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

Question

A spherical capacitor is constructed from concentric, spherical metal shells, of radii Rin=4.5 cm and Rout=10.3 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 ?V battery = 7.5 kiloVolts between them. As a result, equal and opposite charges +Q and A spherical capacitor is constructed from concentric, spherical metal shells, of radii Rin=4.5 cm and Rout=10.3 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 ?V battery = 7.5 kiloVolts between them. As a result, equal and opposite charges +Q and A spherical capacitor is constructed from concentric, spherical metal shells, of radii Rin=4.5 cm and Rout=10.3 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? V battery = 7.5 kiloVolts between them. As a result, equal and opposite charges +Q and -Q appear on the shells.

Explanation / Answer

Vin - Vout = k*Q/Rin - k*Q/Rout

7.5*10^3 = Q*(K/Rin - K/Rpot)

7.5*10^3 = Q*(K*(Rout - Rin)/(Rin*Rout) )


Q = 7.5*10^3*Rin*Rout/(k*(Rout-Rin))

Q = 7.5*10^3*4.5*10.3*10^-4/(9*10^9*(10.3-4.5)*10^-2)

Q = 6.659*10^-8 C

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