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Chapter 25: Q7Q (page 739)
For each circuit in Fig. 25-21, are the capacitors connected in series, in parallel, or in neither mode?
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You are asked to construct a capacitor having a capacitance near1nFand a breakdown potential in excess of 10000 V . You think of using the sides of a tall Pyrex drinking glass as a dielectric, lining the inside and outside curved surfaces with aluminum foil to act as the plates. The glass is 15 cm tall with an inner radius of 3.6 cmand an outer radius of3.8 cm(a) What is the capacitance? (b) What is the breakdown potential of this capacitor?
In Fig. 25-31, a 20.0 Vbattery is connected across capacitors of capacitancesWhat are (a) the equivalent capacitanceof the capacitors and (b) the charge stored by? What are (c)and (d)role="math" localid="1661748621904" of capacitor 1, (e)role="math" localid="1661748675055" and (f)of capacitor 2, and (g)and (h)of capacitor 3?
In Fig. 25-29, find the equivalent capacitance of the combination. Assume that , and
A potential difference of 300 V is applied to a series connection of two capacitors of capacitances and .What are (a) charge and (b) potential difference on capacitor 1 and (c) and (d) on capacitor 2? The chargedcapacitors are then disconnected from each other and from the battery. Then the capacitors are reconnected with plates of the same signs wired together (the battery is not used). What now are (e) , (f) , (g) , and (h) ? Suppose, instead,the capacitors charged in part (a) are reconnected with plates of oppositesigns wired together. What now are (i) , ( j) , (k) , and (l)?
A parallel plate capacitor has plates of areaand a separation of 1.2 cm. A battery charges the plates to a potential difference of 120 Vand is then disconnected. A dielectric slab of thickness 4.0 mmand dielectric constant 4.8is then placed symmetrically between the plates.(a)What is the capacitance before the slab is inserted?(b)What is the capacitance with the slab in place?(c)What is free charge q before slab is inserted?(d)What is free charge q after slab is inserted?(e)What is the magnitude of electric field in space between plates and dielectric?(f)What is the magnitude of electric field in dielectric itself?(g)With the slab in place, what is the potential difference across the plates?(h)How much external work is involved in inserting the slab?
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