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A 200 Mh (pure) inductor, and a 5muF (pu...

A 200 Mh (pure) inductor, and a `5muF` (pure) capacitor , are connected , one by across a singusoidal ac voltage source `V=[70.7 sin (1000t)]` voltage. Obtain the experiessions for the current in each case.

Text Solution

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`L=200mH =200xx 10 ^-3 H`
`C=5xx 10^-6F`
`Omega =1000`
`X_L=Omega L=1000xx 200xx 10^-3=200 Omega`
` X_c=(1)/(OmegaC)=(1)/(1000xx 5xx 10^-6)=200 Omega`
` I_0=(V_0)/(X_L)=(70.7)/(200) =0.35`
so, `I_(0)^(L)=0.35 sin(1000t - pi//2)`
`I_(0)^(C )=0.35 sin (1000 t + pi//2)`
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