1. The problem statement, all variables and given/known data *An electric resistance space heater rated at 1500W for a voltage source of v(t)=120√(2) sin(2pi60t)V has a thermostatically controlled switch. The heater periodically switches on for 5 min and off for 7 min. Determine (a) the maximum instantaneous power, (b) the average power over the 12-min cycle, and (c) the electric energy converted to heat in each 12-min cycle. 2. Relevant equations none. 3. The attempt at a solution 1. the maximum instantaneous power is twice of the rating right? 3000Watts? 2. and average power is the integral of instantaneous over time, divided by the time interval? but cant quite figure out what values to use. 3. for energy we use e=vit? am i supposed to multiply just the amplitudes of both voltage and current with time in seconds?