A non-conducting, uniformly charged disc of surface chargedensity σ, radius Rand negligible thickness is rotating aboutits axis with an angular velocity ω.(a) Consider a thin circular loop of radius dr at a distance rfrom the disk center as shown on the picture. Show that thecharge on the thin loop is given bydq=2πσrdr.(b) What is the magnetic field dB at the center of the disc,created by the rotating charge dq calculated in (a)? Hint: whatis the current dI due to the rotation?(c) Calculate the total magnetic field Bat the center of thedisc.(d) What is the direction of B?

A non-conducting, uniformly charged disc of surface chargedensity σ, radius Rand negligible thickness is rotating aboutits axis with an angular velocity ω.(a) Consider a thin circular loop of radius dr at a distance rfrom the disk center as shown on the picture. Show that thecharge on the thin loop is given bydq=2πσrdr.(b) What is the magnetic field dB at the center of the disc,created by the rotating charge dq calculated in (a)? Hint: whatis the current dI due to the rotation?(c) Calculate the total magnetic field Bat the center of thedisc.(d) What is the direction of B?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 44P: If electric and magnetic field strengths vary sinusoidally in time at frequency 1.00 GHz, being zero...

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