A large air conditioner has a resistance of 60 and an induct

A large air conditioner has a resistance of 6.0 and an inductive reactance of 13 . The air conditioner is powered by a 65.0 Hz generator with an rms voltage of 240 V.

a. Find the impedance (Z) of the air conditioner.

b. Find the rms current.

c. Find the average power consumed by the air conditioner.

Solution

a) Z=(6+j13) ohms.

b) rms current=[240<0/(6+j13)]=16.762<-65.2248 amps.

c) average power consumed=(i^2/2)*R=[(16.762*16.762)/2]*6=842.89 watts.