An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(2\times 10^5 ~\text{NC}^{-1}\). It experiences a torque equal to \(4~\text{N-m}\). Calculate the magnitude of charge on the dipole if the dipole length is \(2~\text{cm}\).
1. \(2~\text{mC}\)
2. \(8~\text{mC}\)
3. \(6~\text{mC}\)
4. \(4~\text{mC}\)
Subtopic:  Electric Dipole |
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Two point charges \({-q}\) and \({+q}\) are placed at a distance of \({L},\) as shown in the figure.
          
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
1. \(\dfrac{1}{{R}^{6}}\) 2. \(\dfrac{1}{{R}^{2}}\)
3. \(\dfrac{1}{{R}^{3}}\) 4. \(\dfrac{1}{{R}^{4}}\)
Subtopic:  Electric Dipole |
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Polar molecules are the molecules:

1. that acquires a dipole moment only when the magnetic field is absent.
2. has a permanent electric dipole moment.
3. has zero dipole moment.
4. that acquire a dipole moment only in the presence of an electric field due to displacement of charges.
Subtopic:  Electric Dipole |
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A dipole is placed in an electric field as shown. In which direction will it move? 

           

1. towards the left as its potential energy will decrease.
2. towards the right as its potential energy will increase.
3. towards the left as its potential energy will increase.
4. towards the right as its potential energy will decrease.
Subtopic:  Electric Dipole |
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The electric field at a point on the equatorial plane at a distance \(r\) from the centre of a dipole having dipole moment \(\overrightarrow{P}\) is given by:
(\(r\gg\) separation of two charges forming the dipole, \(\varepsilon_{0} =\) permittivity of free space) 
1. \(\overrightarrow{E}=\dfrac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{3}}\)
2. \(\overrightarrow{E}=\dfrac{2\overrightarrow{P}}{\pi \varepsilon _{0}r^{3}}\)
3. \(\overrightarrow{E}=-\dfrac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{2}}\)
4. \(\overrightarrow{E}=-\dfrac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{3}}\)
Subtopic:  Electric Dipole |
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