Problem 5A vertical, rectangular loop fall out of a region where the magnetic field is uniform, into a regionwith no field. The loop has resistance R, mass m, horizontal sides of width w, and vertical sidesheight H. It is released from rest (vo = 0.) The magnetic field in the upper region is horizontal andhas 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 thelower, B 0, region but the top is still in the upper, B /0 region, again in terms of the givenparameters(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, resistanceof 0.0032, falling out of a 0.00005 T field (the approximate field of the earth)? You might noticethat you get a really large terminal velocity! We should have expected that; why?

Question
Asked Nov 20, 2019
36 views

Could you answer only D and E for me, thank you.

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?
help_outline

Image Transcriptionclose

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?

fullscreen
check_circle

Expert Answer

Step 1

Given:

Resistance of the loop = R

Mass of the loop = m

Horizontal length(Width) of the loop = w

Vertical length(length) of the loop = H

Initial velocity of the loop = 0 m/s

Magnetic field = B

Step 2

Calculating the terminal velocity of the loop:

Terminal velocity is the velocity when force of weight of loop becomes equal to the force on the loop by magnetic field due to induced current in the loop.So, when the net force on the loop becomes zero, the loop falls with a constant velocity, known as terminal velocity.

help_outline

Image Transcriptionclose

Bwv Induced current in the loop, I = R Bwv Force on the loop by magnetic field due to this current, F BIw Bx R (As the field is perpendicular to the loop) в'w'v. So, F R Let the terminal velocity be vr, at terminal velocity net force on the loop must be zero. в'w'v. mg Hence, F mgR ....(1) в'w OR vT

fullscreen
Step 3

Determining how the terminal velocity depends on mas...

help_outline

Image Transcriptionclose

mgR From the equation 1, vr- We can see that the terminal velocity is dorectly proportional to the mass and resistance of the loop and indirectly proportional to the square of the magnetic field. Or vT om(Mass vT R(Resis tan ce) (magnetic field)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A conducting bar of length ℓ moves to the right on two frictionless rails as shown in the figure bel...

A: a)The required speed is,

question_answer

Q: The see-saws below have boxes placed on them that all weigh the same amount. The tick marks are even...

A: (A)  The below figure represents a see saw having boxes on top of them .

question_answer

Q: A projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high ...

A: Given:Horizontal landing distance = 195 mVertical landing distance = 135 mTime taken by the projecti...

question_answer

Q: Suppose the initial speed of the block is 1.17m/s, but its mass can be varied. What mass is required...

A: According to the conservation of energy, to find the required mass needed for the compression of the...

question_answer

Q: A proton starting from rest travels through a potential of 1.0 kV and then moves into a uniform 0.04...

A: The kinetic energy of the proton is

question_answer

Q: Consider a black body of surface area 20.0 cm2 and temperature 5 000 K. (a) How much power does it r...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

question_answer

Q: A fisherman is fishing with a pole that makes an angle of 20.0° above the horizontal. The distance f...

A: Torque is the product of the force and its perpendicular distance.

question_answer

Q: How much heat is needed to completely vaporize 20 grams of ice, initially at 5°F?

A: Convert Fahrenheit to Celsius degree.

question_answer

Q: Each of the parts in this problem has a description of an object and an optical device (a lens or a ...

A: A.Image is realImage on the same side as the objectObserver should stand on same side