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Numerical · Q25

Q.Find

(a) the capacitance of an isolated conducting sphere of radius 9 cm9\ \text{cm} in air, and
(b) the capacitance of a spherical capacitor formed by two concentric conducting shells of radii 6 cm6\ \text{cm} and 9 cm9\ \text{cm}.
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  1. Isolated sphere, R=0.09 mR=0.09\ \text{m}:

    C=Rk=0.099×109=1×10−11 F=10 pFC = \frac{R}{k} = \frac{0.09}{9\times 10^9} = 1\times 10^{-11}\ \text{F} = 10\ \text{pF}

  2. Concentric spherical capacitor, a=0.06 ma=0.06\ \text{m}, b=0.09 mb=0.09\ \text{m}: …

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