QA.24: 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 capac- itor. (b) Slightly less than the capacitance of the large capacitor. (c) Slightly greater than the capacitance of the small capac- itor. M. Rabiu, Page 12 of 23 (d) Slightly less than the capacitance of the small capacitor. (e) None QA.25: A parallel-plate capacitor filled with air carries a charge, Q. The battery is disconnected, and a slab of material with dielectric constant k = 2 is inserted between the plates. Which of the following statements is true? (a) The charge on the plates is doubled. (b) The voltage across the capacitor is doubled. (c) The voltage across the capacitor decreases by a factor of 2. (d) The charge on the plates decreases by a factor of 2. (e) The electric field is doubled. QA.26: 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?

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Please add the solution to the problem. Q24,25,26
QA.24: 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 capac-
itor.
(b) Slightly less than the capacitance of the large capacitor.
(c) Slightly greater than the capacitance of the small capac-
itor.
M. Rabiu, Page 12 of 23
(d) Slightly less than the capacitance of the small capacitor.
(e) None
QA.25: A parallel-plate capacitor filled with air carries a
charge, Q. The battery is disconnected, and a slab of material
with dielectric constant k = 2 is inserted between the plates.
Which of the following statements is true?
(a) The charge on the plates is doubled.
(b) The voltage across the capacitor is doubled.
(c) The voltage across the capacitor decreases by a factor of
2.
(d) The charge on the plates decreases by a factor of 2.
(e) The electric field is doubled.
QA.26: 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 becomes one-half as large.
(d) It stays the same.
(e) It becomes one-fourth as large.
Transcribed Image Text:QA.24: 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 capac- itor. (b) Slightly less than the capacitance of the large capacitor. (c) Slightly greater than the capacitance of the small capac- itor. M. Rabiu, Page 12 of 23 (d) Slightly less than the capacitance of the small capacitor. (e) None QA.25: A parallel-plate capacitor filled with air carries a charge, Q. The battery is disconnected, and a slab of material with dielectric constant k = 2 is inserted between the plates. Which of the following statements is true? (a) The charge on the plates is doubled. (b) The voltage across the capacitor is doubled. (c) The voltage across the capacitor decreases by a factor of 2. (d) The charge on the plates decreases by a factor of 2. (e) The electric field is doubled. QA.26: 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 becomes one-half as large. (d) It stays the same. (e) It becomes one-fourth as large.
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