Two coplanar dipoles are oriented as shown in the figure. Assume that angle 0 is fixed. Find the equilibrium angle 0'.
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- A disk with uniform surface charge density = -8.60 μC/m² is oriented as shown in the diagram below. The field at a o y - 2/0 (¹ - √√√² + ²), 1- distance y from the center of a disk (of radius r = 0.420 m) and along its axis is given by E = - where & = 8.85 x 10-12 c²/(N m²) is the permittivity of free space. What is the electric potential at a location P whose coordinates are (0, 0.115 m)? Take the electric potential at infinity to be zero. V y P (0, y) xCalculate the potential energy of the interaction between two linear quadrupoles when they are collinear and their centres are separated by a distance r.What is the angle between the electrostatic force on the charge at the origin and the pos- itive z-axis? Answer in degrees as an angle between -180° and 180° measured from the positive x-axis, with counterclockwise posi- tive. Answer in units of °.
- 4) Just as in problem 3 above, a neutral molecule has a dipole moment of 5 Debyes (1.6E-29 Cm) pointing in the x direction. It can be modeled as two charges +e and -e separated from one another by 1E-10 meters (1 angstrom), straddling the origin along the x axis, at x=0. An electron is located on the y axis at y=10 angstroms. What is the force (both magnitude and direction) on the electron by the dipole? ie (o, 10Å) --> X e cx=0.5Å,yr0)A small object with dipole moment p is released near its equilibriumorientation in a uniform electric field of magnitude E.The rotational inertia of the dipole is I. (a) What is the effectivetorsional constant k of this simple harmonic system? (b)Calculate the angular frequency v of small oscillations aboutthe equilibrium orientation.Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1, attached to the same fixed point. The spheres are given equal charges Q of the same sign. As a result each string makes angle a to the vertical (see figure below). Calculate m, if 1 = 78.3 cm, Q = 4 µC and a = π/6. Take Coulomb constant ke-8.99×109 Nm² C-2. Give your answer in grams. / / / / L d M
- Could you please also give the angles for dipoles (2) and (3) along with the explanation, as was given above for dipoles (1) and (4)?An isolated water molecule is modeled as two point charges ±0.700e separated by 0.0980 nm. Its rotational inertia is 2.93 × 10−47 kg·m2 about the axis shown in the figure below. The molecule is in a uniform electric field of magnitude 838 N/C. If the molecule is initially at rest at θ = 90.0°, what is its angular speed when it reaches θ = 0, assuming no other forces or torques? rad/s