A sinusoidal voltage has a peak value of 340 V. Calculate its mean and r.m.s. values, correct to 3 significant figures.

What is the purpose of C2? What happens if it is open?

The fuel-cost functions for three thermal plants in $/h are given by: C₁ = 0.004P2 +7.2P₁ + 350 $/h C₂ = 0.0025P2 + 7.3P₂ + 500 $/h C3 = 0.003P3 + 6.74P3 + 600 $/h Neglect losses and generators limits, a- Find the optimal dispatch and the total cost in $/h for a load demand of 800 MW. b- Calculate the save in cost in $/h if the load is equally distributed among the three plants.

Determine the region where the poles of a second- order system without zeros must be so that the settling time is between 1 to 4 seconds, and the overshoot percentage is between 16.30% and 4.6%.