Fa07-Final-Huang-Exam

Fa07-Final-Huang-Exam - University of California, Berkeley...

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University of California, Berkeley Physics 7B, Fall 2007 ( Xiaosheng Huang ) Final Exam Tuesday, 12/15/07 5:00-8:00 PM Name__________________________________________ Section_______________ Fundamental Constants: Avogadro's number, N A : 6.02×10 23 mol -1 Gas Constant, R : 8.315 J/mol·K Boltmann's Constant, k B : 1.38×10 -23 J/K Stefan-Boltzmann Constant, σ : 5.67×10 -8 W/m 2 ·K 4 Elementary charge, e : 1.60 ×10 -19 C Permittivity of free space, ε 0 (=1/ c 2 μ 0 ): 8.85×10 -12 C 2 /N·m 2 Permeability of free space, 0 : 4 π × 10 -7 T·m/A Speed of light, c : 3 × 10 8 m/s
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K 1 K 2 d A 1) (20 pts.) Two different dielectrics each filling half the space between the plates of a parallel plate capacitor, in two different configurations, are shown in a) and b) below. K 1 and K 2 are the dielectric constants. A is the area of the plates and d is separation between them. Determine the capacitance in terms of K 1 , K 2 , A and d for a) and b). ( Hint : In each of the two cases, can you consider this capacitor as two capacitors in parallel or series?) a) Answer:
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K 1 K 2 d A b) Answer:
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Fa07-Final-Huang-Exam - University of California, Berkeley...

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