The space between two concentric conducting spherical shells of radii b = 1.70 cm and a = 1.00 cm is filled with a substance of dielectric constant κ = 15.1. A potential difference V = 65.0 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 induced along the surface of the inner shell.
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