1.

A resistor 30Omega, inductor of reactance 10Omega and capacitor of reactance 10Omega are connected in series to voltage source E = 300sqrt2 sin(omegat). Find the current in the circuit.

Answer»

14.14A
10A
30A
20A

Solution :Here, R=30 `Omega`
`X_L =10 Omega`
`X_C=10 Omega`
`E_m =300sqrt2V`
Here, `|Z|=SQRT(R^2+(X_L-X_C)^2)`
`=sqrt((30)^2 +(10-10)^2)`
`therefore |Z|=30Omega`
`E_(rms)=E_m/sqrt2 =(300sqrt2)/2`=300 V
`therefore I_(rms)=E_(rms)/"|Z|"`
`=300/30`
`therefore I_(rms)=10 A`


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