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- 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)?A (closed) Gaussian surface encloses 4 Lithium ions (Li+), 8 Chlo-ride ions (Cl−), and 8 neutral Oxygen atoms, only. The total electric flux through the Gaussian surface is most nearlyConsider the point charges arranged at the corners and at the center of a square, as depicted in the figure. a)Find the magnitude of the net Coulomb force, in newtons, on the charge q in the figure, given that q = 1.2 μC, qa = 2.8 μC, qb = -4.4 μC, qc = -5.9 μC, and qd = 1.7 μC. The square is 34 cm on a side.
- Three identical infinite uniform line charges of (5 μC/m) lie along the (positive and negative) x, y and z axes in free space. Find E at: PA(0, 0, 3) due to line charge of x-axes?The point charge 6µC located at T(5,3,4) in free space. Find Eρ, E∅, Ez at P(6, 10, 3)Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)
- Two identical spheres initially carrying charges of -20 mC and +50 mC make contact for only a fewseconds. When they are separated by a distance of 2.50 cm, calculate the force experienced by each sphere.State if this force is attractive or repulsiveThe classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. a)Given that the oil drop is 1.2 μm in radius and has a density of 905 kg/m3, find the weight of the drop in N. b)If the drop has a single excess electron, find the electric field strength needed to balance its weight.Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The charge density on the sphere is ρ=ar, C/m3, where a is a positive constant, and r is the distance from the center of the sphere to an arbitrary point inside the sphere. A point charge with charge Q, of magnitude −16πah4 C, is located at the center of the sphere. Find the electric field, Eux, of the distribution, sphere and point charge, at a point (P), on the x-axis, located at a distance of 2h, measured with respect to the center of the sphere. In this case consider that ah2= 4. Use k=9×109, ux unit vector in the x-direction, π=3.14
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