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-2πσ dr. (b) What is the magnetic field dB at the center of the disc, created by the rotating charge dą 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-2πσ dr. (b) What is the magnetic field dB at the center of the disc, created by the rotating charge dą 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?
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 25P: A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in...
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