An electric dipole consists of charges +2e and -2e separated by 0.82 nm. it is in an electric field of strength 3.2 x 10^6 n/c. calculate the magnitude of the torque on the dipole when the dipole moment is (a) parallel to, (b) perpendicular to, and (c) antiparallel to the electric field

Explanation:

It is given that,

An electric dipole consists of charges +2e and -2e separated by 0.82 nm

Charge,

Distance between charges,

Electric field strength,

(a) The magnitude of the torque on the dipole is given by :

When dipole moment is parallel to the electric field,

(b) When the dipole is perpendicular to the electric field,

(Since, p = q × d)

(c) When the dipole moment is anti parallel to the electric field,

Since,

Hence, this is the required solution.

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

electric field is a function of 1/r^2

yes, the force per unit charge for a point charge is inverse square law.