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4. Consider two concentric conducting spherical shells. Inner shell carries an excess charge of +2? C and outer shell carries +4? C. In the figure, the inner shell has an inner radius of a and an outer radius of b, and the outer shell has an inner radius of c and an outer radius of d. a) What are the excess charges on the inner surface of small shell at r=a from the center? b) What are the excess charges on the outer surface of small shell at r=b from the center? c) What are the excess charges on the inner surface of large shell at r=c from the center? d) What are the excess charges on the outer surface of large shell at r=d from the center? e) Find the magnitude of electric field, E(r), for the radius b < r < c by constructing spherical Gaussian surface of the region. ?0 = 8.85 × 10?12 C²/N·m² f) Find the magnitude of electric field, E(r), for r > d by constructing spherical Gaussian surface of the region. g) Which figure shows a qualitatively accurate sketch of the electric field lines in and around this system?

          4. Consider two concentric conducting spherical shells. Inner shell carries an excess charge of +2? C and outer shell carries +4? C. In the figure, the inner shell has an inner radius of a and an outer radius of b, and the outer shell has an inner radius of c and an outer radius of d.

a) What are the excess charges on the inner surface of small shell at r=a from the center?
b) What are the excess charges on the outer surface of small shell at r=b from the center?
c) What are the excess charges on the inner surface of large shell at r=c from the center?
d) What are the excess charges on the outer surface of large shell at r=d from the center?
e) Find the magnitude of electric field, E(r), for the radius b < r < c by constructing spherical Gaussian surface of the region. ?0 = 8.85 × 10?12 C²/N·m²

f) Find the magnitude of electric field, E(r), for r > d by constructing spherical Gaussian surface of the region.

g) Which figure shows a qualitatively accurate sketch of the electric field lines in and around this system?

4. Consider two concentric conducting spherical shells. Inner shell carries an excess charge of +2? C and outer shell carries +4? C. In the figure, the inner shell has an inner radius of a and an outer radius of b, and the outer shell has an inner radius of c and an outer radius of d.

a) What are the excess charges on the inner surface of small shell at r=a from the center?
b) What are the excess charges on the outer surface of small shell at r=b from the center?
c) What are the excess charges on the inner surface of large shell at r=c from the center?
d) What are the excess charges on the outer surface of large shell at r=d from the center?
e) Find the magnitude of electric field, E(r), for the radius b < r < c by constructing spherical Gaussian surface of the region. ?0 = 8.85 × 10?12 C²/N·m²

f) Find the magnitude of electric field, E(r), for r > d by constructing spherical Gaussian surface of the region.

g) Which figure shows a qualitatively accurate sketch of the electric field lines in and around this system?

Added by Lu-S S.

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