In Fig. 4.6, p1 and p2 are (perfect) dipoles a distance r apart. What is the torque on p...

In Fig. 4.6, p₁ and p₂ are (perfect) dipoles a distance r apart. What is the torque on p₁ due to p₂?What is the torque on p₂ due to p₁? [In each case, I want the torque on the dipole about its own center. If it bothers you that the answers are not equal and opposite, see Prob. 4.29.]

Reference prob 4.29

(a) For the configuration in Prob. 4.5, calculate the force on p₂ due to p₁, and the force on p₁ due to p₂. Are the answers consistent with Newton’s third law?

(b) Find the total torque on p₂ with respect to the center of p₁, and compare it with the torque on p₁ about that same point. [Hint: combine your answer to (a) with the result of Prob. 4.5.]