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A coil has an inductance of 1 henry. (a) At what frequency will it have a reactance of 3142 ohm? (b) What should be the capacity of a condenser which has the same reactanc at frequency ? |
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Answer» Here, `L = 1` henry, `v = ?` As `X_(L) = omega L = 2 pi v L` `:.v = (X_(L))/(2 pi L) = (3142)/(2 xx 3142 xx 1) = 500` hertz (b) `C = ? V = 500` hertz, `X_(C) = X_(L) = 3142 ohm` As `X_(C ) = (1)/(omega C) = (1)/(2 pi v C)` `:. C = (1)/(2 pi v X_(C )) = (1)/(2 xx 3.142 xx 500 xx 3142)` `= (10^(-6))/((3.142)^(2))` farad `= 0.11 mu F` |
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