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

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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 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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Transcribed Image Text:9:03 O d Edit 28 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 Tools Mobile View Share PDF to DOC
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