Question

1. Consider two concentric conducting spherical shells. Inner shell carries an excess charge of +2 µC and outer shell carries +4 µC. 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. $\epsilon_0 = 8.85 \times 10^{-12} \frac{C^2}{N \cdot m^2}$ f) Find the magnitude of electric field, $E(r)$, for $r > d$ by constructing spherical Gaussian surface of the region. $\epsilon_0 = 8.85 \times 10^{-12} \frac{C^2}{N \cdot m^2}$ g) Which figure shows a qualitatively accurate sketch of the electric field lines in and around this system?

          1. Consider two concentric conducting spherical shells. Inner shell carries an excess charge
of +2 µC and outer shell carries +4 µC. 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. $\epsilon_0 = 8.85 \times 10^{-12} \frac{C^2}{N \cdot m^2}$
f) Find the magnitude of electric field, $E(r)$, for $r > d$ by constructing spherical Gaussian
surface of the region. $\epsilon_0 = 8.85 \times 10^{-12} \frac{C^2}{N \cdot m^2}$
g) Which figure shows a qualitatively accurate sketch of the electric field lines in and around
this system?

1. Consider two concentric conducting spherical shells. Inner shell carries an excess charge
of +2 µC and outer shell carries +4 µC. 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. ϵ0 = 8.85 × 10^-12(C^2)/(N · m^2)
f) Find the magnitude of electric field, E(r), for r > d by constructing spherical Gaussian
surface of the region. ϵ0 = 8.85 × 10^-12(C^2)/(N · m^2)
g) Which figure shows a qualitatively accurate sketch of the electric field lines in and around
this system?

Added by Thomas W.

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