As part of an honors project proposal, a student wanted to build a high voltage

Question

As part of an honors project proposal, a student wanted to build a high voltage capacitor by coating a five gallon paint bucket inside and out with aluminum foil. If the bucket were flattened, this would produce a dielectric-filled, parallel-plate capacitor with plate area of 0.9m2. plate separation of 1mm, and d [electric .coiistant-2,3 (polyethylene). A homemade Van der GraafF generator will easily charge this capacitor to 75,000V. How much energy would it contain at this voltage? Select One of the Following 6.9 times 10"4J 5.2 times 10-2J 0.69J 52J 69J An aluminized, spherical hot air balloon with a radius of 11m is struck by lightning. This gives the balloon a net charge of 40C. What is the electrostatic energy of the charged balloon? It is probably easiest to approach this using the capacitance of the balloon. Select One of the Following: 1.3 times 1012J 6.5 times 10nJ 3.3 times 10UJ 1.9 times 1010J 1.6 times 1010J Two conducting planes a and b are filled with two dielectric slabs of thickness t The planes have area A. The slabs are separated by a conductor of thickness d, as shown. Compute the capacitance between a and b symbolically. Select One of the Following: C=Aeo/2l C=Aeo/k(2l+d) C=Aeok/(2l+d) C=Aeok/d) C=Aeok/2l

Explanation / Answer

Here ,

Area , A = 0.9 m^2

d = 0.001 m

k = 2.3

voltage , V = 75000 V

as the energy stored in a capacitor is given as

U = 0.5 CV^2

U = 0.5 * 2.3 *8.854 * 0.9/(0.001) * 75000^2

U = 52 J

the energy stored at this voltage is d) 52 J

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