An air-filled sphericalcapacitor is constructed with inner and outer shell radii

Question

An air-filled sphericalcapacitor is constructed with inner and outer shell radii of2.8cm and 15.5 cm, respectively. The Coulomb constant is8.98755 ×109N · m2/C2.

a) Calculate the capacitance of the device. Answer in unitsof pF.
b) What potential difference between the spheres results in acharge of 9.5 C on the capacitor? Answerin units of kV. An air-filled sphericalcapacitor is constructed with inner and outer shell radii of2.8cm and 15.5 cm, respectively. The Coulomb constant is8.98755 ×109N · m2/C2.

a) Calculate the capacitance of the device. Answer in unitsof pF.
b) What potential difference between the spheres results in acharge of 9.5 C on the capacitor? Answerin units of kV.

Explanation / Answer

Capacitance C = 4 o / [ ( 1/ a ) - ( 1/ b ) ] where o = permitivity of free space = 8.85 *10 ^ -12 C ^ 2 / N m ^ 2           a =inner radius = 2.8 cm = 0.028 m           b =outer radius = 15.5 cm = 0.155 m substitue values we get answer (b).Charge q = 9.5 * 10 ^ -6 C Potential difference V = q / C substitue values we get answers

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