An ideal transformer steps down 120 V to 12 V and the 2630-turn secondary supplies 12 A of current through a load of 1 ohm. (a) Determine both the rms average current and the peak current in the primary. (b) What is the number of turns in the primary? (c) What is the ratio of power in the secondary to the power in the primary?

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.