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 \(\dfrac{p'}{p}\) equals:
1. \(3\sqrt3\) 2. \(\dfrac{3\sqrt3}{2}\)
3. \(\sqrt3\) 4. \(\dfrac{\sqrt3}{2}\)
Subtopic:  Electric Dipole |
Level 3: 35%-60%

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A dipole is placed at the centre of a uniformly charged circular ring, with the axis of the dipole along the axis of the ring.
The dipole experiences:
1. no force and no torque.
2. a force but no torque.
3. a torque but no force.
4. a force and a torque.
Subtopic:  Electric Dipole |
Level 3: 35%-60%

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A pair of equal and opposite charges of magnitude \(Q\) are placed a distance \(d\) apart. At the mid-point of these charges, is placed a dipole of dipole moment \(p.\) The maximum possible torque on the dipole is:
1. \(p\cdot\dfrac{2kQ}{(d/2)^2}\) 2. \(p\cdot\dfrac{2kQ}{(d/2)}\)
3. \(p\cdot\dfrac{kQ}{(d/2)^2}\) 4. \(p\cdot\dfrac{kQ}{(d/2)}\)
Subtopic:  Electric Dipole |
 59%
Level 3: 35%-60%

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Two dipoles are placed along the \(x\)-axis, as shown in the figure, in two different configurations: \(A\) and \(B.\) Then, they will:
1. attract in \((A),\) repel in \((B)\)
2. repel in \((A),\) attract in \((B)\)
3. attract in both \((A)~\text{and}~(B)\)
4. repel in both \((A)~\text{and}~(B)\)
Subtopic:  Electric Dipole |
 72%
Level 2: 60%+

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The axial electric field of a dipole (moment: \(p\)) equals that of a point charge (charge: \(Q\)); both at the same distance \(r.\) Then:
1. \(r={\Large\frac{p}{Q}}\) 2. \(r={\Large\frac{p}{2Q}}\)
3. \(r={\Large\frac{2p}{Q}}\) 4. \(r={\Large\frac{Q}{2p}}\)
Subtopic:  Electric Dipole |
 74%
Level 2: 60%+

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