(Solved): A neutral solid metal sphere of radius \( 0.1 \mathrm{~m} \) is at the origin, polarized by a poin ...

A neutral solid metal sphere of radius \( 0.1 \mathrm{~m} \) is at the origin, polarized by a point charge of \( 5 \times 10^{-8} \mathrm{C} \) at location \( \langle-0.3,0,0\rangle \mathrm{m} . \) At location \( \langle 0,0.02,0\rangle \mathrm{m} \), what is the electric field contributed by the polarization charges on the surface of the metal sphere? (Express your answer in vector form.) \[ \vec{E}_{\text {charges }}=<\quad, \quad>, \mathrm{N} / \mathrm{C} \] How do you know? The net field inside the metal sphere must be amplified by a factor dependent on the metal used. We may safely assume this is copper, so that within the sphere the field due to the charges is approximately ten times the field due to the point charge. The net field inside the metal sphere must be reduced by a factor dependent on the metal used. We may safely assume this is copper, so that within the sphere the field due to the charges is approximately one-tenth the field due to the point charge. The net field inside the metal sphere must be zero, so that within the sphere the field due to the charges must be equal in both magnitude and direction to the field due to the point charge. The net field inside the metal sphere must be zero, so that within the sphere the field due to the charges must be equal in magnitude but opposite in direction to the field due to the point charge.