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Water at temperature 25°C flows from a tap T into a heated container C. The container has a heating element (a resistor R) which is supplied with electrical power, P, that may be varied. The rate of flow of water F = 0.030 litres per minute. The electrical power is sufficient that C the water in the container is boiling. What is the minimum power that must be supplied in the steady state so that the amount of liquid water in R the container neither increases nor decreases with time? You may neglect other losses of heat, such as conduction and radiation from the container to the air.
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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