Two concentric spherical shells of diameter 14.2 cm and 27.0 cm are used to form a spherical capacitor. The charges on the inner and outer shells are -3.00 ?C and +3.00 ?C, respectively. (a) Determine the potential difference from the inner to the outer shell. Use the fact that the magnitude of the electric field at a distance r from the center of the inner shell is given by E = kQ/r², where k is Coulomb's constant and Q is the charge on the shell. kV (b) If the space between the two shells is filled with air, determine the capacitance. pF
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Since the diameters are given, we can find the radii by dividing the diameters by 2: $r_1 = \frac{14.2}{2} = 7.1 \,\text{cm} = 0.071 \,\text{m}$ $r_2 = \frac{27.0}{2} = 13.5 \,\text{cm} = 0.135 \,\text{m}$ (a) Show more…
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