A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by § = 3.0 × 105 N·m²/C. What are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell B? (a) B (10° N.m²/C) e 0 s -20, (b)
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- A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux O through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by , = 3.0 × 105 N•m²/C. What are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell B? B -20, (a) (b) (a) Number Units (b) Number i Units (c) Number i Units O (10° N. m²/C)There are two uncharged concentric conducting spherical shells and a separate point charge. The smaller shell has an inner radius of 0.100m and an outer radius of 0.200m. The larger shell has an inner radius of 0.300m and and outer radius of 0.400m. A point charge of +10.0μC is placed between the two shells at a radius of 0.250m from the origin. Determine the net charge on each of the four surfaces (r = 0.1,0.2, 0.3, 0.4) and make a sketch that indicates BOTH the electric field lines and the surface charge densities. (this sketch does not have to be exactly mathematically correct, but use intuition)The total charge on the outer surface of the conducting shell at r = c = 20 cm is
- A particle charge q = 1.6 x 107C is at the center of a spherical cavity of radius 3.3 cm in a chunk of metal. Find the magnitude of the electric field (a) 1.5 cm from the cavity center and (b) anyplace in the metal. (a) Number i Units (b) Number i UnitsA conductor contains a hollow cavity in which there is a +100 nC point charge. A charged rod transfers -50 nC to the conductor. Afterwards, what is the charge a. On the inner wall of the cavity wall, b. On the exterior surface of the conductor?A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.60 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod- (a)
- A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the samecenter. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge isintroduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge wasplaced at the center? Justify your answer using Gauss’ Law. b) How much charge is at the outer surface of the sphere, after the point charge wasplaced at the center? Justify your answer. c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cmfrom the center, after the point charge was placed at the center.Please AsapA hollow sphere of radui R has a uniform nagative surface charge density -\sigma on its surface and a positive point charge +Q at its center. The charge Q is greater than the absolute magnitude of the total charge on the surface. The direction of the E-field is radially outward both inside and outside the sphere. What is the magnitude of the E-field inside the sphere at a distance r<R from the center? What is the magnitude of the E-field outside the sphere at a distance r<R from the center?