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GATE Electrical Engineering (EE) 2023 Solved Paper

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Question : 33

Total: 65

A 50 Hz, 275 kV line of length 400 km has the following parameters:
Resistance, R = 0.035 Ω/km;
Inductance, L = 1 mH /km;
Capacitance, C = 0.01 μF/km;
The line is represented by the nominal-π model. With the magnitudes of the sending end and the receiving end voltages of the line (denoted by V_S and V_R, respectively) maintained at 275 kV, the phase angle difference (θ) between V_S and V_R required for maximum possible active power to be delivered to the receiving end, in degree is _____________ (Round off to 2 decimal places).

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