Q3: Consider a solid conducting sphere of radius R with a uniform magnetization M = M...

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Q3: Consider a solid conducting sphere of radius R with a uniform magnetization M = M₂ and carrying a surface charge Q. a) Calculate the electric & magnetic field everywhere. b) Calculate the momentum density Pem carried by the EM field. c) Calculate the angular momentum carried by the field. In which direction it points? (Hint: the angular momentum density is defined as em ỉ =rxpem .) em d) Now suppose we slowly switch off the magnetic field, keeping Q constant. Calculate the induced electric field ind and calculate the electromagnetic force exerted by Ed on the sphere. 'ind Q3: Consider a solid conducting sphere of radius R with a uniform magnetization M = M₂ and carrying a surface charge Q. a) Calculate the electric & magnetic field everywhere. b) Calculate the momentum density Pem carried by the EM field. c) Calculate the angular momentum carried by the field. In which direction it points? (Hint: the angular momentum density is defined as em ỉ =rxpem .) em d) Now suppose we slowly switch off the magnetic field, keeping Q constant. Calculate the induced electric field ind and calculate the electromagnetic force exerted by Ed on the sphere. 'ind