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In a circular parallel plate capacitor r...

In a circular parallel plate capacitor radius of each plate is 5 cm and they are separated by a distance of 2mm. Calculate the capacitance and the energy stored. When it is charged by connectig battery of 200 V. (given `epsilon_(0) = 8.854 xx 10^(-12) Fm^(-1)`)

Text Solution

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`A = pi r ^(2) = 7.885 xx 10 ^(-3) m ^(2)`
`C = ( epsi _(0) A )/(d )`
`C = ( 8.854 xx 10 ^(-12) xx 7.855 xx 10 ^(-3))/( 2 xx 10 ^(-3))`
` C = 34. 774 xx 10 ^(-12) F = 34. 774 PF`
`U = 1/2 CV ^(2)`
`U =1/2 xx 34. 774 xx 10 ^(-12) xx 200 ^(2)`
`U = 6. 954 xx 10 ^(-7) J`
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