT in the positive z direction. What is the magnitude oF the Force on this segment oF wire? Answer in units oF N. 005 10.0 points A conductor suspended by two ±exible wires as in the fgure has a mass per unit length oF 0 . 62 kg / m. The acceleration oF gravity is 9 . 8 m / s 2 . B in What current must exist in the conductor in order For the tension in the supporting wires to be zero when the magnetic feld is 5 . 1 T into the page? Answer in units oF A. 006 10.0 points A metal rod having a mass per unit length oF 0 . 0771 kg / m carries a current oF 8 . 7 A . The rod hangs From two wires (in the same plane as the rod) in a uniForm vertical magnetic feld as in the fgure. The acceleration oF gravity is 9 . 8 m / s 2 . B 3 m 8 . 7 A 4 mm b v θ 9 . 8 m / s 2 B IF the wires make an angle oF 37 with the vertical when in equilibrium ( v = 0 m / s), determine the strength oF the magnetic feld. Answer in units oF T. 007 10.0 points A rectangular loop consists oF 237 closely wrapped turns oF wire and has dimensions 0 . 41 m by 0 . 24 m. The loop is hinged along the y -axis, and its plane makes an angle oF 62 with the x -axis. A uniForm magnetic feld oF 0 . 39 T is di- rected along the x -axis and the current in the loop is 2 . 6 A in the direction shown.
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brown (rb32829) – WebAssign#5 – lu – (11294) 2 x y z 62 B = 0 . 39 T B = 0 . 39 T 0 . 41 m 0 . 24 m i = 2 . 6 A What is the magnitude of the torque ex- erted about the hinge on the loop? Answer in units of N · m. 008 (part 1 of 2) 10.0 points In an experiment designed to measure the strength of a uniform magnetic Feld produced by a set of coils, electrons are accelerated from rest through a potential di±erence of 204 V. The resulting electron beam travels in a circle with a radius of 7 . 21 cm. The charge on an electron is 1 . 60218 × 10 19 C and its mass is 9 . 10939 × 10 31 kg. Assuming the magnetic Feld is perpendic- ular to the beam, Fnd the magnitude of the magnetic Feld. Answer in units of T. 009 (part 2 of 2) 10.0 points What is the angular velocity of the electrons? Answer in units of rad / s. 010 10.0 points A long cylindrical shell has a uniform current density. The total current ²owing through the shell is 11 mA. The permeability of free space is 1 . 25664 × 10 6 T · m / A . 11 km 6 cm 2 cm b The current is 11 mA . ³ind the magnitude of the magnetic Feld at a point r 1 = 3 . 6 cm from the cylindrical axis. Answer in units of nT. 011 10.0 points A total current of 85 mA ²ows through an inFnitely long cylinderical conductor of radius 3 cm which has an inFnitely long cylindrical hole through it of diameter r centered at r 2 along the x -axis as shown. x y What is the magnitude of the magnetic Feld at a distance of 12 cm along the positive x - axis? The permeability of free space is 4 π × 10 7 T · m / A . Assume the current density is constant throughout the conductor. Answer in units of T. 012 10.0 points In 1962, measurements of the magnetic Feld of a large tornado were made at the Geophysical Observatory in Tulsa, Oklahoma. The permeability of free space is 1 . 25664 × 10 6 T · m / A. If the tornado’s Feld were 2 . 85 × 10 8 T pointing north when the tornado was 8 . 4 km east of the observatory, what current was car- ried up or down the funnel of the tornado? Model the vortex as a long straight wire car-
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