A long straight (line) conductor carries a current i that increases at a rate di/dt. Below this current-carrying conductor is a rectangular conductor as shown in the figure below. Given that a/b = 4 and assuming that the dimensions of the rectangular conductor are small enough to experience an almost instantaneous change in the magnetic field due to the current change in the long current-carrying conductor above it, what is the magnitude of the induced emf in the rectangular conductor? 1 µoL di (A) 42 4 dt (3) (1+) (C) (1+) HoL di In (1+ 2 dt HoL di 47 dt HoL di (D) In (1+4) 27 dt (E) 4²H0L di 4x dt

A long straight (line) conductor carries a current i that increases at a rate di/dt. Below this current-carrying conductor is a rectangular conductor as shown in the figure below. Given that a/b = 4 and assuming that the dimensions of the rectangular conductor are small enough to experience an almost instantaneous change in the magnetic field due to the current change in the long current-carrying conductor above it, what is the magnitude of the induced emf in the rectangular conductor? 1 µoL di (A) 42 4 dt (3) (1+) (C) (1+) HoL di In (1+ 2 dt HoL di 47 dt HoL di (D) In (1+4) 27 dt (E) 4²H0L di 4x dt

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 33P: A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially...

See similar textbooks

Similar questions

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?
In the circuit sho in the accompanying figure, the rtd slides along the conducting rails at a constant VelOCity v. The velocity is in the same plane as the rails and directed at an angle 6 to them. A uniform magnetic field Bis directed out of the page. What is the emf induced in the r?
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?
The accompanying figure shows a metal disk of inner radius r1 and other radius r2 rotating at an angular velocity while in a uniform magnetic field directed parallel to the rotational axis. The brush leads of voltmeter are connected to the dark's inner and outer surfaces as shown. What is the reading of the voltmeter ?
Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .
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
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?
The square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.
Suppose the magnetic field of the preceding problem oscillates with time according to B=B0sint . What then isthe emf Induced in the loop when its trailing side Is a distance d from the right edge of the magnetic field region?
Use Lenz’s law to determine tl direction of induced current in each case.