A perfect conductor 2m long is moved at a speed of 36km/h through a magnetic field having a flux density of 1.0 T. Calculate the induced voltage If a 1Ω resistor is connected across the ends of the conductor, the current in the circuit, mechanical power required to move the conductor through the field, and electrical power generated.

A perfect conductor 2m long is moved at a speed of 36km/h through a magnetic field having a flux density of 1.0 T. Calculate the induced voltage If a 1Ω resistor is connected across the ends of the conductor, the current in the circuit, mechanical power required to move the conductor through the field, and electrical power generated.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter25: Electromagnetic Induction

Section: Chapter Questions

Problem 48A

See similar textbooks

Similar questions

The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
Suppose the parallel-plate capacitor shown below is accumulating charge at a rate of 0.010 C’s. What is the induced magnetic field at a distance of 10 cm from the capacitator?
A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially uniform magnetic field. During a 0.10-s time interval, the magnitude of the field Increases uniformly from 200 to 300 mT. (a) Determine the emf Induced in the ioop. (b) If the magnetic field is directed out of the page, what is the direction of the cun-ent induced in the loop?
A reasonably uniform magnetic field over a limited region of space can be produced with the Helmholtz coil, which consists of two parallel coils centered on the same axis. The coils are connected so that they carry the same current I. Each coil has N turns and radius R, which is also the distance between the coils, (a) Find tire magnetic field at any point on the z-axis shown in the accompanying figure, (b) Show that dB/dz and d2Bdz2 are both zero at z = 0. (These vanishing derivatives demonstrate that the magnetic field varies only slightly near z = 0.)
Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and the distance between the centers of the wires is d, Show that if the magnetic flux within the wires themselves can be ignored, the self-inductance of a length 1 of such a pair of wires is L 0 l in d1 a (Hint Calculate the magnetic flux through a rectangle of length 1 between the wires and then use L=N/I
Is Ampere’s law valid for all closed paths? Why isn’t it normally useful for calculating a magnetic field?
A circular loop of wire of radius 10 cm. is mounted on a vertical shaft and rotated at a frequency of 5 cycles per second in a region of uniform magnetic field of 2104T perpendicular to the arcs of rotation, (a) Find an Expression for the time-dependent flux through the ring (b) Determine die time-dependent current through the ring if it has a resistance of 10.
The magnetic flux through the loop shown in the accompanying figure varies with time according to m=2.00e3tsin(120t) , where m is in milliwebers. What are the direction and magnitude of the current through the 5.00 resistor at (a) t= 0; (b) t=2.17102 s and (c)t=3.00 s?
Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown and is changing withtime. Identity those paths for which =EdI0 .
The normal to tt plane of a single-turn conducting loop is directed at an angle to a spatially uniform magnetic field B. It has a fixed area and orientation relative to the magnetic fleck Show that the emf induced In the loop is given by i = (dB/dt)(Acos),where A is the area of the loop.
Check Your Understanding Shown below is a rod of length l that is rotated counterclockwise around the axis through O by the torque due to mg . Assuming that the rod is in a uniform magnetic field B , what is the emf induced between the ends of the rod when its angular velocity is ? Which end of the rod is at a higher potential?
A metal bar of mass 500 g slides outward at a constant speed of 1.5 cm/s over two parallel rails separated by a distance of 30 cm which are pail of a U-shaped conductor. There is a uniform magnetic field of magnitude 2 T pointing out of the page over the entire area. The railing and metal bar have an equivalent resistance of 150 . (a) Determine the induced current, both magnitude and direction, (b) Find the direction of tire induced current if the magnetic field is pointing into the page, (c) Find the direction of the induced current if the magnetic field is pointed into the page and the bar moves inwards.