An isolated water molecule is modeled as two point charges +0.700e separated by 0.0480 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 837 N/C. What is the maximum possible torque on the molecule due to the electric field? +q Axis of rotation -9 N-m
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- The HCl molecule has a dipole moment of about 3.4x10-30 C·m. The two atoms areseparated by about 1.0x10-10 m.a. What is the net charge on each atom? Is this equal to an integer multiple of e? Ifnot, explain.b. What maximum torque would this dipole experience in a 2.5x104 N/C electricfield?c. How much energy would be needed to rotate one molecule 45° from itsequilibrium (lowest potential energy) position?The permanent electric dipole moment of the water molecule (H2O) is 6.2×10^−30 C⋅m What is the maximum possible torque on a water molecule in a 5.0×108 N/C electric field?Consider a polar molecule such as water, which has an electrical dipole moment of 6×10-30 Cm. Suppose we place such a molecule in an external electric field of 3.5×10-6 N/C. What is the difference in potential energy between the dipole moment being parallel to and anti-parallel to the electric field?
- The magnitude of the electric fie ld at a distance r from a point charge O is equal to O/4πεor2. How close to a water molecule (of polarizability volume 1.48 x 1-30 m3) must a proton approach before the dipole moment it induces is equal to the permanent dipole moment of the molecule (1.85 D)?Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process, their internal charge distribution becomes distorted by the field, which results in the region of a molecule on the side in the direction of the field gaining a positive net charge and the region on the other side gaining a negative net charge. Both charges have equal magnitudes, and the electric neutrality of the molecule as a whole is maintained. The electric field is said to induce an electric dipole moment in such a molecule. When the field is canceled, the molecule reverts to its unpolarized state and loses its electric dipole moment. The electric behavior of such a molecule can be modeled by a pair of ±1.60×10−19 C±1.60×10−19 C charges connected by a spring with force constant 0.000613 N/m.0.000613 N/m. The spring must be imagined as possessing zero relaxed length so that normally…Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process, their internal charge distribution becomes distorted by the field, which results in the region of a molecule on the side in the direction of the field gaining a positive net charge and the region on the other side gaining a negative net charge. Both charges have equal magnitudes, and the electric neutrality of the molecule as a whole is maintained. The electric field is said to induce an electric dipole moment in such a molecule. When the field is canceled, the molecule reverts to its unpolarized state and loses its electric dipole moment. The electric behavior of such a molecule can be modeled by a pair of ±1.60×10^−19 C charges connected by a spring with force constant 0.000711 N/m. The spring must be imagined as possessing zero relaxed length so that normally the charges overlap and the…
- A water molecule consists of two hydrogen atoms bonded with one oxygen atom. The bond angle between the two hydrogen atoms is 104° (see below). Calculate the net dipole moment (in C · m) of a water molecule that is placed in a uniform, horizontal electric field of magnitude 5.4 ✕ 10−8 N/C. (Only calculate the permanent dipole moment based on charge distributions shown in the figure, and exclude any induced dipole moment. The O–H bond length in water is 0.958 angstroms. Express your answer in vector form. Assume that the +x-axis is to the right and the +y-axis is up along the page.) p = _____ C · mA water molecule has a permanent dipole moment of 6.20×10-30 Cm, and if you put one in an electric field it will feel a torque and try to rotate (this is essentially how a microwave oven works, although that electric field oscillates). What is the torque on the molecule if its dipole moment is oriented at 55.8° with respect to the electric field, which has a strength of 2.90×104 N/C? 1.80×10-25 Nm 1.49×10-25 Nm 1.09×10-25 Nm 1.22×10-25 NmFour dipoles, each consistingora 4. TpCc charge and a -14.1 JC charge, are located in the xy-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux (in the units of 10° N.m?/C) through the sphere due to these dipoles? (g =8.85x 1072 CZ/N - m?) O -1.0mm
- A non-conducting solid cylinder withvolumetric charge density a pa and radiusa , is surrounded by another non-conducting solid cylinder of the same length and radius aof the same length andof inner radius a and outer radius b withvolumetric charge density pb .Find the expression for the magnitudeof the electric field for: (a) Points inside the central cylinder. b) Points outside the central cylinder andinside the outer cylinder. c) Points outside both cylinders.There is a long cylinder that is made of nonconducting material. It has a cross section radius of 9cm and a uniform volume charge density of 3 nC/m³. The magnitude of the electric feild at a point that is within the cylinder at distance r =6cm from the central axis is equal to what? Your ans will be in N/c. a. 6.8 B. 10 c. 15. D. 30 e. 46Molecules of carbon monoxide are permanent electric dipoles due to unequal sharing of electrons between the carbon and oxygen atoms. the figure shows the distance and charges. Suppose a carbon monoxide molecule with a horizontal axis is in a vertical electric field of strength 15000 N/C. What is the magnitude of the net force on the molecule?Express your answer in newtons. What is the magnitude of the torque on the molecule?Express your answer in newton-meters.