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Chapter 26: Q. 23 (page 738)
You need to construct a 100 pF capacitor for a science project. You plan to cut two L * L metal squares and insert small spacers between their corners. The thinnest spacers you have are 0.20 mm thick. What is the proper value of L?
The value ofis
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High-frequency signals are often transmitted along a coaxial cable, such as the one shown in FIGURE P26.66. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius while the outer conductor of radius is grounded (i.e., at ). An insulating material fills the space between them, and an insulating plastic coating goes around the outside.
a. Find an expression for the capacitance per meter of a coaxial cable. Assume that the insulating material between the cylinders is air.
b. Evaluate the capacitance per meter of a cable having and
Two metal plates are separated by a -thick piece of Teflon.
a. What is the capacitance?
b. What is the maximum potential difference between the plates?
Figure Q26.7 shows an electric field diagram. Dashed lines 1 and 2 are two surfaces in space, not physical objects.
a. Is the electric potential at point a higher than, lower than, or equal to the electric potential at point b? Explain.
b. Rank in order, from largest to smallest, the magnitudes of the potential differences .
c. Is surface 1 an equipotential surface? What about surface 2? Explain why or why not.
A -diameter parallel-plate capacitor with a spacing of is charged to . What are
(a) the total energy stored in the electric field and
(b) the energy density?
An ideal parallel-plate capacitor has a uniform electric field between the plates, zero-field outside. By superposition, half the field strength is due to one plate and a half due to the other.
a. The plates of a parallel-plate capacitor are oppositely charged and attract each other. Find an expression in terms of and the plate separation for the force one plate exerts on the other.
b. What is the attractive force on each plate of a capacitor with a plate spacing whencharged to ?
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