Answer Happy

You have to your disposal multiple lamps in stock with the nominal values: L1 (60 V, 300 Watts), L2 (120 V, 1200 Watts), L3 (120 V, 600 Watts) and L4 (120 V, 120 Watts). After testing the lamps the manufacturer states that the resistance of the lamp is proportional to the voltage applied to the lamp as shown in the expression below Rlamp = R(0 Volt) + 0.1 (ohm/Volt) *V Where Rlamp is the value of the resistance of the lamp at any applied voltage, R(0 Volt) is the resistance of the lamp when no voltage is applied, and V is the voltage applied to the lamp 4.1) Find the resistance of each one of the lamps when applied 50% of the nominal voltage You have a dimmer with three output channels (Channel #1, Channel #2 and Channel #3) which allows the voltage to change from OV to 120V, with a maximum current of 30 amp. each. You need to select and connect lamps from the available stock, in the way that the three channels will work at their maximum load (30 amp.) without the possibility to go over the maximum current. 4.2) Select the lamps and draw the circuits of the lamps connected to each one of the output channels that will take exactly 30 amp from each output when the output produces 120 4.3) What is the minimum current and power the outlet where the dimmer is connected need to provide to ensure that the lighting system will work properly? Justify your answer. 4.4) Calculate the Power and the Current for each channel when the dimmer is providing 100% of the output (120 V) in each channel. Justify your answers with the calculations-No justification - No Points 4.5) The setup of the dimmer for the scene you want to light, required that with the lamps you chose for each output channel, Channel #1 will be 50% (%), Channel #2 will be at 66.6% (2/3) and Channel #3 will be at 83.3 % (5/6). Calculate the Voltage, Current and Power for each channel, the total power and current needed for the dimmer to work.