Question

In: Physics

A charge of +1.00 millicoulomb is evenly sprayed over the surface of an insulating sphere of...

  • A charge of +1.00 millicoulomb is evenly sprayed over the surface of an insulating sphere of radius 10 cm whose center is at position -1.00 m i . A point charge of

+1.00 millicoulomb is at position +1.00 m i . A point charge of -1.00 millicoulomb

is at the origin. What is the ratio of the magnitude of the electrostatic force due to the conducting sphere on the negative charge to the magnitude of the electric force due to

the positive point charge on the negative charge?

  • What is the resultant electrostatic force on the negative point charge in (1)?
  • What is the resultant electrostatic force on the positive point charge in (1)?
  • What is the electric field at the center of the sphere in (1)?

Solutions

Expert Solution


Related Solutions

A sphere of radius a is made out of insulating material and has a charge uniformly...
A sphere of radius a is made out of insulating material and has a charge uniformly distributed throughout its volume. (a) What is the electric field inside the sphere? (b) What is the electric field outside the sphere? (c) How do your answers change if a thin spherical shell of radius b, where b >a, is added to the system and contains a charge −Q uniformly distributed on its surface?
2. A solid insulating sphere with a radius ? = 12 ?? has a volume charge...
2. A solid insulating sphere with a radius ? = 12 ?? has a volume charge density which varies with radial distance ? as given by ? = 4 × 103 ?0 (1 + ? ? ) ?/?3 . Calculate the electric field magnitude at ? = 2? by using Gauss’s Law. (?0 = 8.85 × 10−12 ? 2/??2 )
An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the...
An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the center of a thin shell spherical with radius R2 and surface charge density uniform σ2. Here are the known parameters: R1 = 0.2 m R2 = 0.6 m ρ1 = 6 µC / m3 E = 0 everywhere outside the thin shell a) Using the Gauss theorem, calculate the value of the parameter σ2 in nC / m2 . b) Using the Gauss theorem,...
Shown is a uniformly charged inner insulating sphere with radius a and with charge density given...
Shown is a uniformly charged inner insulating sphere with radius a and with charge density given by ρ = ρ0(r3/a3). Outside of it is a conducting shell of inner radius b and outer radius c. This spherical shell also has double the charge of the inner non-conducting sphere. (So, if the inner sphere had charge “+Q”, the outer shell has charge “+2Q”.) The space between the sphere and the shell is empty. a) Describe/draw the charge distribution on the outer...
A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed...
A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed on it, uniformly distributed throughout its volume. Surrounding the sphere is a spherical conducting shell with inner radius 2R and outer radius 3R and has a charge of −2Q placed on it. The sphere and the shell share the same center. 1A: Determine the magnitude of the electric field, E(r), where r is the distance from the center of the sphere 1B: Determine the...
An insulating sphere of radius a has charge density ρ(r) = ρ0r2, where ρ0 is a...
An insulating sphere of radius a has charge density ρ(r) = ρ0r2, where ρ0 is a constant with appropriate units. The total charge on the sphere is -3q. Concentric with the insulating sphere is a conducting spherical shell with inner radius b > a and outer radius  The total charge on the shell is +2q. Determine (a) The magnitude of electric field at the following locations: (i) r < a; ii) a < r < b; (iii) b < r <...
An insulating sphere is 8.00cm in diameter and carries a 5.58uC charge uniformly distributed throughout its...
An insulating sphere is 8.00cm in diameter and carries a 5.58uC charge uniformly distributed throughout its interior volume. Calculate the charge enclosed by a concentric spherical surface with radius r = 1.62cm. 3.71
Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge...
Consider a solid, insulating sphere of radius a = 5.00 cm carrying a net positive charge of Q = 3.00 μC uniformly distributed throughout its volume. Concentric with this sphere is a hollow, conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm having a net negative charge of q = -1.00 μC. a) Give the expression from Gauss’s Law for the magnitude of electric field inside the insulating sphere for 0 ≤...
A metal sphere carrying an evenly distributed charge will have spherical equipotential surfaces surrounding it. Suppose...
A metal sphere carrying an evenly distributed charge will have spherical equipotential surfaces surrounding it. Suppose the sphere❝s radius is 52.5cm and it carries a total charge of +1.45μC . A) Calculate the potential of the sphere❝s surface.(with the appropriate) B) You want to draw equipotential surfaces at intervals of 500 V outside the sphere❝s surface. Calculate the distance between the first and the second equipotential surfaces, and between the 20th and 21st equipotential surfaces.
1) An insulating sphere with radius R has a uniform positive volume charge density of ρ....
1) An insulating sphere with radius R has a uniform positive volume charge density of ρ. A solid metallic shell with inner radius R and outer radius 2R has zero total charge. [Express your answers for parts (a-d) using ρ, R, and constants] (a) What is the magnitude of the electric field at a distance ? = 3? away from the center? (b) Assuming the potential at infinity is 0. What is the potential at the outer surface (? =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT