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

ID: 1291155 • 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.

I NEED THE ANSWER IN MICRO COLOUMBS. NOTE THAT 0.0811 uc is the wrong answer

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. capacitor.png I NEED THE ANSWER IN MICRO COLOUMBS. NOTE THAT 0.0811 uc is the wrong answer

Explanation / Answer

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

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