A complex voltage given by: v = 60sin(wt) + 24sin(3wt + ) + 12sin(5wt +) is applied across a circuit and the resulting current is given by: i= 0.6sin(wt - 2n ) + 0.12sin(3wt - + 0.1sin(5wt - ) 10 24 Determine the following: (a) Total power supplied. (b) Rms value of the current. (c) Rms value of the voltage. (d) Overall power factor.

3.n Figure 3P.2 shows two capacitor banks, C, and C2, in a substation C is enercized, but C, is discharged. The three-phase, 60 Hz ratings of the banks are: C,, 5 MVA; C,, 3 MVA, on a 13.8 kV base. The source has a short circuit rating of 20 kA rms at 13.8 kV. The inductance of the loop between C, and C,, represented by L, is 30 µH. 13.8 kV V3 L L2 o to C2 Source Capacitor banks ouG OL 19 Fig. 3P.2. Calculate the peak transient voltage that will appear on C, and the peak transient current that will flow in L,, if the switch S is closed at the peak of the voltage cycle. Point out any assumptions you make.

Q1: Consider the circuit shown in the following figure. (i) Find the phasor currents and voltages. (ii) Find the power delivered to the load. (iii) Reflect Vs and R1 to the secondary side. V₁= 1000/0° (~ V peak R₁ = 1000 £2 www 10:1 elle m 10 +j20 ZL

The circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three- phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and IT RO- SO- To- : IR Is IT UL-380 V CARGA 1 P₁ = 950 W cos p1=0,5 ind. CARGA 2 P₂=1.140 W cos p₂=1 CARGA 3 P3=760 W cos p3=0,5 cap.