The following sets of values for and i pertain to the circuit seen in Fig. 10.1. For each set of values, calculate P and Q and state whether the circuit inside the box is absorbing or delivering (1) average power and (2) magnetizing vars.
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Question
The sending-end voltage in the circuit seen in Fig. P10.50 is adjusted so that the rms value of the load voltage is always 4000 V. The variable capacitor is adjusted until the average power dissipatedin the line resistance is minimum.a) If the frequency of the sinusoidal source is60 Hz, what is the value of the capacitance inmicrofarads?b) If the capacitor is removed from the circuit,what percentage increase in the magnitude ofis necessary to maintain 4000 V at the load?c) If the capacitor is removed from the circuit,what is the percentage increase in line loss?
Solution
The first step in solving 10 problem number 50 trying to solve the problem we have to refer to the textbook question: The sending-end voltage in the circuit seen in Fig. P10.50 is adjusted so that the rms value of the load voltage is always 4000 V. The variable capacitor is adjusted until the average power dissipatedin the line resistance is minimum.a) If the frequency of the sinusoidal source is60 Hz, what is the value of the capacitance inmicrofarads?b) If the capacitor is removed from the circuit,what percentage increase in the magnitude ofis necessary to maintain 4000 V at the load?c) If the capacitor is removed from the circuit,what is the percentage increase in line loss?
From the textbook chapter Sinusoidal Steady-State Power Calculations you will find a few key concepts needed to solve this.
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