A power plant generates electricity at 25 × 10³ V rms and a frequency of 60.0 Hz. It provides 10.0 MW of power with a power factor of 0.95. Determine the rms current output of the power plant.

Consider an experimental two-phase power system with phase lines A and B. The emfs generated by the system are ε _A = 45 V cos(ωt) and ε _B = 45 V cos(ωt - π/2), respectively. Here, the value "45 V" represents the peak voltage. The power produced by the emfs and transmitted by the two lines is 10 kW. Each of these lines supplies half of the total power. A transformer is used to increase the rms voltage of each EMF by a factor of 35. Calculate the current transmitted by each wire at 45 V.

Rob's Aunt in Canada gave him a 660-W Blu-ray player as a gift. Currently, he resides in Singapore where the electrical outlets output 240 V. The Blu-ray, on the other hand, operates on 120V. Find a way so he can use the Blu-ray player in Singapore at Canada's standard 120V.

A student is designing a prototype for a three-phase power system. The system consists of three parallel wires, A, B, and C, carrying currents. The emfs generating the currents are ε _A = (12 V) cos(ωt), ε _B = (12 V) cos(ωt + 2π/3), and ε _C = (12 V) cos(ωt - 2π/3) where 12 V represents the peak voltage. The power associated with the emfs and transmitted by the three wires is 120 W. Calculate the rms current in each wire if each of these wires supplies one-third of the total power.