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A 256-turn solenoid with a length of 19 cm and radius of 2 cm carries a current of 1.7 A. A second coil of 4 turns is wrapped tightly about this solenoid so that it can be considered to have the same radius as the solenoid.
1. Find the change in the magnetic flux through the coil when the current in the solenoid increases to 8 A in a period of 1.12 s. The permeability of a vacuum is 4 π × 10-7 T · m/A Answer in units of T · m2 .
2. Find the magnitude of the average induced emf in the coil. Answer in units of µV.
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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