Two charges \(\pm10~\mu\text{C}\) are placed \(5.0\) mm apart. The electric field at a point \(P\) on the axis of the dipole \(15\) cm away from its centre \(O\) on the side of the positive charge, as shown in the figure is:

1. \(2.7\times10^5~\text{NC}^{-1}\) 2. \(4.13\times10^6~\text{NC}^{-1}\)
3. \(3.86\times10^6~\text{NC}^{-1}\) 4. \(1.33\times10^5~\text{NC}^{-1}\)
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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An electric dipole is placed in a uniform electric field. The net electric force on the dipole:

1. is always zero.
2. depends on the orientation of the dipole.
3. can never be zero.
4. depends on the strength of the dipole.
Subtopic:  Electric Dipole |
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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 |
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Equal and opposite charges are placed at the two vertices of an equilateral triangle, giving a dipole moment \(p.\) A small dipole \(p'\) is placed at the third vertex, parallel to the previous dipole. If the electric fields due to both dipoles \(p,~p',\) at the mid-point of the dipole \(p,\) are equal, then \(\frac{p'}{p}\) equals:
1. \(3\sqrt3\) 2. \(\frac{3\sqrt3}{2}\)
3. \(\sqrt3\) 4. \(\frac{\sqrt3}{2}\)
Subtopic:  Electric Dipole |
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