1.

A 100 Omega resistance and a capacitor of 100 Omega reactance are connected in series across a 220 V source.When the capacitor is 50% charged, the peak value of the displacement current is: (a) 4.4A (b) 11sqrt(2) A (c) 2.2A (d) 11 A

Answer»

`4.4 A`
`11sqrt(2)A`
`2.2 A`
`11A`

Solution :Here `E_(0)=E_(rms)XX sqrt(2)`
`= 220xx sqrt(2)V`
`|Z|=sqrt(R^(2)+X_(C )^(2))=sqrt((100)^(2)+(100)^(2))`
`|Z|=sqrt(2+(100)^(2))`
`|Z|=100 sqrt(2)Omega`
`THEREFORE`Maximum value of displacement current `I_(D)=(E_(0))/(|Z|)`
`therefore I_(d)=(220sqrt(2))/(100sqrt(2)) "" therefore I_(d)=2.2 A`


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