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An electrical circuit is connected as shown in the figure on the right. It contains two identical batteries. The battery labeled #1is rated at 6 Volts and the one labeled #2 is rated at 3 Volts. The 3 bulbs (labeled A, B, and C) are identical and, at the currents in the circuit, each bulb can be taken to have almost a constant resistance of 3 Ohms. Use Kirchoff's laws to find:
The current through each of the bulbs and the current through each of the batteries.
In explaining your argument, explain which of the Kirchoff principles you are using and how. If you have not used all of them, discuss whether you are using the missing ones implicitly or whether they are not relevant here.
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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