The formula to calculate the inductive impedance of the circuit is given by
XL=ωL...(1)
The formula to calculate the capacitive impedance of the circuit is given by
XC=ωC1...(2)
The formula to calculate the total impedance of the circuit can be written as
Z==R2+(Xc−XL)2R2+(ωC1−ωL)2...(3)
Substitute the values of the given parameters into equation (3) to calculate the required net impedance of the circuit.
Z====(10Ω)2+(2π×50Hz×π103×10−6F1−2π×50Hz×π50×10−3H)2100+25Ω125Ω55Ω