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Consider the following.
(a) A rectangular block has the dimensions l x w x h. When a battery with a voltage V is connected across the end faces as shown in the left figure above, a current I1 flows through the circuit. If the same battery is connected across the top and bottom faces of the block as shown in the right figure, what is the current I2 that flows through the circuit? Give your answer in terms of I1. (Use the following as necessary: l, w, h, I1)
(b) Suppose l = 3.20 cm, w = 2.2 cm, and h = 2.00 cm; the battery voltage is 1.5 V and I1 = 3.30 A, determine the value of I2.
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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