26. Capacitors & Dielectrics
Capacitance Using Calculus
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- Multiple Choice
In the figure, . The switch has been in position a for a long time. At the switch is moved to position b. At what time will the voltmeter read297views - Textbook QuestionA spherical capacitor contains a charge of 3.30 nC when connected to a potential difference of 220 V. If its plates are separated by vacuum and the inner radius of the outer shell is 4.00 cm, calculate: (a) the capacitance; (b) the radius of the inner sphere; (c) the electric field just outside the surface of the inner sphere.1157views
- Textbook QuestionA capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and the outer is positively charged; the magnitude of the charge on each is 10.0 pC. The inner cylinder has radius 0.50 mm, the outer one has radius 5.00 mm, and the length of each cylinder is 18.0 cm. (a) What is the capacitance? (b) What applied potential difference is necessary to produce these charges on the cylinders?579views
- Textbook Question
"A coaxial cable, Fig. 24–35, consists of an inner cylindrical conducting wire of radius R₆ surrounded by a dielectric insulator. Surrounding the dielectric insulator is an outer conductor of radius Rₐ, which is usually “grounded.”
(a) Determine an expression for the capacitance per unit length of a cable whose insulator has dielectric constant K.
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157views - Textbook Question
A coaxial cable, Fig. 24–35, consists of an inner cylindrical conducting wire of radius R₆ surrounded by a dielectric insulator. Surrounding the dielectric insulator is an outer conductor of radius Rₐ, which is usually “grounded.”
(b) For a given cable, R₆ = 2.5 mm and Rₐ = 9.0 mm. The dielectric constant of the dielectric insulator is K = 3.2. Suppose that there is a potential of 1.0 kV between the inner conducting wire and the outer conducting sheath. Find the charge, and capacitance, per meter of the cable.
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