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You arrived to the theater and find the following equipment set for the performance of this evening. The circuit of the existing system is the following:

You arrived to the theater and find the following equipment set for the performance of this evening. The circuit of the existing system is the following:

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Homework #9 Question #1 You arrived to the theater and find the following equipment set for the performance of this evening. The circuit of the existing system is the following: Imax = 30 Amp Breaker Alpha Dimmer LI L2 L3 Vin = 120 VAC The nominal values of the incandescent lamps connected to the dimmer are: L1 (120 V, 2400 W), L2 (120 V 1200 W) and L3 (120 V 1200 W). V The dimmer provides an Output Voltage Vout = Vin x sin(alpha/2) meaning when alpha is 0° then Vout is 0 Volt and when alpha is 180° then Vout = Vin = 120 Volts. 1.1)You arrive to the theater and turn on the dimmer to alpha = 100% (meaning 180°). Will the system work properly? Yes/No - Justify your answer with your calculations 1.2)If the system cannot work properly with alpha = 100% = 180°, and you do not have time to make the pertinent changes, please calculate the maximum alpha you can rise the dimmer before the breakers stop the lights to work. Assume that the resistances of the lamps are constant and do not change with the temperature) 1.3)You need to remove lamps to ensure that if you use the dimmer at 100% the breaker will not open the circuit, but also to ensure that the stage receives the maximum of light. Decide which lamp/s you will remove and justify it with your calculations
Transcribed Image Text:Homework #9 Question #1 You arrived to the theater and find the following equipment set for the performance of this evening. The circuit of the existing system is the following: Imax = 30 Amp Breaker Alpha Dimmer LI L2 L3 Vin = 120 VAC The nominal values of the incandescent lamps connected to the dimmer are: L1 (120 V, 2400 W), L2 (120 V 1200 W) and L3 (120 V 1200 W). V The dimmer provides an Output Voltage Vout = Vin x sin(alpha/2) meaning when alpha is 0° then Vout is 0 Volt and when alpha is 180° then Vout = Vin = 120 Volts. 1.1)You arrive to the theater and turn on the dimmer to alpha = 100% (meaning 180°). Will the system work properly? Yes/No - Justify your answer with your calculations 1.2)If the system cannot work properly with alpha = 100% = 180°, and you do not have time to make the pertinent changes, please calculate the maximum alpha you can rise the dimmer before the breakers stop the lights to work. Assume that the resistances of the lamps are constant and do not change with the temperature) 1.3)You need to remove lamps to ensure that if you use the dimmer at 100% the breaker will not open the circuit, but also to ensure that the stage receives the maximum of light. Decide which lamp/s you will remove and justify it with your calculations
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