Show the work how you got the this 5 problems answer You Do (due 2.19.18-for cre

Question

Show the work how you got the this 5 problems answer You Do (due 2.19.18-for credit, show clearly how you got the answers 1. The ionosphere forms the base of the outermost layer of the earth's atmosphere, beginning at about 90.0km above the Earth's surface. Its name comes from the fact that it builds up charge in the form of ions; and combined with the surface of the earth, it forms a giant capacitor. Find the capacitance of the Earth- ionosphere system. The radius of the earth is 6.38x10°m; Ans/0.0510F 2. In an electronic circuit, you need a capacitor to store 4.50e-9J of energy. You have 1.50 volts available to 3. The dielectric paste used in a tiny 360nF capacitor has a dielectric constant of 50. What would the capacitor's 4. A tiny capacitor found in a clock radio uses a dielectric with a dielectric constant of 262. The electric field charge it with. What capacitance should you choose? Ans/4.00c-9F capacitance be without the dielectric? Ans:7.2 nF strength between the "plates" of this capacitor is 6.11x10 V/m. If the dielectric were replaced with a vacuum what would the strength of this electric field become, assuming the charges on the plates remain the same? Ans:1.60e8 V/m 5. A variable capacitor has a range of capacitances from 2.0nF to 20 nF. What is the difference between the mos and least charge that can be stored on the variable capacitor when it is connected to a 9.0V source of potentia difference? Ans: 1.6e-7 C

Explanation / Answer

1. for spherical capacitor,

C = 4 pi e0 a b / (b - a)

C = (4 pi x 8.854 x 10^-12) (6.38 x 10^6)^2 / (90 x 10^3)

C = 0.0508 F

2. U = C V^2 / 2

4.50 x 10^-9 = C (1.50^2)/ 2

C = 4 x 10^-9 F

3. C' = k C

C' - capacitance with dieletric

k - dielectric constant

C - capacitance without dielelctric

360 = 50 C

C = 7.2 nF

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