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A non-conducting, uniformly charged disc of surface charge density o, radius R and negligible thickness is rotating about its axis with an angular velocity w. (a) Consider a thin circular loop of radius dr at a distance r from the disk center as shown on the picture. Show that the charge on the thin loop is given by dq=2.tor dr. (b) What is the magnetic field dB at the center of the disc, created by the rotating charge dq calculated in (a)? Hint: what is the current dI due to the rotation? (c) Calculate the total magnetic field B at the center of the disc. (d) What is the direction of B?

A non-conducting, uniformly charged disc of surface charge density o, radius R and negligible thickness is rotating about its axis with an angular velocity w. (a) Consider a thin circular loop of radius dr at a distance r from the disk center as shown on the picture. Show that the charge on the thin loop is given by dq=2.tor dr. (b) What is the magnetic field dB at the center of the disc, created by the rotating charge dq calculated in (a)? Hint: what is the current dI due to the rotation? (c) Calculate the total magnetic field B at the center of the disc. (d) What is the direction of B?

College Physics
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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A non-conducting, uniformly charged disc of surface charge density o, radius R and negligible thickness is rotating about its axis with an angular velocity w. (a) Consider a thin circular loop of radius dr at a distance r from the disk center as shown on the picture. Show that the charge on the thin loop is given by dq=2.7or dr. (b) What is the magnetic field dB at the center of the disc, created by the rotating charge dq calculated in (a)? Hint: what is the current dI due to the rotation? (c) Calculate the total magnetic field B at the center of the disc. (d) What is the direction of B?
Transcribed Image Text:A non-conducting, uniformly charged disc of surface charge density o, radius R and negligible thickness is rotating about its axis with an angular velocity w. (a) Consider a thin circular loop of radius dr at a distance r from the disk center as shown on the picture. Show that the charge on the thin loop is given by dq=2.7or dr. (b) What is the magnetic field dB at the center of the disc, created by the rotating charge dq calculated in (a)? Hint: what is the current dI due to the rotation? (c) Calculate the total magnetic field B at the center of the disc. (d) What is the direction of B?
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