Homework Answers
4.
(Since the electric field is zero inside a metal, considering a
spherical Gaussian surface(concentric to the shell) and applying
the Gauss' law, we find that the charge on the inner surface of the
shell should be -3.0 C.)
5.
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A point charge q+3.0 C is floating inside a hollow conducting shell. The shell itself has...
A spherical conducting shell with no net charge on it has a point charge q on...
A spherical conducting shell with no net charge on it has a point charge q on its center. a.) What is the surface charge density on its inner surface (r=a), and what's the surface charge density on its outer surface (r=b)? b.) If charge Q' is added to the conducting shell, what are the new charge densities on the inner and outer surfaces? Please show all work!!!
A point charge Q = + 310.0*10^-3 C is located at the center of a hollow...
A point charge Q = + 310.0*10^-3 C is located at the center of a hollow conducting sphere of inner radius r= 0.6 m and outer radius R = 1.20 m. The net charge on the entire outer conducting shell is zero. What is the charge density on the inner surface of the conducting shell? Please show the work as to how the answer is -6.8525*10^-2 C/m^2
Using the method of images, discuss the problem of a point charge q inside a hollow,...
Using the method of images, discuss the problem of a point
charge q inside a hollow, grounded, conducting sphere of inner
radius a. Find,
a) the potential inside the sphere;
b) the induced surface-charge density;
c) the magnitude and direction of the force acting on q.
d) Is there any change in the solution if the sphere is kept at
a fixed potential V? If the sphere has a total charge Q on its
inner and outer surfaces?
Using the...
A small, solid conducting sphere of radius r1 sits inside a hollow conducting spherical shell of...
A small, solid conducting sphere of radius r1 sits inside a hollow conducting spherical shell of inner radius r2 and outer radius r3. A potential difference of magnitude V is placed across the inner and outer conductors so that there is a net charge of -Q on the inner conductor and +Q on the outer conductor. Suppose a thin but finite thickness conducting shell was placed between the sphere and the outer shell. This extra shell is electrically isolated. Would...
Figure 27.33 shows a charge (+ q) on a uniform conducting hollow sphere of radius a...
Figure 27.33 shows a charge (+ q) on a uniform conducting hollow sphere of radius a and placed at the center of a conducting spherical shell of inner radius b and outer radius c. The outer spherical shell carries a charge (- q). What is the charge on the outer surface (c) of the shell. Use Gauss' law to find E(r) at positions: within the conducting spherical (r < a); between the sphere and the shell (a<r< b); inside the...
A point charge is located at the center of a thin spherical conducting shell of inner...
A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r and r2, respectively. A second thin spherical conducting shell of inner and outer radiR1 and R2. respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement. Φ 10.1 103 N·m2/C for r < r o for 2 Ф-38.7 x 103 N-m2/C forpsrcR1 Φ_Ofor R1 < r < R2 p -38.7 x...
A conducting spherical shell of inner radius R1 and outer radius R2 has a point charge +q fixed at its center
A conducting spherical shell of inner radius R1 and outer radius R2 has a point charge +q fixed at its center. The spherical shell has a net charge of +aq.Part (a) Enter an expression for the surface charge density on the inner surface of the spherical shell using the variables provided. Part (b) Enter an expression for the surface charge density on the outer surface of the spherical shell using the variables provided. Part (c) The electric field at the surface points...
A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-μC point charge placed at its center.
Part A A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-μC point charge placed at its center. (a) Find the surface charge density on the inner surface of the shell. Part B (b) Find the surface charge density on the outer surface of the shell.
A point charge -Q is at the center of a spherical conducting shell of inner radius...
A point charge -Q is at the center of a spherical conducting shell of inner radius R1 and outer radius R2 as shown in the figure below. For the configuration shown, What is the charge on the outer surface of the shell?
Problem 4-A point charge q 9.0 nC is placed inside a spherical shell made of metal,...
Problem 4-A point charge q 9.0 nC is placed inside a spherical shell made of metal, of inner radius a 3.0 m and outer radius b -5.0 m, that is charged with qp-6.0 nC. Find the electric field (magnitude and direction) at a distance (a) r 1.5 m (b) r2 4.0 m from the center. (c) Find the charges on the inner and outer surfaces of the spherical shell
Using the method of images, discuss the problem of a point
charge q inside a hollow, grounded, conducting sphere of inner
radius a. Find,
a) the potential inside the sphere;
b) the induced surface-charge density;
c) the magnitude and direction of the force acting on q.
d) Is there any change in the solution if the sphere is kept at
a fixed potential V? If the sphere has a total charge Q on its
inner and outer surfaces?
Using the...
A small, solid conducting sphere of radius r1 sits inside a hollow conducting spherical shell of inner radius r2 and outer radius r3. A potential difference of magnitude V is placed across the inner and outer conductors so that there is a net charge of -Q on the inner conductor and +Q on the outer conductor. Suppose a thin but finite thickness conducting shell was placed between the sphere and the outer shell. This extra shell is electrically isolated. Would...
Figure 27.33 shows a charge (+ q) on a uniform conducting hollow sphere of radius a and placed at the center of a conducting spherical shell of inner radius b and outer radius c. The outer spherical shell carries a charge (- q). What is the charge on the outer surface (c) of the shell. Use Gauss' law to find E(r) at positions: within the conducting spherical (r < a); between the sphere and the shell (a<r< b); inside the...
A point charge is located at the center of a thin spherical conducting shell of inner and outer radii r and r2, respectively. A second thin spherical conducting shell of inner and outer radiR1 and R2. respectively, is concentric with the first shell. The flux is as follows for the different regions of this arrangement. Φ 10.1 103 N·m2/C for r < r o for 2 Ф-38.7 x 103 N-m2/C forpsrcR1 Φ_Ofor R1 < r < R2 p -38.7 x...
Problem 4-A point charge q 9.0 nC is placed inside a spherical shell made of metal, of inner radius a 3.0 m and outer radius b -5.0 m, that is charged with qp-6.0 nC. Find the electric field (magnitude and direction) at a distance (a) r 1.5 m (b) r2 4.0 m from the center. (c) Find the charges on the inner and outer surfaces of the spherical shell
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