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A certain capacitor has rectangular plates 50 cm by 28 am, and the gap width is

ID: 777721 • Letter: A

Question

A certain capacitor has rectangular plates 50 cm by 28 am, and the gap width is 0.23 mm. What is its capacitance? We see that typical capacitances are very small when measured in farads. A one-farad capacitor is quite extraordinary! Apparently it has a very large area A (all wrapped up in a small package), and a very small gap s ditional Materials Section 19.1 4. -1 points MI4 10.1.030 My Note A certain capacitor has rectangular plates 42 cm by 34 cm, and the gap width is 0.30 mm. If the gap is filled with a material whose dielectric constant is 2.9, what is the capacitance? Additional Materials Section 19.1

Explanation / Answer

3) C = e0 A / d

= ( 8.85 * 10-12 * 50 * 28 * 10-4) / (0.23 * 10-3)

= 5.38 * 10-9 F

4) C = k e0 A / d

= (2.9 * 8.85 * 10-12 * 42 * 34 * 10-4) / (0.30 * 10-3)

= 1.22 * 10-8 F

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