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5. (a) A circuit consists of a capacitor C, an inductor L with two resistors Ry and R as shown in Figure 5(a). Determine: L = 0.2H IT M IC R2 = 6022 IR2 = 5AZ30° Vs 50HZ C = 50uF (2 marks) (3 marks) M R1 = 3002 Figure 5(a) 1) the active power P2 for resistor Ra ; (11) the reactive power Qc for capacitor C; (111) the active power P, for resistor Rı; (iv) the reactive power QL for inductor L; (v) the total active power Pt and total reactive power QT: (vi) the total apparent power St; (vii) the power factor of the circuit; and (viii)the source voltage Vs. (3 marks) (2 marks) (2 marks) (2 marks) (3 marks) (2 marks) (b) You are working in a factory as an engineer. To improve the overall power (6 marks) factor, a capacity bank is installed for the system. However, the circuit connected with the capacity bank was tripped very often. Identify THREE possible problems with explanation that will affect the operation of the factory.