Two small identical electric dipoles AB and CD, each of dipole moment \overrightarrow{p}are kept at an angle of 90^{\circ} to each other in an external electric field \overrightarrow{E}pointing along the x-axis as shown in the figure. Find the

(a) dipole moment of the arrangement, and

(b) magnitude and direction of the net torque acting on it.

 

 

 
 
 
 
 

Answers (1)

a)

P=\sqrt{P_1^2+P_2^2}=\sqrt{P^2+P^2}=\sqrt{2}P

Direction\ \theta=tan^{-1}(\frac{P}{P})=45^0

b)

T=\sqrt{2}PEsin45=PE

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