Two metallic (perfectly conducting) solid spheres each have radius R. One of them carries charge +Q...

 

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Two metallic (perfectly conducting) solid spheres each have radius R. One of them carries charge +Q and is centered at (0, d/2, 0). Assume R< d/2, so that the origin is outside the sphere. The other sphere is centered at(0,-d/2, 0) and carries charge -Q. (a) What is the electrie field inside either of the spheres? (b) What is the electrie lield (magaitude and direction) at a point (xo, 0, 0) on the x axis? (e) What is the electric field (magnitude and direction) at a point (0, ya, 0) on the y axis, which is outside both of the spheres? Approximate this expression for points far from the dipole arrangement, i.c., for yo>>d. (d) What are the magnitude and the direetion of the electric dipole moment? Two metallic (perfectly conducting) solid spheres each have radius R. One of them carries charge +Q and is centered at (0, d/2, 0). Assume R< d/2, so that the origin is outside the sphere. The other sphere is centered at(0,-d/2, 0) and carries charge -Q. (a) What is the electrie field inside either of the spheres? (b) What is the electrie lield (magaitude and direction) at a point (xo, 0, 0) on the x axis? (e) What is the electric field (magnitude and direction) at a point (0, ya, 0) on the y axis, which is outside both of the spheres? Approximate this expression for points far from the dipole arrangement, i.c., for yo>>d. (d) What are the magnitude and the direetion of the electric dipole moment?

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