A system has two charges, \(q_\mathrm{A} = 2.5 \times 10^{-7}~\text{C}\) and \(q_\mathrm{B} = -2.5 \times 10^{-7}~\text{C}\), is located at points \(\mathrm{A}\)\((0,0,-15~\text{cm})\) and \(\mathrm{B}\): \((0,0,+15~\text{cm})\) respectively. The electric dipole moment of the system is:

1. \(7.5\times 10^{-8}~\text{C-m}\) (along negative z-axis)
2. \(8.5\times 10^{-8}~\text{C-m}\) (along positive z-axis)
3. \(5.5\times 10^{-8}~\text{C-m}\) (along positive z-axis)
4. \(3.5\times 10^{-8}~\text{C-m}\) (along negative z-axis)

Subtopic:  Electric Dipole |
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An electric dipole with dipole moment \(4\times 10^{-9}~\text{Cm}\) is aligned at \(30^{\circ}\) with the direction of a uniform electric field of magnitude \(5\times 10^{4}~\text{NC}^{-1}\). The magnitude of the torque acting on the dipole is:
1. \(2\times 10^{-5}~\text{N-m}\) 2. \(10^{-4}~\text{N-m}\)
3. \(10^{-5}~\text{N-m}\) 4. \(2\times 10^{-4}~\text{N-m}\)
Subtopic:  Electric Dipole |
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In a certain region of space, the electric field is along the \(z\text-\)direction throughout. The magnitude of the electric field is, however, not constant but increases uniformly along the positive \(z\text-\)direction, at the rate of \(10^{5}\) NC–1 per meter. What is the torque experienced by a system having a total dipole moment equal to \(10^{-7}~\text{C-m}\) in the negative \(z\text{-}\)direction? 
1. \(10^{-2}~\text{N-m}\) 2. \(0\)
3. \(10^{-1}~\text{N-m}\) 4. \(0.01~\text{N-m}\)
Subtopic:  Electric Dipole |
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