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A circuit is constructed using the following materials: an ideal battery, a switch, an uncharged capacitor, and n = 3 resistors. The battery, switch, and capacitor are all connected in series. with each other (in that order); then the resistors are all con- nected in parallel to each other, and then placed between the capacitor and the battery. The battery has emf & = 12.0 V, the capacitor has capacitance C = 490 μF, and each resistor has resistance R = 320 kn. At t = 0, the switch is closed. How much energy E does the capacitor store when t 1.0 min? For the limit check, investigate what happens to E as the number. of parallel resistors gets large (n → ∞). = Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As n∞, what limit does E approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

A circuit is constructed using the following materials: an ideal battery, a switch, an uncharged capacitor, and n = 3 resistors. The battery, switch, and capacitor are all connected in series. with each other (in that order); then the resistors are all con- nected in parallel to each other, and then placed between the capacitor and the battery. The battery has emf & = 12.0 V, the capacitor has capacitance C = 490 μF, and each resistor has resistance R = 320 kn. At t = 0, the switch is closed. How much energy E does the capacitor store when t 1.0 min? For the limit check, investigate what happens to E as the number. of parallel resistors gets large (n → ∞). = Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As n∞, what limit does E approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A circuit is constructed using the following materials: an ideal battery, a switch, an uncharged capacitor, and n = 3 resistors. The battery, switch, and capacitor are all connected in series. with each other (in that order); then the resistors are all con- nected in parallel to each other, and then placed between the capacitor and the battery. The battery has emf & = 12.0 V, the capacitor has capacitance C = 490 μF, and each resistor has resistance R = 320 kn. At t = 0, the switch is closed. How much energy E does the capacitor store when t 1.0 min? For the limit check, investigate what happens to E as the number. of parallel resistors gets large (n → ∞). = Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As n∞, what limit does E approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
Transcribed Image Text:A circuit is constructed using the following materials: an ideal battery, a switch, an uncharged capacitor, and n = 3 resistors. The battery, switch, and capacitor are all connected in series. with each other (in that order); then the resistors are all con- nected in parallel to each other, and then placed between the capacitor and the battery. The battery has emf & = 12.0 V, the capacitor has capacitance C = 490 μF, and each resistor has resistance R = 320 kn. At t = 0, the switch is closed. How much energy E does the capacitor store when t 1.0 min? For the limit check, investigate what happens to E as the number. of parallel resistors gets large (n → ∞). = Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As n∞, what limit does E approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
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