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In an LCR series combination, R=400Omega...

In an LCR series combination, R=400`Omega`, L=100 mH and C=`1muF`. This combination is connected to a 25sin2000t volt voltage source. Find the impedance of the circuit and the peak value of the circuit current.

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Ist part: Frequency of the source , `omega=200rad//s`
`therefore Impedance`,
`Z=sqrt(R^2+(omegaL-1/(omegaC))^2)`
`=sqrt(400^2+(2000times100times10^-3-1/(200times10^-6))^2)`
`=sqrt(16times10^4+9times10^4)=500Omega`
Peak value of current ,
`I_0=V_0/R=25/500=50mA`
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