A 5.0-cm-radius conducting loop with a resistance of 4.0 A is in the presence of a uniform magnetic field of strength 300 µT that is perpendicular to the plane of the loop as shown in the diagram below. The strength of the magnetic field is then decreased to 120 pT in a time of 0.10 s while the direction of the magnetic field remains constant. What current is induced in the conducting loop and what is its direction? B; = 300 µT, Bf = 120 µTA Before: t; = 0.00 s After: tf = 0.15 s 4.0 Ω Resistor a. 3.5 µA right-to-left across the resistor O b.1.8 µA left-to-right across the resistor O.5.0 µA left-to-right across the resistor O d.5.0 µA right-to-left across the resistor O e. 3.5 µA left-to-right across the resistor

A 5.0-cm-radius conducting loop with a resistance of 4.0 A is in the presence of a uniform magnetic field of strength 300 µT that is perpendicular to the plane of the loop as shown in the diagram below. The strength of the magnetic field is then decreased to 120 pT in a time of 0.10 s while the direction of the magnetic field remains constant. What current is induced in the conducting loop and what is its direction? B; = 300 µT, Bf = 120 µTA Before: t; = 0.00 s After: tf = 0.15 s 4.0 Ω Resistor a. 3.5 µA right-to-left across the resistor O b.1.8 µA left-to-right across the resistor O.5.0 µA left-to-right across the resistor O d.5.0 µA right-to-left across the resistor O e. 3.5 µA left-to-right across the resistor

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

See similar textbooks

Similar questions

A square loop with side length L, mass M, and resistance R lies in the xy plane. A magnetic field B = B0(y/L) k is present in the region of the space near the loop. Determine the magnitude and direction of the induced current in the loop as the loop starts moving at velocity v = B0(y/L) j.
A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dBdtDR2D2 . ( Hint: To find the between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampere’s law for E”.)
A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?
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?
A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?
A coil of area 0.100 m2 is rotating at 60.0 rev/s with the axis of rotation perpendicular to a 0.200-T magnetic field. (a) If the coil has 1 000 turns, what is the maximum emf generated in it? (b) What is the orientation of the coil with respect to the magnetic field when the maximum induced voltage occurs?
A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?
Figure P32.21 shows a circular conducting loop with a 5.00-cm radius and a total resistance of 1.30 placed within a uniform magnetic field pointing into the page. a. What is the rate at which the magnetic field is changing if a counterclockwise current I = 4.60 102 A is induced in the loop? b. Is the induced current caused by an increase or a decrease in the magnetic field with time?
Two frictionless conducting rails separated by l = 55.0 cm are connected through a 2.00- resistor, and the circuit is completed by a bar that is free to slide on the rails (Fig. P32.71). A uniform magnetic field of 5.00 T directed out of the page permeates the region, a. What is the magnitude of the force Fp that must be applied so that the bar moves with a constant speed of 1.25 m/s to the right? b. What is the rate at which energy is dissipated through the 2.00- resistor in the circuit?
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.
A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6
Suppose a uniform magnetic field is perpendicular to the 81211-in. page of your homework and a rectangular metal loop lies on the page. The loops sides line up with the edges of the page. The magnetic field is changing with time as described by B = 3.75 103 t, where B is in teslas and t is in seconds. a. Is the magnetic field increasing or decreasing? b. Find the magnitude of the emf induced in the loop.