You plan to move a rectangular loop of wire (consider only the loop at left) into a region of uniform magnetic field B at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines as shown. In which orientation should you hold the loop while you move it into the region of B to generate the largest emf? with the longer dimension of the loop parallel to the velocity vector either the longer or shorter dimension may be placed parallel to v as the emf is the same regardless of orientationIn fact the induced emf has no correlation with loop dimensions.with the shorter dimension of the loop parallel to the velocity vector

Answered: Image /qna-images/answer/0cb04b09-519d-4cd4-b14d-bd41952a1624.jpg

You plan to move a rectangular loop of wire (consider only the loop at left) into a region of uniform magnetic field B at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines as shown. In which orientation should you hold the loop while you move it into the region of B to generate the largest emf?

You plan to move a rectangular loop of wire (consider only the loop at left) into a region of uniform magnetic field B at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines as shown. In which orientation should you hold the loop while you move it into the region of B to generate the largest emf?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section23.2: Motional Emf

Problem 23.3QQ: You wish to move a rectangular loop of wire into a region of uniform magnetic field at a given speed...

See similar textbooks

Similar questions

Consider a solenoid that is very long compared with its radius. Of the following choices, what is the most effective way to increase the magnetic field in the interior of the solenoid? (a) double its length, keeping the number of turns per unit length constant (b) reduce its radius by half, keeping the number of turns per unit length constant (c) overwrap the entire solenoid with an additional layer of current-carrying wire
A long, rectangular loop of width w, mass m, and resistance R is at rest, with the plane of the loop parallel to the ground. Immediately to the left of the loop is a region of uniform magnetic field B→ that points out of the screen. At time t=0, a constant force F→ pushes the loop to the left, into the magnetic field region, as shown in the figure. Derive an expression for the speed v of the loop immediately after it enters the magnetic field region in terms of the given variables and the time t.
A rod of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in figure. The rails are separated by a distance d. A battery that maintains a constant emf ε is connected between the rails, and a constant magnetic field B is directed out of the page. Assuming the rod starts from rest at time t = 0, find its velocity in terms of time t, ε, B, d, m, and R.
A circular loop of wire of radius r = 1.0 m is placed in a region where an external uniform magnetic field is perpendicular to the plane of the loop. The external magnetic field vector points in, perpendicular to the page. During the course of 0.150 seconds, the field magnitude B is DECREASED uniformly (i.e., linearly in time) from 0.64 T to 0.25 T. (a) What is the direction of the induced current i in the loop, clockwise or counterclockwise. Please indicate this direction by drawing a curved arrow at the wire. What is the direction of the induced magnetic field, in or out? (b) What is the magnitude ε of the average induced electromotive force (emf)? (c) If the resistance of the wire is 2.00 ohms, then what is the magnitude of the induced current? How much heat is created in a period of 1.0 minute?
A homogeneous field of magnetic induction B is perpendicular to a track of gauge ℓ which is inclined at an angle α to the horizontal. A frictionless conducting rod of mass m straddles the two rails of the track as shown in the figure.a) If the circuit formed by the rod and the track is closed by a resistor of resistance R, after a while the rod slides with constant speed v down the track. Find this velocity v.b) If the resistor is replaced by a capacitor of capacitance C, the rod moves with constant acceleration a when it is released from rest. Find the acceleration a.
A circular loop having a radius of R and having a current of current I was put in a uniform magnetic field with a strength of B and it is also pointing out of the page. An angle of 30° was made by the loop with respect to the positive x axis in such a way that the loop’s right hemisphere is above the xy-plane, whereas the left hemisphere is below. This is illustrated in the figure attached. From the choices, determine the loop’s potential energy and the magnitude of the torque it experiences.
The distance between two straight, infinitely long, thin, parallel to each other conductors is ? = 10 [cm]. These lines are arranged perpendicular to the XY plane, as shown in the figure. A current of I = 20 [A] flows through each of the wires in the same direction, deeper into the drawing.B) Using the superposition principle, determine the components of the magnetic field induction vector B = (BX, BY, BZ) in the Cartesian system shown in the figure, at point A lying in the plane of the figure and distant from each wire by d = 10 [cm].
Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.
A horizontal wire is free to slide on the vertical rails of a conducting frame, as in the figure. The wire has a mass (m) and length (l), and the resistance of the circuit is R. a) If a uniform magnetic field is directed perpendicularly to the frame, out of the paper, what is the the terminal (final) speed of the wire as it falls under the force of gravity? (Neglect friction) b) Is the current in the wire from A to B or B to A? [Explain your answer]
If the U-shaped conductor in the figure has resistivity ρ, whereas that of the moving rod is negligible, derive a formula for the current I as a function of time. Assume the rod starts at the bottom of the U at t=0 and moves with uniform speed v in the magnetic field B. The cross-sectional area of the rod and all parts of the U is A.
Suppose a rectangular wire loop of side s lying along the yz plane is immersed in a uniform external magnetic field B = 3 i - j ( where i, j are unit vectors). If a counter-clockwise current I is flowing through the wire loop, what is the torque acting through the loop (state direction as well)? Assume that all quantities are given in terms of their respective SI units (e.g, s is in meters, B is in Tesla, etc).
In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fapp = 1.20 N.The friction between the bar and rails is negligible. The resistance R = 8.00 Ω,the bar is moving at a constant speed of 1.75 m/s, the distance between the rails is ℓ, and a uniform magnetic field B is directed into the page. Two parallel horizontal rails are vertically aligned and connected on their left ends by a wire. A resistor R is in the middle of the wire. The rails are separated by a distance ℓ. A bar lies vertically across the middle of the rails, to the right of the wire. An arrow labeled Fapp extends from the middle of the bar to the right. (a) What is the current through the resistor (in A)? (b) If the magnitude of the magnetic field is 2.60 T, what is the length ℓ (in m)? (c) What is the rate at which energy is delivered to the resistor (in W)? (d) What is the mechanical power…