An electric dipole consists of two equal and opposite charges of $2 \ \mu C$ separated by a distance of $3 \ cm$. If it is placed in an external electric field of $2 \times 10^{5} \ N/C$,the maximum torque experienced by it is:

  • A
    $12 \times 10^{-1} \ Nm$
  • B
    $12 \times 10^{-3} \ Nm$
  • C
    $24 \times 10^{-3} \ Nm$
  • D
    $24 \times 10^{-1} \ Nm$

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When three electric dipoles are near each other,they each experience the electric field of the other two,and the three-dipole system has a certain potential energy. The figure below shows three arrangements $(1)$,$(2)$,and $(3)$ in which three electric dipoles are side by side. All three dipoles have the same magnitude of electric dipole moment,and the spacings between adjacent dipoles are identical. If $U_1$,$U_2$,and $U_3$ are potential energies of the arrangements $(1)$,$(2)$,and $(3)$ respectively,then:

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