Figure 3 For Questions 39 For Questions 35 The mesh currents

Figure 3: For Questions 39 For Questions 3-5: The mesh currents for the circuit shown in figure 3 are given by 11 = 17.21 7.83° A. -92.24° A. Use these to determine the requested quantities. = 21.3801-13.A. and 13 35.651 3. What is Va? (a) 251.24135.7 V (b) 294.34-143.5 V (c) 195 36.5° V (d) 24934-44.3 V (e) None of the above 4. What is V? (a) 43.822273 (b) 40.96(-152.7\" v () 81.924-37.4° V (d) 63.27283.2 V (e) None of the above 5. What is the reactive power associated with source on the left side of the circuit? (a) 113.2 VAR (b) 294.1 VAR (c)2344 VAR (d) 400.0 VAR (e) None of the above

Solution

3) Va=(10-j6)*I2=(10-j6)*21.38<-13.35=249.33<-44.3 volts.

4) Vb=j5*(I1-I2)=j5*(17.211<7.83-21.38<-13.35)=40.95<-152.74 volts.

5) reactive power=100*I1*sin theta

Q=100*17.211*sin(7.83)=234.4 VAR.