The expression of impedance of the circuit is as follows, Z=√R2+(XC−XL)2 The expression of capacitance reactance is as follows, XC=
1
ωC
=
1
2πfC
Substitute the values. Xc=
1
2π(50)(10×10−6)
=318.47Ω The expression of inductive reactance is as follows, XL=ωL=2πfL Substitute the values. XL=2π(50)(6×10−6) =18.84×10−4Ω The impedence is, Z=√102+(318.4−18.84×10−4)2 =318.55Ω Rms current is calculated as, irms=
Vrms
Z
=
V0∕√2
Z
=
280
√2×318.55
=0.621A The average power dissipation is calculated as, P=irms2.R =(0.621)2×10 =3.8W