Q5-(a) An insulating sphere with radius a has a uniform charge density p. The sphere is...

 

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Q5-(a) An insulating sphere with radius a has a uniform charge density p. The sphere is not centered at the origin but at = b. Show that the electric field inside the sphere is given by E p(-b)/3€, . R (b) An insulating sphere of radius R has a spherical hole of radius a located within its volume and centered a distance b from the center Charge density p of the sphere, where a<b<R (a cross section of the sphere is shown in Fig.). The solid part of the sphere has a uniform volume charge density p. Find the magnitude and direction of the electric field E inside the hole, and show that E is uniform over the entire hole. [Hint: Use the principle of superposition and the result of part (a).] Q5-(a) An insulating sphere with radius a has a uniform charge density p. The sphere is not centered at the origin but at = b. Show that the electric field inside the sphere is given by E p(-b)/3€, . R (b) An insulating sphere of radius R has a spherical hole of radius a located within its volume and centered a distance b from the center Charge density p of the sphere, where a<b<R (a cross section of the sphere is shown in Fig.). The solid part of the sphere has a uniform volume charge density p. Find the magnitude and direction of the electric field E inside the hole, and show that E is uniform over the entire hole. [Hint: Use the principle of superposition and the result of part (a).]