Tag: electrostatics

Questions Related to electrostatics

Two charges of charge $-4\mu C$ and $+4\mu C$ are placed of the point $A(1, 0, 4)$ and $B(2, -1, 5)$ located in an electric field $E = 0.20\hat {i} V/ C-m$. Then, torque acting on the dipole will be

  1. $2.31\times 10^{-4} N/m$

  2. $7.98\times 10^{-4} C/m$

  3. $7.11\times 10^{-4} C/m$

  4. $7.04\times 10^{-4} C/m$


Correct Option: D

Dipole is placed parallel to the electric field. If W is the work done in rotating the dipole $60^0$, then work  done in rotating it by $180^0$ is

  1. 2 W

  2. 3 W

  3. 4 W

  4. W/2


Correct Option: B

A magnetic dipole is placed at right angles to the direction of lines of force of magnetic induction B. If it is rotated through an angle of $180^0$, then the work done is 

  1. 2 MB

  2. MB

  3. -2 MB

  4. Zero


Correct Option: D

In a certain region of space, electric field is along z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of $10^5 NC^{-1}$ per metre. What is the torque experienced by a system having a total dipole moment equal to $10^{-7}$ C-m in the negative z-direction?

  1. 2 N-m

  2. 3 N-m

  3. 4 N-m

  4. Zero


Correct Option: D
Explanation:

$\tau =\vec P\times \vec E = PE \sin\theta $
Since, $ \theta = 180^o \rightarrow \tau =0 $

For a dipole $q=2\times 10^{-6}C$ , d=0.01 m, find the maximum torque on the dipole if $E=5\times 10^{5}N/C$ :-

  1. $1\times 10^{-3}Nrn^{-1}$

  2. $10\times 10^{-3}Nrn^{-1}$

  3. $1\times 10^{-3}Nrn$

  4. $1\times 10^{-4}Nrn$


Correct Option: C

The work done in rotating a dipole through ${ 180 }^{ \circ  }$ from electric field direction is :

  1. $pE$

  2. $2pE$

  3. $\cfrac { pE }{ 2 } $

  4. $Zero$


Correct Option: B
Explanation:

Work done due to dipole $=W=-pE\cos\theta$ where $p=$ dipole moment, $E=$ electric field
Here, $W=W _{(180)}-W _{(0)}=(-pE\cos180)-(-pE\cos0)=pE+pE=2pE$
Ans: (B)

Total electric force on an electric dipole placed in an electric field of a point charge is :

  1. always zero

  2. never zero

  3. zero when midpoint of dipole coincides with the point charge

  4. zero when dipole axis is along any electric line of force.


Correct Option: B

Work done in turning dipole through an angle 60 is 

  1. $zero$

  2. $pE/4$

  3. $pE$

  4. $pE/2$


Correct Option: C
Explanation:

Work done $=PE\cos{ 60 }^{ 0 }$

This is the working formula

An electri dipole experience linear displacement and  rotational motion in _____ electric field.

  1. uniform

  2. non-uniform

  3. none

  4. a&b both


Correct Option: B

An electric dipole consists of two opposite charges each of magnitude $ 1.0 \mu C $ separated by a distance of 2.0 cm. the diople is placed in an external electric field of $ 1.0 \times  10^5 N/C $ the maximum torque on the dipole is:

  1. $ 0.2 \times 10^{-3} N-m $

  2. $ 1.0 \times 10^{-3} N-m $

  3. $ 2.0 \times 10^{-3} N-m $

  4. $ 4.0 \times 10^{-3} N-m $


Correct Option: C