The space between two concentric conducting spherical shells of radii \( b=1.70 \mathrm{~cm} \) ...
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The space between two concentric conducting spherical shells of radii \( b=1.70 \mathrm{~cm} \) and \( a=1.20 \mathrm{~cm} \) is filled with a substance of dielectric constant \( \kappa=6.91 \). A potential difference \( V=73.0 \mathrm{~V} \) is applied across the inner and outer shells. Determine (a) the capacitance of the device, (b) the free charge \( q \) on the inner shell, and (c) the charge \( q^{\prime} \) induced along the surface of the inner shell.
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