Consider a distribution feeder, with  ratio of 5. At the receiving end, a 350 kVA load is connected. The maximum voltage drop will occur from the sending end to the receiving end, when the power factor of the load is ________ (round off to three decimal places).

Using shunt capacitors, the power factor of a 3 -phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be corrected to 0.85 pf lag. The line current of the capacitor bank, in A, is _________  (round off to one decimal place).

The figure shows the single line diagram of a 4-bus power network. Branches , , and  have impedances , and  per-unit (pu), respectively, where , with  and . The current drawn from each load bus (marked as arrows) is equal to  pu, where . If the network is to operate with minimum loss, the branch that should be opened is

For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit , and the differences of the voltage phase angles are very small. The line reactances are marked in the figure, where , and  are strictly positive. The bus injections  and  are in pu. If , where , and the real power flow from bus 1 to bus 2 is , then which one of the following options is correct?

A  line of length  has the following parameters:

Resistance,

Inductance, ;

Capacitance,

The line is represented by the nominal-  model. With the magnitudes of the sending end and the receiving end voltages of the line (denoted by  and , respectively) maintained at , the phase angle difference  between  and  required for maximum possible active power to be delivered to the receiving end, in degree is ________ (Round off to 2 decimal places).