Two thin hollow concentric spheres are shown below. The inner sphere, S1, has a radius of R1 and a total charge of -Q. The outer sphere has a radius of R2 and a total charge of +Q. a.) Using Gauss’s Law, describe the electric field inside the inner sphere. (Hint: draw a surface inside the inner sphere and apply Gauss’s Law). b.) Using Gauss’s Law, describe the electric field outside the outer sphere. (Hint: draw a surface outside the outer sphere and apply Gauss’s Law). c.) Sketch the electric field lines for this system.
Two thin hollow concentric spheres are shown below. The inner sphere, S1, has a radius of R1 and a
total charge of -Q. The outer sphere has a radius of R2 and a total charge of +Q.
a.) Using Gauss’s Law, describe the electric field inside the inner sphere. (Hint: draw a surface inside the
inner sphere and apply Gauss’s Law).
b.) Using Gauss’s Law, describe the electric field outside the outer sphere. (Hint: draw a surface outside
the outer sphere and apply Gauss’s Law).
c.) Sketch the electric field lines for this system.
d.) What Gaussian surface can we draw in the space between the two spheres, whose area vector will
be parallel or perpendicular to the electric field lines?
e.) Use Gauss’s law to create a formula for the electric field for this system. Your answer should be a
piecewise function, indicating the electric field inside the inner sphere, between the spheres, and
outside the outer sphere.
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