Inside an insulator spherical shell with a radius of R-8 cm, there are two small spherical charges of mass m 0.05 kg and charges q 1 C. One of charges is stationary and at the very bottom of the sphere. The other charge is free to move and its angular equilibrium position is y Find the angular frequency w of the small oscillation of the moving charge around yin units on rad/s. (Take 9-10 m/s and 1/(4c)-k-9x10° N-m²/C.)
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- A positive charge of 4.20 μC is fixed in place. From a distance of 4.20 cm a particle of mass 6.20 g and charge +3.00 μC is fired with an initial speed of 62.0 m/s directly toward the fixed charge. How close to the fixed charge does the particle get before it comes to rest and starts traveling away? (in cm)The ball of mass m = 2.00 g has a drag coefficient of D = 0.500 and a radius of r = 1.00 cm, and carries a charge of 3.75 µC. The density of air surrounding the ball is ) = 1.20 kg/m. Divide your group in two and have one subgroup solve part (a) and the other part (b). (a) Group (i): The wind blows to the right in the figure at a speed of 10.0 m/s. What angle (in degrees) does the string make with the vertical? (b) Group (ii): The wind shifts so that it blows into the page at the same speed. Now what angle (in degrees) does the string make with the vertical? Now gather your group together again and answer the following. (c) In part (b), what angle (in degrees) does the string make with the plane of the page when looking at the figure?Two parallel, thin, L×L�×� conducting plates are separated by a distance d�, as shown. Let L=�=2.5 m, and d=�=2.0 mm. A charge of ++6.5μC�C is placed on one plate, and a charge of −−6.5μC�C is placed on the other plate. a) What is the magnitude of charge density on the inside surfae of each plate in Coulombs per squae meter? b) What is the magnitude of the electric field between the plates? I was able to find the charge density easily. I am not certain about the electric field.
- Dipole consisting of two equal but opposite point charges separated by a distance "2L". The magnitude either dipole charge is , "qd". A vector quantity called the Electric Dipole Moment Vector ,p ,is defined to have a magnitude p = (qd)(d) (d= separation distance of the dipole charges) and a unit vector direction pointing from negative to positve charge Find the dipole moment vector “p”A factory is spray-painting large sheets of metal electrostatically. The sheets have dimensions of 2.4 m by 2.4 m and are charged with 0.82 mC. A 10 kg drum of paint is charged with -89 μCμC, and the spray nozzle produces uniform droplets of 2.4 g. Assume that all charge is distributed uniformly on the sheet and in the paint and no charge is lost during the spraying process. Determine the magnitude of acceleration the paint droplets feel due to the metal sheet. Give your answer in units of ms2ms2.Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 10.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. Imagine adding electrons to the pin until the negative charge has the very large value 1.00 mC. How many electrons are added for every 109 electrons already present?
- Two red blood cells each have a mass of 5.05 × 10-¹4 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. Once cell carries -2.60 pC of charge and the other -2.70 pC, and each cell can be modeled as a sphere 8.20 µm in diameter. What minimum relative speed u would the red blood cells need when very far away from each other to get close enough to just touch? Ignore viscous drag from the surrounding liquid. V = What is the magnitude of the maximum acceleration amax of each cell? Cmax = m/s m/s²A conducting spherical shell has inner and outer radii r = 0.12 m and = 0.15 m, respectively. As shown in the figure, a concentric insulating sphere of radius r = 0.05 m is located inside the spherical shell. The insulating sphere has a charge of 10,7 nC uniformly distributed over its volume and the conducting shell has a charge of -2 nC. (Take Coulomb's constant as k 9GNm²/C2. Note that nC 10 °C, GN= 10' N) rb (c) Determine the magnitude of the electric field at point P, a distance rp = 0.10 m from the center of the insulating sphere, in N/C. A conducting spherical shell has inner and outer radii = 0.12 m and r = 0.15 m. respectively. As shown in the figure, a concentric insulating sphere of radius r. = 0.05 m is located inside the spherical shell. The insulating sphere has a charge of 10,7 nC uniformly distributed over its volume and the conducting shell has a charge of -2 nC. (Take Coulomb's constant as k = 9GNm²/C². Note that nC 10 °C, GN - 10°N) rb rc o. P (b) Calculate the…A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.9 μC. A second uncharged conducting sphere of radius r2 = 0.46 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size.Randomized Variables r1 = 0.18 mr2 = 0.46 mQ = 1.9 μC What is the total charge on sphere two, Q2 in coulombs?
- A spherical capacitor is composed of two concentric conducting spheres, one of radius a and the other of radius c (c > a). In addition, between the two conductors there is a spherical shell of dielectric material (relative permittivity/relative dielectric constant ) with inner radius b (c > b > a) and outer radius c. The charge on the inner conductor is +Q. The charge on the outer conductor is -Q. (a) Make a sketch of the situation, indicating the relevant dimensions. (b) Determine the magnitude of the electric field E at radius r for a < r < b. (c) Determine the magnitude of the electric field E at radius r for b < r < c. (d) What is the (induced) surface charge density on the inner surface of the dielectric. (e) Sketch the radial component of the electric field versus r . (f) Sketch the electrostatic potential versus r . (g)Calculate the potential difference between the conductor at r = a and that at r = c. (h) What is the capacitance of this capacitor?Two metal spheres of identical mass m 3.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.885 μC, and the right-hand sphere carries a charge of 1.59 μC. What is the equilibrium separation between the centers of the two spheres? m =Four positive charges (+20 microC each) are to be arranged at the corners of a square of side d = 0.5m. %3D d d a) How much energy is required to assemble these charges in this arrangement? (J) +