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The Penning trap consider the following configuration of charges: charges +2Q on the z-axis at position d and charges Q on the x and y-axes at...

The Penning trap consider the following configuration of charges: charges +2Q on the z-axis at position ±d and charges −Q on the x and y-axes at position ±d.Show that the electric field E⃗ generated in the vicinity of the origin (x,y,z<<d) by this charge configuration is: E⃗ = (6Q/d3)(⃗x + ⃗y − 2⃗z).

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