An isolated water molecule is modeled as two point charges ±0.600e separated by 0.0680 nm. Its rotational inertia is 2.93 x 10-47 kg-m2 about the axis shown in the figure below. The molecule is in a uniform electric field of magnitude 436 N/C. If the molecule is initially at rest at 0 = 90.0°, what is its angular speed when it reaches 0= 0, assuming no other forces or torques? +q Axis of rotation |rad/s
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- An electric dipole consists of charges +15e and -15e separated by a distance d = 0.863 nm. It is in a uniform electric field of strength 4.531x10³ N/C. The line from the dipole's positive charge to its negative charge is at an angle 0 = 49.9° from the field lines. What is the magnitude of the torque on the dipole? (in N*m) OА: 1.30x10-24 Submit Answer Tries 0/99 -24 OD: 3.05×10 OB: 1.72×10-24 ОС: 2.29х10- -24 OE: 4.06×10-24 OF: 5.40×10-24 -24 OG: 7.18×10" OH: 9.55×10" )-24d- d- + + P +9 -9-9 +9 -p +p Electric quadrupole. The figure shows an electric quadrupole. It consists of two dipoles with dipole moments that are equal in magnitude but opposite in direction. What is the value of E on the axis of the quadrupole for a point P a distance z from its center (assume z >> d)? Take Q = 2qd² (which is known as the quadrupole moment of the charge distribution.) NOTE: Express your answer in terms of Q and z, using ε0 when needed. E =A solid core carrying excess charge, Q = 47.6 μC, is located at the center of concentric spherical shells. The two spheres are joined by a hollow plastic tube that starts at the radius of the small sphere, r = 13.5 cm, and ends at the radius of the large one, R = 29.7 cm. When a charge, q = 7.8 μC, is placed at the inner end of the tube and released from rest, it accelerates straight through the tube and out the other end as shown. AUE= (a) How much did the electric potential energy change as the particle moved from one end of the tube to the other? Write your answer symbolically, in terms of Q, q, r, R and constants (as needed), then calculate its numeric value. kao ( + - 1/2 ) R = 13.5 J R x J (b) How much electric potential energy will be left when the little charge is 56.7 cm from the core? UE = 5.89 O
- a dipole having a dipole moment of p = Qa coul/m makes an angle 60° with the direction of a uniform electric field E,(a) calculate the torque on the dipoleAn electric dipole consists of charges +2e and -2e separated by 1.1 nm. It is in an electric field of strength 3.1 × 106 N/C. Calculate the magnitude of the torque on the dipole when the dipole moment is (a) parallel to, (b) perpendicular to, and (c) antiparallel to the electric field. (a) Number i Units (b) Number i Units (c) Number i UnitsTwo spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagram below and electrically isolated from each other. A net charge of -3 nC is divided between the conductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell to the other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outer conductor has an inner radius of c=6 cm, an outer radius of d=8 cm. a (a) In equilibrium, all of the excess charge is found on the surfaces. Why is there no charge between a and b, nor between c and d? (b) Determine the net charge on each surface (ie how much charge is there at r = a, at r = b, at r = c and at r= = d). (c) Is the charge on the outer surface equal to the net charge on the outer container, the net charge of the system, or some other amount? Explain briefly. (d) Find the surface charge…
- a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).Round to three significant figures.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