A pure dipole is placed a distance d away from an infinite grounded conducting plane. The dipole moment i makes an angle 0o from the plane normal. (a) Find the potential V (r) above the plane. (b) Assuming the dipole is permanent (p| is fixed),how much work is required to bring it in from infinity? If the dipole is held in place but free to rotate, in what orientation(s) does it have the least energy? (c) Show that the potential takes the approximate form: far from the dipole (above the plane). Determine q and p.
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