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A fortune teller's "crystal ball" (actually just glass) is 13 cm in diameter. Her secret ring is placed 8 cm from the edge of the ball.
a) An image of the ring appears on the opposite side of the crystal ball. How far is the image from the center of the ball?
b) The crystal ball is removed and a thin lens is placed where the center of the ball had been. If the image is still in the same position, what is the focal length of the lens?
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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