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A hydroelectric power plant is situated at the base of a large dam. Water flows into the intake near the bottom of the reservoir at a depth of 100.2 m. The water flows through 13 turbine generators and exits the power plant 118 m below the top of the reservoir at a speed of 11.3 m/s (at atmospheric pressure). The average volume flow rate of water through each generator is 105 m^3/s. Each generator produces a peak voltage of 11.6 kV and operates with an energy efficienc of 83%. Estimate the maximum possible peak current that a single generator can supply.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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