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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