A solid conducting sphere with radius R carries a positive total charge Q . The sphere is surrounded by an insulating shell with inner radius R and outer radius 2 R . The insulating shell has a uniform charge density ρ . (a) Find the value of ρ so that the net charge of the entire system is zero. (b) If ρ has the value found in part (a), find the electric field E → (magnitude and direction) in each of the regions 0 < r < R , R < r < 2 R , and r > 2 R . Graph the radial component of E → as a function of r . (c) As a general rule, the electric field is discontinuous only at locations where there is a thin sheet of charge. Explain how your results in part (b) agree with this rule.
A solid conducting sphere with radius R carries a positive total charge Q . The sphere is surrounded by an insulating shell with inner radius R and outer radius 2 R . The insulating shell has a uniform charge density ρ . (a) Find the value of ρ so that the net charge of the entire system is zero. (b) If ρ has the value found in part (a), find the electric field E → (magnitude and direction) in each of the regions 0 < r < R , R < r < 2 R , and r > 2 R . Graph the radial component of E → as a function of r . (c) As a general rule, the electric field is discontinuous only at locations where there is a thin sheet of charge. Explain how your results in part (b) agree with this rule.
A solid conducting sphere with radius R carries a positive total charge Q. The sphere is surrounded by an insulating shell with inner radius R and outer radius 2R. The insulating shell has a uniform charge density ρ. (a) Find the value of ρ so that the net charge of the entire system is zero. (b) If ρ has the value found in part (a), find the electric field
E
→
(magnitude and direction) in each of the regions 0 < r < R, R < r < 2R, and r > 2R. Graph the radial component of
E
→
as a function of r. (c) As a general rule, the electric field is discontinuous only at locations where there is a thin sheet of charge. Explain how your results in part (b) agree with this rule.
There is a thick wall that extends infinitely in the yz plane. The wall is made of insulating material and has a thickness of D in the x direction. The wall has a charge density of +ρ. At an arbitrary distance x (where x is less than half of D), we need to find the magnitude of the electric field inside the wall.
Charge of a uniform density (7 pC/m2) is distributed over the entire xy plane. A charge of uniform density (10 pC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.
A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 3?. A second such plate located at z = 2.40 cm and oriented parallel to the xy-plane carries a charge per unit area of −2?. Find the electric field for the following.
(a) when z<0
(b) when 0 < z < 2.40 cm
(c) when z > 2.40 cm
Chapter 22 Solutions
University Physics with Modern Physics (14th Edition)
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