A disk with radius R and uniform positive charge density σ lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge Q hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. What is the z-component of the net force on the sphere as a function of the height z above the disk? The z-axis points upward and its origin is at the level of the disk. Express your answer in terms of some or all of the variables R, σ, M, Q, z, the acceleration due to gravity g, and the electric constant epsilon_0.
A disk with radius R and uniform positive charge density σ lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge Q hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. What is the z-component of the net force on the sphere as a function of the height z above the disk? The z-axis points upward and its origin is at the level of the disk. Express your answer in terms of some or all of the variables R, σ, M, Q, z, the acceleration due to gravity g, and the electric constant epsilon_0.
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Could you possibly include a picture of the written solution, the transcription gets a bit confusing! Thank you :)
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