1. A 3.58-microF capacitor is charged by being connected across a 12.0-V battery

Question

1. A 3.58-microF capacitor is charged by being connected across a 12.0-V battery.(a) Find the charge on the capacitor. (b) Find the potential energy of the charged capacitor.

*Correct answer for (a) will be in range of 20.0-70.0microC and for (b) 0.100-0.400mJ

2. A parallel-plate capacitor has an area of 2.74 cm^2 and the plates are separated by 2.08 mm with air between them. (a) Find the capacitance of this capacitor. (b) How much charge does this capacitor store when connected to a 6.00-V battery?(c) Find the magnitude of the electric eld between the two plates.

*Correct answer for (a) will be between 1.00-2.00pF, for (b) 5.00-9.90pC, and (c) 2000-5000 V/m.

Explanation / Answer

2. (a) The permittivity of air is about 8.85 x 10^-12

C = eA/d = (8.85*10^(-12))*2.74*0.1/2.08 = 1.1658 pF

(b) Q = CV = 13.17*6 = 1.1658*10^(-12) = 1.1658pF * 6 = 6.994 * 10^(-12) C

(c) V = Ed

E = V/d = 6/2.08*10^(-3) = 2884.61 V/m

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