x x x x_x x B. 'in 2. The conducting bar illustrated in the figure moves on two frictionless, parallel rails in the presence of a uniform magnetic field directed into the page. The bar has mass m and its length is e. The bar is given an initial velocity vi to the right and is released at t=0.Find the speed of the bar as a function of time after it is released. x x x x x x R x x x x x x x

x x x x_x x B. 'in 2. The conducting bar illustrated in the figure moves on two frictionless, parallel rails in the presence of a uniform magnetic field directed into the page. The bar has mass m and its length is e. The bar is given an initial velocity vi to the right and is released at t=0.Find the speed of the bar as a function of time after it is released. x x x x x x R x x x x x x x

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 30P: Two long, straight wires are parallel and 25 cm apart. (a) If each wire carries a current of 50 A in...

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(a) A 200Turn circular loop of radius 50.0 cm is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. The Earth’s field here is due norm, parallel to me ground, with a strength of 3.00105T. What are 1he direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?
(a) What is the force per meter on a lightning bolt at the equator that carries 20,000 A perpendicular to the Earth's 3.00105-T field? (b) What is the direction of the force it the current is straight up and the Earth’s field direction is due north, parallel to the ground?
A 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a terminal velocity of 2.0 m's. (a) What is the net map,-, eh: force on the sheet after it reaches terminal velocity? (b) Describe the mechanism responsible for this force, (c) How much power is dissipated as Joule heating while the sheet moves at terminal velocity?
Two long, straight wires are parallel and 25 cm apart. (a) If each wire carries a current of 50 A in the same direction, what is the magnetic force per meter exerted on each wire? (b) Does tire force pull the wires together or push them apart? (c) What happens if the currents flow in opposite directions?
Electromagnetic braking can be achieved by applying a strong magnetic field to a pinning metal disk attached to a shaft. (a) How can a magnetic field slow the spinning of a disk? (b) Would the brakes work if the disk was made of plastic instead of metal?
A magnetic field can force a charged particle to move in a circular path. Suppose that an electron moving in a circle experiences a radial acceleration of magnitude 3.0 × 1014 m/s2 in a particular magnetic field. (a) What is the speed of the electron if the radius of its circular path is 0.14 m? (b) What is the period of the motion?
A particle with mass 3×10−2 kgkg and charge +7 μCμC enters a region of space where there is a magnetic field of 1 TT that is perpendicular to the velocity of the particle. When the particle encounters the magnetic field, it experiences an acceleration of 17 m/s2m/s2 . What is the speed of the particle when it enters the magnetic-field region? Express your answer in meters per second.
A science fiction author describes a space vehicle launching system consisting of a long linear track built at an angle into a mountain range on the moon. The space vehicle is mounted on a cradle that is accelerated by a magnetic field generated by the track at a constant 100. m/s². a. How fast is the vehicle going after it has traveled the 2.88 X 10^4 m track? b. How long does it take to reach this speed?
A proton is moving at 18,000 m/s due south, at 30° above the horizontal, when it enters a 2.80 T magnetic field directed north. a) What is the force on the proton at the instant it enters the magnetic field? ___________________________________ b) What is the acceleration of the proton at the instant it enters the magnetic field? ___________________________________ c) Will the particle’s trajectory be linear, circular, or helical? _______________________ d) Find the radius of the trajectory. If the motion is linear, write n/a. _
Consider a long, horizontal Large Wire with current of 10 A running through it. We want to levitate a horizontal, thin, 0.50 m length of wire above it. If the thin wire has a mass of 10 grams, and a current of 300 mA, how far above the Large Wire will it hover (net force of zero) due to magnetic and gravitational forces? A. If the thin wire hovers above the Large Wire due to their magnetic fields, are their currents going the same direction, or opposite directions. Explain. B. Draw a diagram and label the directions of currents, and all other relevant quantities and vectors. C. Find the distance above the Large Wire the small thin wire will hover (net force of zero). D. Would your answers to parts A and C change if we wanted to find a distance below (rather than above) the Large Wire that the smaller thin wire could hover, due to their magnetic fields. Explain. Don't calculate any values but draw a new diagram and explain how this situation compares to the problem above.
The solar wind is a thin, hot gas given off by the sun. Charged particles in this gas enter the magnetic field of the earth and can experience a magnetic force. Suppose a charged particle traveling with a speed of 8.71 x 106 m/s encounters the earth's magnetic field at an altitude where the field has a magnitude of 1.94 x 10-7 T. Assuming that the particle's velocity is perpendicular to the magnetic field, find the radius of the circular path on which the particle would move if it were (a) an electron and (b) a proton.
A proton moves with speed of 105 m/s through Earth’s magnetic field, which has a value of 55 x10‐6T at a particular location. When the proton moves eastward, the magnetic force acting on it is directed straight upward. a) What is the magnitude of the magnetic force? b) What is the electric force acting on the proton if it is placed in an electric field with a magnitude of 15 N/C? c) What is the resultant force applied to the proton if the electric force is applied downward?