(a) Find the charge density (in nC/m²) on the surface of the right face of t plate. nC/m² (b) Find the charge density (in nC/m2) on the surface of the left face of the plate. nC/m2 (e) Find the magnitude (in nC) of the charge on either face of the plate.
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- If a solid conducting sphere of radius 50.0 cm carries a total charge of 150 nC uniformly distributed throughout its volume. Find the (a) charge density of the sphere and (b) the magnitude of the electric field at r = 10 cm.The electric field at a distance of 0.154 m from the surface of an insulating solid sphere of radius 0.385 m is 1970 N/C. Assuming that the charge on the sphere is uniformly distributed, a) what is the charge density within it? b) Calculate the electric field inside the sphere at a distance of 0.150 m from the center.A square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. (b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.
- A thin, square, conducting plate 49.0 cm on a side lies in the xy plane. A total charge of 3.70 x 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m² (b) Find the electric field just above the plate. magnitude N/C direction -Select--- ✓ (c) Find the electric field just below the plate. magnitude N/C direction -Select--- ✓Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. A)Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.___________C2 narrow, flat metal plates are positioned vertically, 20.00 cm. The first plate has a positive charge with charge density σ=+630.0 mC/m2 and a second plate has an equal but opposite negative charge with charge density σ=-6300.0 mC/m2 . There are also two narrow, flat metal plates positioned horizontally, 30.00 cm apart, with the top plate given a negative charge, and the bottom plate given an equal but opposite positive charge, such that the electric potential of the bottom plate is 5.00 V higher than the top plate. A small sphere with a mass of m =64.35 g, and a charge of q =22.00 mC is attached to a narrow, stiff, massless, insulating rod with a length of L= 8.00 cm, which is pivoted at point O, which is 2.000 cm from the second plate. The sphere/rod unit is angled at 5 degrees with horizontal and released from rest. Will the sphere/rod ever hit an angle of 0 degrees with the horizontal? If so, how long will it take to reach that point?
- A square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.A charge q = +3.05 ?C is located at the center of a regular tetrahedron (a four-sided surface) as in figure below. (a) Find the magnitude of the total electric flux through the tetrahedron. Answer in N · m2/C (b) Find the magnitude of the electric flux through one face of the tetrahedron. Answer in N · m2/CA penny is in an external electric field of magnitude 2.5 kN/C directed perpendicular to its faces. (a) Find the charge density on each face of the penny, assuming the faces are planes. nc/m2 (b) If the radius of the penny is 1 cm, find the total charge on one face. pC
- Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 3.00×10-2 m. The charge density is 4.00×10-2 C/ m3. a)What is the electric field at r = 1.50×10-2 m? b)What is the electric field at r = 6.00×10-2 m?Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.8 nC/m² everywhere on its surface. Cylinder (b) carries charge with uniform density 15.8 nC/m² on its curved lateral surface only. Cylinder (c) carries charge with uniform density 525 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.