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Three identical metal plates each of are...

Three identical metal plates each of area 'A' are arranged parallel to each other. 'd' is the distance between the plates as shown. A battery of 'V' volts is connected as shown. The charge stored in the system of plates is

Text Solution

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Area of each plate = A distance between two plates = d
capacity of each, parallel plate capacitor,
`C = (epsilon_(0) A)/(d)`
two capacitors are connected in parallel as shown in figure
Equivalent capacity of two capacitors connected in parallel, `C_(P) = 2C = (2 epsilon_(0) A)/(d)`
Charge stored in the system of plates
`q = C_(P) V = (2 epsilon_(0) A)/(d) V`
`:. q = (2 A epsilon_(0) v)/(d)`
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