Question

In: Physics

A. Consider two concentric spherical structures of radius r1 and r2 such that r1 < r2...

A. Consider two concentric spherical structures of radius r1 and r2 such that r1 < r2 and full load Q and -2Q respectively. Calculate the magnitude of the field on ́ectrico in all three regions, i.e. within the smaller sphere, between the spheres and outside the sphere of the larger radius.
Where does the electric field point to for this system?

(no matter what material these concentric spherical are made of)


B. Two cylindrical coaxial shells with radius r1 and r2 such that r1 < r2 and with linear charge density λ and -λ. Calculate the magnitude of the electric field in the three regions: inside the smaller cylinder, between the cylinders and outside the larger cylinder.
Where does the field on ́ectrico point to for this system?

(no matter what material these cylinders are made of)

Solutions

Expert Solution

-ve sign shows that direction of electric field is inward means towards the sphere.

For other questions submit your questions individually on question and answer board.


Related Solutions

Consider a spherical capacitor consisting of two concentric spherical shells of radii R1 and R2 that...
Consider a spherical capacitor consisting of two concentric spherical shells of radii R1 and R2 that carry surface charge densities of σ0 and –σ0, respectively. The capacitor is filled with a linear but inhomogeneous dielectric whose relative permittivity is a function of distance from the center of the sphere εr = εr (r). (a) If energy density inside the capacitor (R1< r < R2) is constant and εr (R2) = 2, find εr (r). (b) Find the polarization P within...
Two isolated, concentric, conducting spherical shells have radii R1 = 0.470 m and R2 = 1.00...
Two isolated, concentric, conducting spherical shells have radii R1 = 0.470 m and R2 = 1.00 m, uniform charges q1 = +1.50 μC and q2 = +2.00 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r = 4.70 m, (b) r = 0.610 m, and (c) r = 0.220 m? With V = 0 at infinity, what is V at (d) r = 4.70 m, (e) r = 1.00 m, (f)...
Two isolated, concentric, conducting spherical shells have radii R1 = 0.450 m and R2 = 1.50...
Two isolated, concentric, conducting spherical shells have radii R1 = 0.450 m and R2 = 1.50 m, uniform charges q1 = +1.70 μC and q2 = +2.30 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r = 3.40 m, (b) r = 0.840 m, and (c) r = 0.360 m? With V = 0 at infinity, what is V at (d) r = 3.40 m, (e) r = 1.50 m, (f)...
Consider two spherical shells with radii R1 < R2 with the inner shell having the potential...
Consider two spherical shells with radii R1 < R2 with the inner shell having the potential Φ(ϑ)=Φ1×cos^2(ϑ), ϑ being the azimuthal angle in spherical coordinates. The outer shell is metallic and uncharged (Q2 = 0). Calculate the potential Φ(r) on the entire space. Thanks a lot.
A non-conducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume...
A non-conducting spherical shell of inner radius R1 and outer radius R2 contains a uniform volume charge density p through the shell. Use Gauss's Law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of the sphere. Your answer should be in terms of p,R1,R2,r Eo, and pi. a). r < R1 b.) R1 <r<2 c.) r>R2
Two isolated concentric conducting spherical shells have radii R1=0.5 m and R2=1 m, uniform charges q1=+2.0...
Two isolated concentric conducting spherical shells have radii R1=0.5 m and R2=1 m, uniform charges q1=+2.0 μC and q2=+1 μC, and negligible thickness. Assume that V=0 at infinity.​ (a) What is the magnitude of the electric field at a radial distance of r=4 m? (b) What is the magnitude of the electric field at a radial distance of r=0.7 m? (c) What is the magnitude of the electric field at a radial distance of r=0.2 m? (d) What is the...
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is...
A capacitor consists of two concentric spherical shells. The outer radius of the inner shell is a = 0.1 m and the inner radius of the outer shell is b = 0.2 m. a. What is the capacitance, C, of this capacitor? b. Suppose the maximum possible electric field at the outer surface of the inner shell before the air starts to ionize E max(r=a) = 3.0*10^6 V/m . What is the maximum possible charge on the inner capacitor? c....
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
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. Select True or False for the following statements. 1. The total charge on the inner surface of the small shell is -4q. 2. The total charge on the outer surface of the...
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
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 -2q and the outer shell has a total charge of +4q. Select True or False for the following statements. The total charge on the inner surface of the small shell is zero. True False  The total charge on the inner surface of the large...
In Figure, a solid sphere of radius a is concentric with a spherical conducting shell of...
In Figure, a solid sphere of radius a is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 (> 0); the shell has a net charge q2 = -q1.What is the magnitude of the electric field at radial distances (a) r = 0, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f)r = 3.50a?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT