Solveeit Logo
Login

Question

Question: An electric dipole of moment \(\overrightarrow{P}\)is placed in a uniform electric field \(\overrigh...

An electric dipole of moment P→\overrightarrow{P}is placed in a uniform electric field E→\overrightarrow{E}. Then

(i) The torque on the dipole is P→×E→\overrightarrow{P} \times \overrightarrow{E}

(ii) The potential energy of the system is P→.E→\overrightarrow{P}.\overrightarrow{E}

(iii) The resultant force on the dipole is zero. Choose the correct option.

A

(i), (ii) and (iii) are correct

B

(i) and (iii) are correct and (ii) is wrong

C

Only (i) is correct

D

(i) and (ii) are correct and (iii) is wrong

Answer

(i) and (iii) are correct and (ii) is wrong

Explanation

Solution

: In a uniform electric field E→\overrightarrow{E}, dipole experiences a torque τ→\overrightarrow{\tau} given by τ→=p→×E→\overrightarrow{\tau} = \overrightarrow{p} \times \overrightarrow{E}but experiences no force. The potential energy of the dipole in a uniform electric field E→\overrightarrow{E} is U=−P→.E→U = - \overrightarrow{P}.\overrightarrow{E}