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Figure 25-18 shows a parallel-plate capacitor of plate areaA and plate separation d. A potential differenceV0 is applied between the plates. While thebattery remains connected, a dielectric slab of thicknessb and dielectric constant κ is placed between the plates as shown. Assume A = 190 cm2, d= 1.30 cm, V0 = 88.5 V, b = 0.950 cm,and κ = 4.89. Calculate (a) the capacitance,(b) the charge (in C) on the capacitor plates,(c) the electric field in the gap, and (d) the electric field in the slab, after the slab is in place.
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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