Problem 5 A vertical, rectangular loop fall out of a region where the magnetic field is uniform, into a region with no field. The loop has resistance R, mass m, horizontal sides of width w, and vertical sides height H. It is released from rest (vo = 0.) The magnetic field in the upper region is horizontal and has magnitude B (a) Find the current I in the loop when it attains a speed v (in terms of the given parameters.) (b) Find the net force on the loop when it has speed v, assuming the bottom of the loop is in the lower, B 0, region but the top is still in the upper, B /0 region, again in terms of the given parameters (c) The loop will eventually reach a terminal velocity, a constant speed. Explain why this is true, and find an expression for that terminal velocity (d) How should the terminal velocity depend on the mass of the loop, the resistance of the loop, and the magnetic field strength? (e) What is the terminal velocity of a loop of copper wire, 0.50 m wide, 0.0010 kg mass, resistance of 0.0032, falling out of a 0.00005 T field (the approximate field of the earth)? You might notice that you get a really large terminal velocity! We should have expected that; why?

Problem 5 A vertical, rectangular loop fall out of a region where the magnetic field is uniform, into a region with no field. The loop has resistance R, mass m, horizontal sides of width w, and vertical sides height H. It is released from rest (vo = 0.) The magnetic field in the upper region is horizontal and has magnitude B (a) Find the current I in the loop when it attains a speed v (in terms of the given parameters.) (b) Find the net force on the loop when it has speed v, assuming the bottom of the loop is in the lower, B 0, region but the top is still in the upper, B /0 region, again in terms of the given parameters (c) The loop will eventually reach a terminal velocity, a constant speed. Explain why this is true, and find an expression for that terminal velocity (d) How should the terminal velocity depend on the mass of the loop, the resistance of the loop, and the magnetic field strength? (e) What is the terminal velocity of a loop of copper wire, 0.50 m wide, 0.0010 kg mass, resistance of 0.0032, falling out of a 0.00005 T field (the approximate field of the earth)? You might notice that you get a really large terminal velocity! We should have expected that; why?

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

Related questions

Q: Suppose instead the rod rotates at 8.20 rad/s about an axis through its center and perpendicular to…

A: To find the potential difference between the ends of the rod when it rotates about an axis through…

Q: An ion with a mass m and a magnitude of charge of 1e is initially at rest when it is accelerated by…

A: Lorentz Force: The Lorentz force is a fundamental concept in electromagnetism that describes the…

Q: Consider the torque on a loop of current in a magnetic field. a) At what angle θ (in degrees…

Q: In Figure (a), a uniform magnetic field B increases in magnitude with time t as given by Figure (b),…

Q: Protons having a kinetic energy of 3.10 MeV are moving in the positive x-direction and enter a…

Q: Starting from the magnetic field at a distance h about the axis of a circular loop of radius R…

A: we have to find magnetic field at a distance h about the axis of a circular loop of radious R in…

Q: A square loop of wire with side L has a constant current I flowing clockwise. A magnetic field in…

A: Given : A square loop of wire with side L and a constant current I flowing clockwise. A magnetic…

Q: A solenoid of 69 turns and area 20 cm2 has its ends connected together though a resistance of 5…

A: Given value--- No. of turns = 69. Area = 20 cm2. Resistance = 5 Ohm. Magnetic field = 3 × 10-2 T.…

Q: G The figure shows a metallic block, with its faces parallel to coordinate axes. The block is in a…

A: The answer to the problem is given below

Q: the

Q: Two long straight current-carrying wires are lined up parallel to one another in vacuum at a…

Q: ion with a mass m and a magnitude of charge of 1e is initially at rest when it is accelerated by a…

Q: A circular coil of wire with dipole moment 7 is placed in a uniform magnetic field so that the field…

A: We have to find the magnitude of change in energy of current coil in magnetic field B when direction…

Q: Problem 1: A 2.5 m segment of wire supplying current to the motor of a submerged submarine carries…

Q: solenoid of 35 turns and area 20 cm2 has its ends connected together though a resistance of 5 Ohms.…

A: Given number of turns N = 35 area A = 20 cm2 = 20 × 10-4 m2 resistance R = 5 ohm magnetic flux…

Q: A circular metallic disc is placed with its plane perpendicular to a uniform magnetic field of flux…

A: The speed of a point on the disc (of radius R)at a distance x, from the center is v=ωx, Then…

Q: Two long straight current-carrying wires are lined up parallel to one another in vacuum at a…

Q: A long straight wire has a radius R, and a current of 3.0 A is uniformly-distributed throughout its…

Q: Three long, parallel conductors each carry a current of I = 2.02 A. The figure below is an end view…

A: value found…

Q: Problem 6: A 200 turn circular loop of radius 45 cm is lying flat on the ground with a current of 95…

A: Magnitude of torque=BIAN sin θ B=5.95*10-5TA=πR2=π*0.45m2=0.636m2N=200 turnθ=45°I=95A

Q: A long cylindrical wire has radius R and carries current I. In this problem, we'll find the energy…

A: Let the current (I) flowing through the wire of the radius (R) constitute a uniform volume current…

Q: An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.300 T. If the…

Q: Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude b =…

A: Given data- Uniform magnetic field B=b= 1.11 mT An electron originally traveling perpendicular to…

Q: Three long, parallel conductors each carry a current of I = 2.02 A. The figure below is an end view…

