Use Ampere’s law to find the magnetic field (magnitude and direction) produced (a) inside and (b) outside of a rotating infinite solid cylinder with angular velocity ω, surface charge density σ, and radius R 9:03 O dEdit28PHY142. Problem Set 2. Show complete solutions to the following problems. Write yoursolutions in a sheet of paper and take a picture or use a scanner.Problem 1.Use Biot-Savart law to find the (magnitude and direction)(a) magnetic field produced at any point z along the central axis of a rectangular current loop withlength Land height Hcurrent = Iis counter clockwise),(b) magnetic field in the limit where z>>L and H,(e) magnetic field at the center (0).(d) How will your answers change if the loop is a square (L= HY(e) Compare your answers to that of the circular loop.Problem 2.Use Biot-Savart law to find the (magnitude and direction)(a) magnetic field produced at any point z along the central axis of a octagonal current loop withradius Reurrent = /is eluckwise),%3D(h) magnetic field in the limit where z>>R,(e) magnetic field at the center (-0).(d) How will your answers change if the loop has infinite nunmber of sides?(e) Compare your answers to that of the circular loop.Problem 3.Use Ampere's law to find the magnetic field (magnitude and direction) produced (a) inside and (b)outside of a rotating infinite solid cylinder with angular velocity o, surface charge density o, andradius R.DODOToolsMobile ViewSharePDF to DOC

Part A: Let the axis of the cylinder be along z-axis. Consider a rectangular loop of length l…

Use Ampere’s law to find the magnetic field (magnitude and direction) produced (a) inside and (b) outside of a rotating infinite solid cylinder with angular velocity ω, surface charge density σ, and radius R

Use Ampere’s law to find the magnetic field (magnitude and direction) produced (a) inside and (b) outside of a rotating infinite solid cylinder with angular velocity ω, surface charge density σ, and radius R

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter24: Magnetic Fields

Section: Chapter Questions

Problem 103A

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Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

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9:03 O d
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PHY142. Problem Set 2. Show complete solutions to the following problems. Write your
solutions in a sheet of paper and take a picture or use a scanner.
Problem 1.
Use Biot-Savart law to find the (magnitude and direction)
(a) magnetic field produced at any point z along the central axis of a rectangular current loop with
length Land height Hcurrent = Iis counter clockwise),
(b) magnetic field in the limit where z>>L and H,
(e) magnetic field at the center (0).
(d) How will your answers change if the loop is a square (L= HY
(e) Compare your answers to that of the circular loop.
Problem 2.
Use Biot-Savart law to find the (magnitude and direction)
(a) magnetic field produced at any point z along the central axis of a octagonal current loop with
radius Reurrent = /is eluckwise),
%3D
(h) magnetic field in the limit where z>>R,
(e) magnetic field at the center (-0).
(d) How will your answers change if the loop has infinite nunmber of sides?
(e) Compare your answers to that of the circular loop.
Problem 3.
Use Ampere's law to find the magnetic field (magnitude and direction) produced (a) inside and (b)
outside of a rotating infinite solid cylinder with angular velocity o, surface charge density o, and
radius R.
DO
DO
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Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.

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