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Two square metallic plates of 1m side ar...

Two square metallic plates of `1m` side are kept `0.01m` apart, like a parallel plate capacitor, in air in such a way that one of their edges is perendicular, to an oil surface in a tank filled with an isulating oil. The plates are connected to a battery of e.m.f. `500` volt. The plates are then lowered vertically into the oil at a speed of `0.001 m//s`. Calculate the current drawn from the battery during the process.
[di-electirc constant of oil `= 11, in_(0) = 8.85 xx 10^(-12) C^(2)//N^(2)m^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
`4.425 xx 10^(-9)` Ampere
`C = (in_(0)(1-x.1))/(d) +(Kin_(0)x)/(d)`
`C = (in_(0))/(d) (1-x+Kx)`
`C = (in_(0))/(d) (1+(K-1)x)`

`(dC)/(dt) = (in_(0))/(d) (K-1)v`
`= (8.85 xx 10^(-12))/(.01) xx (11-1) xx 0.001`
`= 8.85 xx 10^(-12) ....(1)`
`Q = CV`
`I = V.(dC)/(dt) ...(2)`
From (1) & (2)
`I = 500 xx 8.85 xx 10^(-2) = 44.25 xx10^(-10)`
`=4.425 xx 10^(-9) Amp`
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