8. A rectangular conducting loop of length a and width b is placed at a distance L away from a very long straight wire that carries a constant current Io, see Fig. 8. The long wire current produces a (non-uniform) magnetic field in the space around it: B(x) =- Holo with x being the distance of a point away from the long wire current. (a). Determine the magnetic flux through the rectangular loop. [hint: decompose the loop into many narrow band and then use integration] (b). If the rectangular loop is pulled away from the long wire current at constant speed v (so L is dL increasing and v=), what emf ɛ is induced in the loop? dt (c). If the total resistance of the rectangular loop is R, determine the induced current flowing in the loop. Does the induced current flow clockwise or counter-clockwise? (d). Determine the force F required to pull the loop away. ва Fig.8 for Problem 8.

8. A rectangular conducting loop of length a and width b is placed at a distance L away from a very long straight wire that carries a constant current Io, see Fig. 8. The long wire current produces a (non-uniform) magnetic field in the space around it: B(x) =- Holo with x being the distance of a point away from the long wire current. (a). Determine the magnetic flux through the rectangular loop. [hint: decompose the loop into many narrow band and then use integration] (b). If the rectangular loop is pulled away from the long wire current at constant speed v (so L is dL increasing and v=), what emf ɛ is induced in the loop? dt (c). If the total resistance of the rectangular loop is R, determine the induced current flowing in the loop. Does the induced current flow clockwise or counter-clockwise? (d). Determine the force F required to pull the loop away. ва Fig.8 for Problem 8.

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)...

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Question

8.
A rectangular conducting loop of length a and width b is placed at a distance L away
from a very long straight wire that carries a constant current Io, see Fig. 8. The long wire current
produces a (non-uniform) magnetic field in the space around it: B(x) =-
Holo
with x being the
distance of a point away from the long wire current.
(a). Determine the magnetic flux through the rectangular loop. [hint: decompose the loop into many
narrow band and then use integration]
(b). If the rectangular loop is pulled away from the long wire current at constant speed v (so L is
dL
increasing and v=""), what emf ɛ is induced in the loop?
dt
(c). If the total resistance of the rectangular loop is R, determine the induced current flowing in the
loop. Does the induced current flow clockwise or counter-clockwise?
(d). Determine the force F required to pull the loop away.
В
Fig.8 for Problem 8.

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