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

Options

A. 14.14A
B. 10A
C. 30A
D. 20A

Answer

B

Explanation

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`