qz4f08sol - September 26, 2008 PHY2054 Discussion-Fall 08...

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September 26, 2008 PHY2054 Discussion-Fall ‘08 Quiz 4 (Chapter 16.9-17.4) Name: UFID: *1. (5pts) When a certain air-filled parallel-plate capacitor is connected across a battery, it acquires a charge of 250 μC. While the battery connection is maintained, a dielectric slab is inserted between the plates. As a result, the charge stored in the capacitor increases to 600 μC. What is the dielectric constant of the slab? When the dielectric is inserted between the plates, the capacitance increases by a factor of the dielectric constant. The potential difference across the capacitor does not change. Thus we have κ = C/C 0 = (Q/ΔV)/(Q 0 /ΔV) = Q/Q 0 = 600/250 = 2.4 ***2. (5pts) Two isolated parallel plates, each of area 2.00 cm ² , are separated by 2.00 mm with dielectric material between them. The plates store charges of 1.00 μC and -1.00 μC respectively, and the dielectric has a dielectric constant of 5.00. Find the average force to pull out the dielectric material partially by 1.00 cm so that the half of the region between the plates is filled with the
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qz4f08sol - September 26, 2008 PHY2054 Discussion-Fall 08...

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