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Q. The parallel plates in a capacitor, with a plate area of 8.70 cm2 and an air-filled separation of 3.30 mm, are charged by a 8.90 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 9.60 mm. Neglecting fringing, find (a) the potential difference (in V) between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates.
Q. What is the current in amperes in a wire of radius R = 2.91 mm if the magnitude of the current density is given by (a) Ja =J0r/R and (b) Jb = J0(1 - r/R) in which r is the radial distance and J0 = 5.87 x 104 A/m2?
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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