What is the maximum value of the variable ALPHA that will allow the channel 2 produce its maximum light output?

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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All the lamps from Lamp #1 to Lamp #7 are designed to work with a nominal Voltage Vlamp of 120V and their resistance Rlamp is constant and do not depends on the temperature. Using this information solve the questions below.

  1. What is the maximum value of the variable ALPHA that will allow the channel 2 produce its maximum light output?
Breaker
Imax 30 Amps
Lamp #4
1200 Watts
Lamp # 5
1200 Watts
Lamp # 6
1800 Watts
Lamp # 7
1800 Watts
Dimmer
Ch2
Alpha Ch2
Figure 2 - Diagram of the lamps connected to Channel 2
Transcribed Image Text:Breaker Imax 30 Amps Lamp #4 1200 Watts Lamp # 5 1200 Watts Lamp # 6 1800 Watts Lamp # 7 1800 Watts Dimmer Ch2 Alpha Ch2 Figure 2 - Diagram of the lamps connected to Channel 2
Part C
You are the light technician of the performance. The Director ORDERED you (you do not have a
choice!!!) to use the two channel Dimmer PPQQ2019. Every channel has a Maximum Current Imax=30
Amps, and the Voltage in the output of the channel depends of the Variable ALPHA (your control slide!)
that changes from 0% to 100% following this NON LINEAR relation
(ALPHA)?
Vout (ALPHA) = 120 Volts *
10000
Also the Director requested tom place the seven lamps (Lamp 1 to Lamp 7) in the configuration
presented below.
Breaker
Imax 30 Amps
Lamp #1
600 Watts
Lamp #2
1200 Watts
Lamp #3
1800 Watts
Dimmer
Ch1
Alpha Ch1
Figure 1- Diagram of the lamps connected to Channel 1
Transcribed Image Text:Part C You are the light technician of the performance. The Director ORDERED you (you do not have a choice!!!) to use the two channel Dimmer PPQQ2019. Every channel has a Maximum Current Imax=30 Amps, and the Voltage in the output of the channel depends of the Variable ALPHA (your control slide!) that changes from 0% to 100% following this NON LINEAR relation (ALPHA)? Vout (ALPHA) = 120 Volts * 10000 Also the Director requested tom place the seven lamps (Lamp 1 to Lamp 7) in the configuration presented below. Breaker Imax 30 Amps Lamp #1 600 Watts Lamp #2 1200 Watts Lamp #3 1800 Watts Dimmer Ch1 Alpha Ch1 Figure 1- Diagram of the lamps connected to Channel 1
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