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MasteringPhysics: Print View with Answers

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ANSWER:<br />

r^ =<br />

Part B<br />

Express your answer in terms of the unit vectors i^ and j^ .<br />

ANSWER:<br />

r^ =<br />

Part C<br />

Express your answer in terms of the unit vectors i^ and j^ .<br />

ANSWER:<br />

r^ =<br />

Exercise 21.59<br />

Description: An electric dipole <strong>with</strong> dipole moment p_vec is in a uniform electric field E_vec. (a) Find all the orientations of the dipole for which the<br />

torque on the dipole is zero. (b) Which of the orientations in part (a) is stable, and which is unstable?...<br />

An electric dipole <strong>with</strong> dipole moment p⃗ is in a uniform electric field E ⃗ .<br />

Part A<br />

Find all the orientations of the dipole for which the torque on the dipole is zero.<br />

Enter your answers numerically separated by a commas.<br />

ANSWER:<br />

θ = ∘<br />

0, 180 counterclockwise from the electric field direction<br />

Also accepted: 180, 0<br />

Part B<br />

Which of the orientations in part (a) is stable, and which is unstable? (Hint: Consider a small displacement away from the equilibrium position and see<br />

what happens.)<br />

ANSWER:<br />

stable orientation is only when p⃗ is aligned in the same direction as E ⃗<br />

stable orientation is only when p⃗ is aligned in the opposite direction of E ⃗<br />

stable orientations are only when p⃗ is aligned in the opposite or the same direction as E ⃗<br />

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