In an A.C. circuit maximum voltage and maximum currents are 200 V and 2.2A respectively. Calculate power and power factor in the circuit. (Here `X_C=60 Omega` and `R=80 Omega` )

Explanation

Here, `V_m`=200 V, `I_m`=2.2A , `X_C=60Omega,R=80 Omega`
`|Z|=sqrt(R^2+X_C^2)`
`=sqrt((80)^2+(60)^2)=sqrt(6400+3600)`
`=sqrt10000`
`therefore |Z|=100 Omega`
power factor `cosdelta=R/"|Z|"=80/100`
`therefore cos delta=0.8`
`therefore` Power consumed in the circuit
`P=V_m/sqrt2. I_m/sqrt2 "cos" delta`
`therefore P=(V_mI_m)/2 "cos" delta`
`therefore P=(200xx2.2xx0.8)/2 therefore` P=176 W