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Unformatted text preview: Questions W denotes answer available in Student Solutions Manual/Study Guide; O denotes objective question 1. O True or False? (a) From the definition of capacitance C = Q / V , it follows that an uncharged capacitor has a capacitance of zero. (b) As described by the definition of capacitance, the potential difference across an uncharged capacitor is zero. 2. If you are given three different capacitors C 1 , C 2 , and C 3 , how many different combinations of capacitance can you produce? 3. O By what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 9 (b) 3 (c) 3 2/3 (d) 3 1/3 (e) 1 (f) 3- 1/3 (g) 3- 2/3 (h) 1/3 4. O A capacitor with very large capacitance is in series with another capacitor with very small capacitance. What is the equivalent capacitance of the combination? (a) slightly greater than the capacitance of the large capacitor (b) slightly less than the capacitance of the large capacitor (c) slightly greater than the capacitance of the small capacitor (d) slightly less than the capacitance of the small capacitor. 5. O (i) Rank the following six capacitors in order from greatest to smallest capacitance, noting any cases of equality. (a) a 20- F capacitor with a 4-V potential difference between its plates (b) a 30- F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential (d) a 10- F capacitor storing 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (f) a capacitor storing charge 120 C and energy 360 J (ii) Rank the same capacitors from largest to smallest according to the potential difference between the plates. (iii) Rank the capacitors in the order of the magnitudes of the charges on their plates. (iv) Rank the capacitors in the order of the energy they store. 6. The sum of the charges on both plates of a capacitor is zero. What does a capacitor store? 7. O (i) What happens to the magnitude of the charge on each plate of a capacitor if the potential difference between the conductors is doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It is unchanged. (d) It becomes one-half as large. (e) It becomes one-fourth as large. (ii) If the potential difference across a capacitor is doubled, what happens to the energy stored? Choose from the same possibilities. 8. O A parallel-plate capacitor is charged and then is disconnected from the battery. By what factor does the stored energy change when the plate separation is then doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It stays the same. (d) It becomes one-half as large (e) It becomes one-fourth as large....
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