Note this problem relies on material in section 20.5, some of which we covered in class, and some you will be expected to read on your own. It is mostly straight forward calculations using the equations provided in the text. You may, of course, ask questions in class about it, but that will be up to you. A dipole has dipole moment p = 1.5 x 10-9⁹ C-m oriented in the + direction and is in a uniform electric field of strength Eo = 4.0 × 10 N/C that is directed 30° from the dipole as shown. The axis perpendicular to the dipole and a test point on that axis are also shown. Eo. (a) What would the charge separation in this dipole be if it were due to one electron and one proton (ie a hydrogen atom)? What would the separation be if it were due to charges of ±1nC? (b) Find the magnitude of the torque on the dipole. (e) Find the work required to rotate the dipole until it is antiparallel to the field (i.e., until 7 points in the opposite direction of the electric field). (d) What would be the torque on the dipole if the dipole were oriented antiparallel to the field? Why is this an unstable equilibrium?
Note this problem relies on material in section 20.5, some of which we covered in class, and some you will be expected to read on your own. It is mostly straight forward calculations using the equations provided in the text. You may, of course, ask questions in class about it, but that will be up to you. A dipole has dipole moment p = 1.5 x 10-9⁹ C-m oriented in the + direction and is in a uniform electric field of strength Eo = 4.0 × 10 N/C that is directed 30° from the dipole as shown. The axis perpendicular to the dipole and a test point on that axis are also shown. Eo. (a) What would the charge separation in this dipole be if it were due to one electron and one proton (ie a hydrogen atom)? What would the separation be if it were due to charges of ±1nC? (b) Find the magnitude of the torque on the dipole. (e) Find the work required to rotate the dipole until it is antiparallel to the field (i.e., until 7 points in the opposite direction of the electric field). (d) What would be the torque on the dipole if the dipole were oriented antiparallel to the field? Why is this an unstable equilibrium?
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Transcribed Image Text:Note this problem relies on material in section 20.5, some of which we covered in class, and some you
will be expected to read on your own. It is mostly straight forward calculations using the equations
provided in the text. You may, of course, ask questions in class about it, but that will be up to you.
A dipole has dipole moment p = 1.5 x 10-9C-m oriented in the + direction and is in a uniform
electric field of strength Eo = 4.0 x 10 N/C that is directed 30° from the dipole as shown. The axis
perpendicular to the dipole and a test point on that axis are also shown.
Eo
(a) What would the charge separation in this dipole be if it were due to one electron and one proton
(ie a hydrogen atom)? What would the separation be if it were due to charges of ±1nC?
(b) Find the magnitude of the torque on the dipole.
(c) Find the work required to rotate the dipole until it is antiparallel to the field (i.e., until 7 points
in the opposite direction of the electric field).
(d) What would be the torque on the dipole if the dipole were oriented antiparallel to the field?
Why is this an unstable equilibrium?
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