An electric dipole is placed at an angle of $$30^\circ$$ with an electric field intensity $$2\times10^5~ \text{N/C}$$. It experiences a torque equal to $$4 ~\text{N-m}$$. The charge on the dipole, if the dipole length is $$2~ \text{cm}$$, is:

 1 $$8~\text{mC}$$ 2 $$2~\text{mC}$$ 3 $$5~\text{mC}$$ 4 $$7~\mu \text{C}$$
Subtopic:  Electric Dipole |
87%
From NCERT
NEET - 2016
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Three-point charges + q, -2q and +q are placed at points (x=0, y=a, z=0), (x=0, y=0, z=0) and (x=a, y=0, z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are:

 1 $\sqrt{2}$qa along +y direction 2 $\sqrt{2}$qa along the line joining points (x=0, y= 0, z=0) and (x=a, y=a, z=0) 3 qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0) 4 $\sqrt{2}$qa along +x direction
Subtopic:  Electric Dipole |
84%
From NCERT
AIPMT - 2007
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An electric dipole is placed at the centre of a sphere. Which of the following statements is correct?

 1 The electric flux through the sphere is zero. 2 The electric field is zero at every point on the sphere. 3 The electric field is zero at every point inside the sphere. 4 The electric field is uniform inside the sphere.
Subtopic:  Electric Dipole |
69%
From NCERT
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The net dipole moment of the system is of the magnitude:

1.  q $×$ 2a

2.  2q $×$ 2a

3.  q $×$ a

4.  2 $×$ (2q $×$ 2a)

Subtopic:  Electric Dipole |
73%
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In a certain region of space, the electric field is along the z-direction throughout. The magnitude of the electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 105 NC-1 per meter. What is the torque experienced by a system having a total dipole moment equal to ${10}^{-7}$ $\mathrm{C-}m$ in the negative z-direction?

 1 ${10}^{-2}$ $Nm$ 2 $0$ 3 ${10}^{-1}$ $Nm$ 4 $0.01$ $Nm$
Subtopic:  Electric Dipole |
67%
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The electric field at the equator of a dipole is $$E.$$ If the strength of the dipole and distance are now doubled, then the electric field will be:

 1 $$E/2$$ 2 $$E/8$$ 3 $$E/4$$ 4 $$E$$
Subtopic:  Electric Dipole |
66%
From NCERT
AIPMT - 1998
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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 $\stackrel{}{}$$$\overrightarrow{P}$$ is given by:
($$r\gg$$ separation of two charges forming the dipole, $$\epsilon_{0} =$$ permittivity of free space)
1. $$\overrightarrow{E}=\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}$$

2. $$\overrightarrow{E}=\frac{2\overrightarrow{P}}{\pi \epsilon _{0}r^{3}}$$

3. $$\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{2}}$$

4. $$\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}$$

Subtopic:  Electric Dipole |
62%
From NCERT
NEET - 2020
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An electric dipole is kept at the origin as shown in the diagram. The point A, B, C are on a circular arc with the centre of curvature at the origin. If the electric fields at A, B and C respectively are $\stackrel{\to }{{E}_{1}},$ $\stackrel{\to }{{E}_{2}},$ $\stackrel{\to }{{E}_{3}}$ , then which of the following is incorrect? $$\left ( d\gg l \right )$$

1.  $\stackrel{\to }{{E}_{1}}$ $=$ $-\stackrel{\to }{{E}_{3}}$
2.  $\stackrel{\to }{{E}_{1}}$ $=$ $-2\stackrel{\to }{{E}_{2}}$
3.  $\stackrel{\to }{{E}_{1}}$ $=$ $\stackrel{\to }{{E}_{3}}$
4.  $\stackrel{\to }{{E}_{3}}$ $=$ $-\stackrel{\to }{2{E}_{2}}$

Subtopic:  Electric Dipole |
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The figure shows electric field lines in which an electric dipole p is placed as shown. Which of the following statements is correct?

 1 The dipole will not experience any force. 2 The dipole will experience a force towards the right. 3 The dipole will experience a force towards the left. 4 The dipole will experience a force upwards.

Subtopic:  Electric Dipole |
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Two point dipoles of dipole moment ${\stackrel{\to }{\mathrm{p}}}_{1}$ and ${\stackrel{\to }{\mathrm{p}}}_{2}$ are at a distance x from each other and ${\stackrel{\to }{\mathrm{p}}}_{1}||{\stackrel{\to }{\mathrm{p}}}_{2}$. The force between the dipole is:

1. $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{4{p}_{1}{p}_{2}}{{x}^{4}}$

2. $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{3{p}_{1}{p}_{2}}{{x}^{3}}$

3. $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{6{p}_{1}{p}_{2}}{{x}^{4}}$

4. $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{8{p}_{1}{p}_{2}}{{x}^{4}}$

Subtopic:  Electric Dipole |
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