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

ID: 1291144 • 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.

Calculate the magnitude of the charge Q on the shells in microCoulombs.

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.

Calculate the magnitude of the charge Q on the shells in microCoulombs.


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 ½Q appear on the shells. Calculate the magnitude of the charge Q on the shells in microCoulombs.

Explanation / Answer

Potential due to spherical conductor

V=KQ*(1/Rin-1/Rout)

6400 =(9*109)*Q*(1/0.053 -1/0.099)

Q=8.11*10-8 C or 81.1 nC

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