A conducting rectangular loop ofmass M, resistance R , and dimensions w by l falls from rest into a magneticfield B→, as shown in Figure P20.67. Duringthe time interval before the topedge of the loop reaches the field, theloop approaches a terminal speed v T.(a) Show thatvT = MgR/B2w2(b) Why is vT proportional to R ?(c) Why is it inversely proportional to B2? A conducting rectangular loop ofmass M, resistance R, and dimensionsw by e falls from rest into a magneticfield B, as shown in Figure P20.67. Dur-ing the time interval before the topedge of the loop reaches the field, theloop approaches a terminal speed vr.(a) Show that-W-v = 0вMgRVr =B'w?(b) Why is vT proportional to R?(c) Why is it inversely proportional to B??Figure P20.67

(a)Magnetic force exerted on the lower end of the loop:

Answered: A conducting rectangular loop of mass…

University Physics Volume 2

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Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 89AP: The current through a circular wire loop of radius 10 cm is 5.0 A. (a) Calculate themagnetic dipole...

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Question

A conducting rectangular loop of
mass M, resistance R , and dimensions w by l falls from rest into a magnetic
field B^→, as shown in Figure P20.67. During
the time interval before the top
edge of the loop reaches the field, the
loop approaches a terminal speed v T.
(a) Show that

v_T = M_gR/B²w²

(b) Why is v_T proportional to R ?
(c) Why is it inversely proportional to B²?

A conducting rectangular loop of
mass M, resistance R, and dimensions
w by e falls from rest into a magnetic
field B, as shown in Figure P20.67. Dur-
ing the time interval before the top
edge of the loop reaches the field, the
loop approaches a terminal speed vr.
(a) Show that
-W-
v = 0
в
MgR
Vr =
B'w?
(b) Why is vT proportional to R?
(c) Why is it inversely proportional to B??
Figure P20.67

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