a) Since Q3= -3Q , This charge is the result of induction of charge +3Q on the inner surface. Thus Q2= +3Q.
Now Q2= +3Q again is the result of induction of charge -3Q on the solid sphere.
Thus Q1= -3Q
b) Though the shell has negative charge on outer surface and positive charge on inner surface, it’s actually neutral. So when a metal wire is connected half of the charge will withdrawn from the solid sphere and get into the shell. Thus both have equal charge = Q’= -3Q/2 = -1.5Q
Consider a neutral metallic spherical shell with outer radius 3R and inner radius 2R. A said...
2. (40p)A conductive spherical shell of inner radius 2R and outer radius 3R is caries a net charge -3Q. The total charge of an insulating sphere with a radius R of the same center as the spherical shell is + 20. Using Gauss' law find the electrical field in the regions; a. r<R b. R<r <2R c. 2R<r <3R d. r > 3R >
P10.(a) A neutral spherical conducting shell of inner radius 12 cm and outer radius 15 cm has a charge of -3.9 nC placed inside (but not at the center). Compute all of the following that can be determined. If the quantity cannot be determined, explain why (a) The charge on the inner surface. (b) The charge density on the inner surface. (c) The charge on the outer surface. (d) The charge density on the outer surface
P8. Suppose a neutral spherical conducting shell has an inner radius of 10.0 cm and an outer radius of 15.0 cm. A charge of +4.50 μC is placed at the center of the shell. Calculate the charge densities on the inner and outer surfaces of the shell
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +3q. The total charge on the inner surface of the large shell is zero. The total charge on the inner surface of the small shell is -1q. The radial component of the electric field in the region...
A perfectly conducting spherical shell has an inner radius a and an outer radius b as shown below. The region r< a is hollow. The entire shell has a net charge of Q IC] on it because it has been stuck by lightning. Determine the electric field vector in all three regions: r<a, a< r b, and r > b. Determine the surface charge densities po and po on the two metal surfaces. Explain how this problem illustrates the Faraday...
Consider a spherical shell with inner radius a and outer radius b. A charge density σ A cos(9) is glued over the outer surface of the shell, while the potential at the inner surface of the shell is V (8) Vo cos(0). Find electric potential inside the spherical shell, a<r<b.
A small conducting spherical shell with inner radius a and outer radius bis concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of-2g and the outer shell has a total charge of +3q. Select True or False for the following statements True The total charge on the inner surface of the large shell is zero. True The total charge on the outer surface of the large shell...
A solid metallic spherical crust with an inner radius of 8 cm and an outer radius of 15 cm has an electric charge of +5 microcoulombs. The solid metallic spherical crust is found within another larger solid metal crust with an inner radius of 20 cm and an outer radius of 25 cm. Both spherical rinds are concentric. a) What is the electrical charge on the inner wall of the larger crust? b) What is the electric field on the...
A hollow insulating spherical shell of inner radius R0 and outer radius R1 is positively charged with a charge density of p(r) = p0(1 – (r/R1)3). A positive charge +Q is placed in the center of the hollow sphere and a concentric grounded conducting shell with inner radius R2 and outer radius R3 surrounds the hollow sphere. (The conducting shell was neutral before it is grounded.) (a) What is the total charge on the insulating sphere? (b) What charges are on the...
2. Given a spherical dielectric shell (inner radius a, outer radius b, dielectric constant K) and a point charge Q, which is infinitely separated from the shell. Now let Q be placed at the center of the shell. Determine the change in the energy of the system (Hint: the induced charge densities σα and ơb due to the centered Q on the inner and outer surfaces are-(Q/4 a 2)(K-1)/K] and +(Q/4 b2)(K-1)/ki, respectively.) 2. Given a spherical dielectric shell (inner...