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Consider the circuit shown to the right. The light bulbs are identical and initially the capacitor is uncharged.
The switch is closed at time f = 0. Describe the behavior of bulb 1 and bulb 2 from just after the switch is closed to a long time later. Include your description a comparison of the brightness of the Explain your reasoning.
Bulb 1
Bulb 2
(b) Find the potential difference across the capacitor in terms of the voltage across the battery (Vbattery) 3 very long time after the switch is closed. Explain your reasoning.
(c) After the switch has been closed for a very long time, the switch is then reopened. Describe the behavior of bulb 1 and bulb 2 from just after the switch is opened to a long time later. Explain your reasoning.
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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