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A spherical capacitor is constructed from concentric, spherical metal shells, of

ID: 2240223 • Letter: A

Question

A spherical capacitor is constructed from concentric, spherical metal shells, of radii Rin=5.3 cm and Rout=9.9 cm respectively. The gap in between the shells is initially filled with air. A battery is connected to the two shells as shown, establishing a potential difference Vbattery =6.4 kiloVolts between them. As a result, equal and opposite charges +Q and -Q appear on the shells.


increase decrease stay the same first increase, then decrease first decrease, then increase A spherical capacitor is constructed from concentric, spherical metal shells, of radii Rin=5.3 cm and Rout=9.9 cm respectively. The gap in between the shells is initially filled with air. A battery is connected to the two shells as shown, establishing a potential difference Vbattery =6.4 kiloVolts between them. As a result, equal and opposite charges +Q and -Q appear on the shells.

Explanation / Answer

a. potential due to sphericl conductor is V = KQ*(1/Rin -1/Rout)

KQ = 6400 /(1/0.053-0.099)

KQ = 730.017

Q = 730.017/*9e9)

Q = 81.11 nC


b. as Q = CV

and C= KeoA/.d

thus if K increases Capacitance aslo increases hence charge Q also increases

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