Yo „B. 2w 3w 4w Sw A rectangular conducting loop of width w, height h, and resistance R is mounted vertically on a non-conducting cart as shown above. The cart is placed on the inclined portion of a track and released from rest at position P, at a height y, above the horizontal portion of the track. It rolls with negligible friction down the incline and through a uniform magnetic field B in the region above the horizontal portion of the track. The conducting loop is in the plane of the page, and the magnetic field is directed out of the page. The loop passes completely through the field with a negligible change in speed. Express your answers in terms of the given quantities and fundamental constants. a) Show all work (starting with equations from the equation sheet) to determine the speed of the cart when it reaches the horizontal portion of the track. b) Determine the following for the time at which the cart is at position P,, with one-third of the loop in the magnetic field. i. The magnitude of the emf induced in the conducting loop ii. The magnitude of the current induced in the conducting loop c) i. Using the axes below as a guide to draw on your own paper, sketch a graph of the magnitude of the magnetic flux D through the loop as a function of the horizontal distance x traveled by the cart, letting x = 0 be the position at which the front edge of the loop just enters the field. Label appropriate values on the vertical axis. i. Using the axes below as a guide to draw on your own paper, sketch a graph of the current induced in the loop as a function of the horizontal distance x traveled by the cart, letting x = 0 be the position at which the front edge of the loop just enters the field. Let counterclockwise current be positive and label appropriate values on the vertical axis. Counterclockwise Current 13w !4w 2w 3w 4w 5w Clockwise Current

icon
Related questions
Question

How do you do this question?

FRQ #1
3w
4w
Sw
A rectangular conducting loop of width w, height h, and resistance R is mounted vertically on a non-conducting cart as shown
above. The cart is placed on the inclined portion of a track and released from rest at position P, at a height y, above the horizontal
portion of the track. It rolls with negligible friction down the incline and through a uniform magnetic field B in the region above
the horizontal portion of the track. The conducting loop is in the plane of the page, and the magnetic field is directed out of the
page. The loop passes completely through the field with a negligible change in speed. Express your answers in terms of the given
quantities and fundamental constants.
a) Show all work (starting with equations from the equation sheet) to determine the speed of the cart when it reaches the
horizontal portion of the track.
b) Determine the following for the time at which the cart is at position P,, with one-third of the loop in the magnetic field.
i. The magnitude of the emf induced in the conducting loop
ii. The magnitude of the current induced in the conducting loop
i. Using the axes below as a guide to draw on your own paper, sketch a graph of the magnitude of the magnetic flux O
through the loop as a function of the horizontal distance x traveled by the cart, letting x = 0 be the position at which the
front edge of the loop just enters the field. Label appropriate values on the vertical axis.
i. Using the axes below as a guide to draw on your own paper, sketch a graph of the current induced in the loop as a
function of the horizontal distance x traveled by the cart, letting x = 0 be the position at which the front edge of the loop
just enters the field. Let counterclockwise current be positive and label appropriate values on the vertical axis.
Counterclockwise
Current
2w
3w
14w
5w
2w
3w
4w
5w
Clockwise
Current
d) In a coherent, paragraph length response, compare the magnitude and direction of the current when the front of the cart is
just past x = 0 (as shown in the diagram), when the front of the cart is at x = 2w, and when the front of the cart is just past
x = 3w. Include an explanation of why there is or is not a current and the direction of the current if one is present. Use
fundamental physics concepts and principles in your explanation.
Transcribed Image Text:FRQ #1 3w 4w Sw A rectangular conducting loop of width w, height h, and resistance R is mounted vertically on a non-conducting cart as shown above. The cart is placed on the inclined portion of a track and released from rest at position P, at a height y, above the horizontal portion of the track. It rolls with negligible friction down the incline and through a uniform magnetic field B in the region above the horizontal portion of the track. The conducting loop is in the plane of the page, and the magnetic field is directed out of the page. The loop passes completely through the field with a negligible change in speed. Express your answers in terms of the given quantities and fundamental constants. a) Show all work (starting with equations from the equation sheet) to determine the speed of the cart when it reaches the horizontal portion of the track. b) Determine the following for the time at which the cart is at position P,, with one-third of the loop in the magnetic field. i. The magnitude of the emf induced in the conducting loop ii. The magnitude of the current induced in the conducting loop i. Using the axes below as a guide to draw on your own paper, sketch a graph of the magnitude of the magnetic flux O through the loop as a function of the horizontal distance x traveled by the cart, letting x = 0 be the position at which the front edge of the loop just enters the field. Label appropriate values on the vertical axis. i. Using the axes below as a guide to draw on your own paper, sketch a graph of the current induced in the loop as a function of the horizontal distance x traveled by the cart, letting x = 0 be the position at which the front edge of the loop just enters the field. Let counterclockwise current be positive and label appropriate values on the vertical axis. Counterclockwise Current 2w 3w 14w 5w 2w 3w 4w 5w Clockwise Current d) In a coherent, paragraph length response, compare the magnitude and direction of the current when the front of the cart is just past x = 0 (as shown in the diagram), when the front of the cart is at x = 2w, and when the front of the cart is just past x = 3w. Include an explanation of why there is or is not a current and the direction of the current if one is present. Use fundamental physics concepts and principles in your explanation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer