5. A uniform shell of charge is placed into a \"breathing\" mode, such that the

Question

5. A uniform shell of charge is placed into a "breathing" mode, such that the radius of the sphere oscillates sinusoidally in time; thus the charge per unit area changes with time, but the total charge remains constant. a. A point is located far from the sphere. When the radius of the sphere is a maximum, does the electric field have a radial component, a tangential component, or both? Explain. b. A point is located far from the sphere. When the radius of the sphere is a minimum, does the electric field have a radial component, a tangential component, or both? Explain. c. Would this spherical shell radiate energy? Explain why or why not. 6. A charge moves with a constant velocity along the z-axis in the labframe, S. a. Consider the same charge in its own reference frame, S'. i. Describe the behavior of the charge in the frame s ii. Does this point charge radiate energy in its own reference frame? Explain. b. One principle of relativity is that all inertial reference frames should describe the same physics. Does the charge moving at a constant velocity in frame s radiate energy? Tutorials in Introductory Physics: Electrodynamics nary Edition, 2017 HW

Explanation / Answer

A) Electric field will have a radial component only. It means the electric field vector is eqither towards or away from the center of the sphere.

B) same as above.

C) No, because even though its potential energy decreases when radius is maximum but it regains those energy again. So we can say that its electropotential energy gets converted to kinetic energy and then again to potential energy and so on.

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