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. | \(7.5\times 10^{-8}~\text{C-m}~(\text{along negative z-axis})\) |
2. | \(8.5\times 10^{-8}~\text{C-m}~(\text{along positive z-axis})\) |
3. | \(5.5\times 10^{-8}~\text{C-m}~(\text{along positive z-axis})\) |
4. | \(3.5\times 10^{-8}~\text{C-m}~(\text{along negative z-axis})\) |
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. \(2\times 10^{-4}~\text{N-m}\)
1. | \(10^{-2}~\text{N-m}\) |
2. | \(0\) |
3. | \(10^{-1}~\text{N-m}\) |
4. | \(0.01~\text{N-m}\) |