**Electromagnetic Induction in a Shrinking Loop of Wire**A time-varying magnetic field has magnitude \( B(t) = B_0 \cos(\omega t) \), where \( B_0 \) and \( \omega \) are constants, and points parallel to the plane of a loop of wire. At the same time, the loop is shrinking and its radius is given by \( r(t) = R_0 e^{-t/\tau} \), such that \( R_0 \) and \( \tau \) are constants. What is true about the induced current in the wire?**Options:**1. The current flows clockwise.2. The current flows counterclockwise.3. There is no induced current in the wire. *(Selected)*4. The current switches between flowing clockwise and counterclockwise.

Since magnetic field is parallel to the plane of loop, angle between magnetic field vector and area…

A time-varying magnetic field has magnitude B(t)= Bo cos(wt), where Bo and w are constants, and points parallel to the plane of a loop of wire. At the same time, the loop is shrinking and its radius is given by r(t) = Roe-t/, such that Ro and T are constants. What is true about the induced current in the wire? O The current flows clockwise. O The current flows counterclockwise. There is no induced current in the wire. O The current switches between flowing clockwise and counterclockwise.

A time-varying magnetic field has magnitude B(t)= Bo cos(wt), where Bo and w are constants, and points parallel to the plane of a loop of wire. At the same time, the loop is shrinking and its radius is given by r(t) = Roe-t/, such that Ro and T are constants. What is true about the induced current in the wire? O The current flows clockwise. O The current flows counterclockwise. There is no induced current in the wire. O The current switches between flowing clockwise and counterclockwise.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

As a diligent physics student, you carry out physics experiments at every opportunity. At this opportunity, you carry a 1.15 m long rod as you jog at 3.17 m/s, holding the rod perpendicular to your direction of motion. What is the magnitude B of the magnetic field that is perpendicular to both the rod and your direction of motion and that induces an EMF of 0.287 mV across the rod? Express the answer in milliteslas. B = mT
Q.02 A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy - plane, is placed in a region of uniform magnetic field. The field of 1.5 T is directed along the +z direction, which is upward. If the loop is suddenly removed from the field region in a time interval of 2.0 ms, determine the average emf that will be induced in the wire loop during the extraction process. Hint: let +z be the positive direction for A.
y Here, a long solenoid of 20000 turns/meter and r=2 cm is oriented along the z-axis (outer circle). There is a small coil of 10 loops of wire of radius 1 cm concentric with the solenoid and lying in the x-y plane (inner circle). An alternating current of magnitude 10 A switches direction every 0.001 seconds in the solenoid. What is the magnitude of the EMF generated in the small loop, in Volts? Answer:
The component of the external magnetic field along the central axis of a 78 turn circular coil of radius 32.0 cm decreases from 2.40 T to 0.100 T in 2.00 s. If the resistance of the coil is R=3.00 Ω, what is the magnitude of the induced current in the coil? magnitude: A What is the direction of the current if the axial component of the field points away from the viewer?
The component of the external magnetic field along the central axis of a 33 turn circular coil of radius 27.0 cm decreases from 1.90 T to 0.400 T in 2.90 s. If the resistance of the coil is R = 6.00 52, what is the magnitude of the induced current in the coil? magnitude: What is the direction of the current if the axial component of the field points away from the viewer? counter-clockwise O clockwise
Consider two thin wires of length w with a uniform current I as shown in figure below. Determine the magnetic flux density B(F) at the point P(w,w,0). Show the direction of the magnetic flux density at the given point. W I Z W P(w,w,0) y
Chapter 30, Problem 023SN The figure shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x>>R. Consequently, the magnetic field due to the counterclockwise current / in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = v. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find (b) an expression for the magnitude of the induced emf and (c) the direction of the induced current. R. (a) ? ENI (ь) 2 Edit (c)
As a diligent physics student, you carry out physics experiments at every opportunity. At this opportunity, you carry a 1.33 m long rod as you jog at 3.25 m/s, holding the rod perpendicular to your direction of motion. What is the magnitude B of the magnetic field that is perpendicular to both the rod and your direction of motion and that induces an EMF of 0.283 mV across the rod? Express the answer in milliteslas. B = mT
The plane of a flat, circular loop of wire is horizontal. An external magnetic field is directed perpendicular to the plane of the loop. The magnitude of the external magnetic field is increasing with time. Because of this increasing magnetic field, an induced current is flowing clockwise in the loop, as viewed from above. What is the direction of the magnetic field, assuming the situation is drawn on a sheet of paper? Tind O Left O Right O Into the page O Out of the page O Up the page O Down the page O Clockwise O Counterclockwise
The conducting loop of the shape shown in the figure is being pulled out of a constantBext magnetic field at a constant speed v. The left part of the loop KN is a semicircle ofradius a. The top and the bottom parts of the loop are equal, KL=NM=b. Theresistance per unit length of the conductor is r (Ω/m). During the time intervalbetween when line LM and then KN are at the border of the magnetic field,a) What is the direction ofthe induced current? Explainyour choice of direction.b) What is the EMFproduced in the loop?c) What is the size of theinduced current?
Problem 2. An a by b loop is pulled in the x- direction with the velocity v relative to a straight wire with a constant current I, see figure. Find the force that the wire produces on the loop. I b R пи ν 0 I ४ a x + a
Determine the current I flowing through a solenoid, if the magnetic flux inside its core is found to be 2.90 x 10-4 Wb. The radius of the solenoid is 25.0 cm and the number of turns per meter is 235. A