A: Given: I= 2.02 A a= 0.75 cm

Question

Problem 5
A vertical, rectangular loop fall out of a region where the magnetic field is uniform, into a region
with no field. The loop has resistance R, mass m, horizontal sides of width w, and vertical sides
height H. It is released from rest (vo = 0.) The magnetic field in the upper region is horizontal and
has magnitude B
(a) Find the current I in the loop when it attains a speed v (in terms of the given parameters.)
(b) Find the net force on the loop when it has speed v, assuming the bottom of the loop is in the
lower, B 0, region but the top is still in the upper, B /0 region, again in terms of the given
parameters
(c) The loop will eventually reach a terminal velocity, a constant speed. Explain why this is true,
and find an expression for that terminal velocity
(d) How should the terminal velocity depend on the mass of the loop, the resistance of the loop,
and the magnetic field strength?
(e) What is the terminal velocity of a loop of copper wire, 0.50 m wide, 0.0010 kg mass, resistance
of 0.0032, falling out of a 0.00005 T field (the approximate field of the earth)? You might notice
that you get a really large terminal velocity! We should have expected that; why?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Trending now

This is a popular solution!

Step by step

Solved in 9 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

An ion with a mass m and a magnitude of charge of 1e is initially at rest when it is accelerated by a potential difference of magnitude AV. After exiting the accelerating potential, it enters a region with a uniform magnetic field perpendicular to the ion's velocity. The ion moves in a semicircle of radius R. Next, an ion with a mass m' and a magnitude of charge of 5e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R' = 2R. Find the ratio of the ion masses, m'/m. m'/m =
A piece of copper wire has a resistance per unit length of 4.63 × 10/m. The wire is wound into a thin, flat coil of many turns that has a radius of 0.208 m. The ends of the wire are connected to a 12.0-V battery. Find the magnetic field strength at the center of the coil. Number i Units >
An alpha particle (consisting of two protons and two neutrons), traveling at a speed of v = 1.4 x 105 m/s, enters a region of constant magnetic field of strength B = 1.8 T as shown in the figure. The direction of B is out of the image. The alpha follows a path that is a circular arc of radius r. Part (b) In units of elementary charge e, what is the electric charge q of an alpha particle? Part (c) In meters, what is the radius of curvature r of the path taken by the alpha particle?
A current of strength I=1a flows through the copper wire. The wire consists of two straight parts between points A(1,2,3)cm and B(1,3,2)cm and between points B and C(2,1,3)cm. The wire is located in a homogeneous magnetic field of induction B=1T. a) If the total force on the wire is 0, calculate the direction of the magnetic field. b) If we rotate the direction of the magnetic field so that the total force on the wire is the largest, calculate the maximum possible force on the wire.
A positively charged particle slides off a frictionless and smooth surface with initial X X X X X X X X speed v, =v, . It then enters into a region with X X X X X x x x X uniform magnetic field pointing into the page. X X X X x x x x X x x x x x X x x x The particle eventually hits the ground with final speed v, air time and range S · The particle slides off the edge again with identical initial speed, but this time without the magnetic field. The particle then hits the ground with final speed v,, air time t, , and range s,. Determine the relationships between v, and v,, t, and t, , as well as s, and s, (3 marks). Please note that no calculation is needed. You were to provide the relationship in the sense that whether one variable is greater than, smaller than, or equals to the other one (>, <, or =). Provide a rough explanation (3 marks).
Question 1: A) Dinesh studying rail guns has been suggested for launching projectiles into space without chemical rockets. A tabletop model rail gun (Figure 1.) consists of two long, parallel, horizontal rails, l= 6.80 cm apart, bridged by a bar of mass m= 8.00 g that is free to slide without friction. The rails and bar have low electric resistance, and the current is limited to a constant I = 42.0 A by a power supply that is far to the left of the figure, so it has no magnetic effect on the bar. Figure 1 shows the bar at rest at the midpoint of the rails at the moment the current is established. He wishes to find the speed with which the bar leaves the rails after being released from the midpoint of the rails (Hint: you need to draw the figure). (Mo = 4π × 10-¹T.) Jg x V₁ = = 0 m d Figure 1. (i) Find the magnitude of the magnetic field at a distance of 1.85 cm from a single long wire carrying a current of 2.40 A. (ii) For purposes of evaluating the magnetic field, model the rails as…
The Hall effect can be used to determine the density of mobile electrons in a conductor. A thin strip of the material being investigated is immersed in a magnetic field and oriented so that its surface is perpendicular to the field. In a particular measurement, the magnetic field strength was 0.735 T, the strip was 0.101 mm thick, the current along the strip was 2.95 A, and the Hall voltage between the strip's edges was 2.95 mV. Find the density n of mobile electrons in the material. The elementary charge is 1.602 x 10-19 C. 1.56 x104 n 3= -3 Incorrect
The uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of = 30° above the ry-plane. Find the radius r and the pitch p of the electron's spiral trajectory. z 4 V
rectilinear conductor with current 8 A and length 25 cm, is located in the homogeneous magnetic field and forms the alpha angle with the induction lines. The magnetic force acting on the conductor has the maximum value when the alpha angle is: a) narrow b) wide c) zero d) 90 °
A conductor is moving to left direction in a region where uniform magnetic field is directed ino the page. Which point of the conductor (a or b) is at higher potential?
A current of strength I=1A flows through the copper wire. The wire consists of two straight parts between points A(1,2,3)cm and B(1,3,2)cm and between points B and C(2,1,3)cm. The wire is located in a homogeneous magnetic field of induction B=1T. a) If the total force on the wire is 0, calculate the direction of the magnetic field. b) If we rotate the direction of the magnetic field so that the total force on the wire is the largest, calculate the maximum possible force on the wire.