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5. A conducting sphere carrying a charge O is surrounded by a spherical conducting shell. a....
spherical shell inner sphere A sphere (carrying charge -3q) is surrounded by a spherical shell (carrying charge +a). Which statement is correct? The electric field in between the sphere and the shell is equal to O The electric field in between the sphere and the shell does not depend on the charge of the spherical shell. The electric field outside of the spherical shell is equivalent to the electric field for a point charge of -2q a) and c) b)...
A small charged conducting sphere with q = -25.0 x 10-12C and radius 5 mm is placed at the centre of a spherical conducting shell of inner radius 5.00 cm and outer radius 6.00 cm. The spherical shell has zero net charge. (a) What is the electric field between the inner and outer surfaces of the spherical shell? (b) What is the surface charge density on the inner surface of the shell? (c) What is the surface charge density on the outer surface...
A solid sphere of radius (a = 3.00 cm) is concentric with a spherical conducting shell of inner radius (b = 2.00 cm) and outer radius (c = 2.40 cm) . The space between the sphere and the inner surface of the shell is empty. The sphere, made of a dielectric, has a net uniform charge of (q1 = +5 micro Coulombs). The shell has a net charge (q2 = - q1) . 1) What is the magnitude of 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...
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1; the bounding surfaces are concentric spheres of radii a, b, and c. Suppose that the inner conductor has charge Q, and the outer conductor has charge Q2. a) What are the electric fields in the (i) r>c, (ii) b<r<c, (iii) a<r<b, and (iv) r<a regions? [10 marks] b) Find the electric potentials (i) on the outer shell and (ii) on the inner conductor. [10...
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 uniformly charged non-conducting sphere of radius a is placed at the center of a spherical conducting shell of inner radius b and outer radius c. A charge +Q is distributed uniformly throughout the inner sphere. The outer shell has charge -Q. Using Gauss' Law: a) Determine the electric field in the region r< a b) Determine the electric field in the region a < r < b c) Determine the electric field in the region r > c d)...
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 total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
Problem 2. A sma charged conducting sphere with 25.0 x 10-12C and radius 5 mm is placed at the centre of a spherical conducting shell of inner radius 5.00 cm and outer radius 6.00 cm. The spherical shell has zero net charge. (a) What is the electric field between the inner and outer surfaces of the spherical shell ? (b) What is the surface charge density on the inner surface of the shell? (c) What is the surface charge density...