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A: Mass of proton = 1.67×10-27 kg Initial speed of proton = 3×105 m/s F=αx2 α=2.12×10-26 N.m2
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- Recall that in the example of a uniform charged sphere, p0=Q/(43R3). Rewrite the answers in terms of the total charge Q on the sphere.Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.Charge is distributed throughout a spherical shell of inner radius r1 and outer radius r2 with a volume density given by p=p0r1/r , where p0 is a constant. Determine the electric field due to this charge as a function of r, the distance from the center of the shell.
- A long copper cylindrical shell of inner radius 2 cm and outer radius 3 cm surrounds concentrically a charged long aluminum rod of radius 1 cm with a charge density of 4 pC/m. All charges on the aluminum rod reside at its surface. The inner surface of the copper shell has exactly charge to that of the aluminum rod while the outer surface of the copper shell has the same charge as the aluminum rod. Find the magnitude and direction of the electric field at points that are at the following distances from the center of the aluminum rod: (a) 0.5 cm, (b) 1.5 cm, (c) 2.5 cm, (d) 3.5 cm, and (e) 7 cm.A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius 3.5 cm and outer radius 4.0 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 8.0 N/C. (a) What is the charge density on the inner surface of the shell? (b) What is the charge density on the outer surface of the shell? (c) What is the net charge on the conductor?Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?
- A charge is distributed over a spherical body of radius R so that the density of the volumetric charge at any point of this space follows the relationship p = kr^alpha where k and alpha is constant and r is after %3D the point from the center of this spherical space. Find the value of E at any point where is rA charge -300e is uniformly distributed along a circular arc of radius 4.00 cm, which subtends an angle of 40o.What is the linear charge density along the arc? (b) A charge 300e is uniformly distributed over one face of a circular disk of radius 2.00 cm. What is the surface charge density over that face? (c) A charge -300e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -300e is uniformly spread through the volume of a sphere of radius 2.00 cm. What is the volume charge density in that sphere?Problem Using the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at x0 distance from its center? (Consider that the surface of the plate lies in the yz plane)Density, density, density. (a) A charge -328e is uniformly distributed along a circular arc of radius 6.00 cm, which subtends an angle of 72°. What is the linear charge density along the arc? (b) A charge -328e is uniformly distributed over one face of a circular disk of radius 3.50 cm. What is the surface charge density over that face? (c) A charge -328e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -328e is uniformly spread through the volume of a sphere of radius 3.30 cm. What is the volume charge density in that sphere? (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsDensity, density, density. (a) A charge -352e is uniformly distributed along a circular arc of radius 4.10 cm, which subtends an angle of 65o. What is the linear charge density along the arc? (b) A charge -352e is uniformly distributed over one face of a circular disk of radius 2.40 cm. What is the surface charge density over that face? (c) A charge -352e is uniformly distributed over the surface of a sphere of radius 5.20 cm. What is the surface charge density over that surface? (d) A charge -352e is uniformly spread through the volume of a sphere of radius 3.10 cm. What is the volume charge density in that sphere?A long straight wire has fixed negative charge with a linear charge density of magnitude 4.8 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 1.2 cm. The shell is to have positive charge on its outside surface with a surface charge densitys that makes the net external electric field is zero. Calculate s.SEE MORE QUESTIONS