A 10-⁹-F capacitor (1 nanofarad) is charged to 50 V and then disconnected. One can model the charge leakage ofthe capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On acold dry day, the resistance of the air gap is 6x1013 2; on a humid day, the resistance is 7 x 106 2. How long will ittake the capacitor voltage to dissipate to half its original value on each day?On the dry day, it will take 4.159 x 104 seconds.(Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.Round to three decimal places as needed.)On the humid day, it will takeseconds.(Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.Round to three decimal places as needed.)

The capacitance of the capacitor is 10-9 F. The voltage by which the capacitor is charged is 50 V.…

A 10 -F capacitor (1 nanofarad) is charged to 50 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 6x10¹3 2; on a humid day, the resistance is 7 × 10 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?

A 10 -F capacitor (1 nanofarad) is charged to 50 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 6x10¹3 2; on a humid day, the resistance is 7 × 10 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?

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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Concept explainers

Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

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A 10-⁹-F capacitor (1 nanofarad) is charged to 50 V and then disconnected. One can model the charge leakage of
the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a
cold dry day, the resistance of the air gap is 6x1013 2; on a humid day, the resistance is 7 x 106 2. How long will it
take the capacitor voltage to dissipate to half its original value on each day?
On the dry day, it will take 4.159 x 104 seconds.
(Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.
Round to three decimal places as needed.)
On the humid day, it will take
seconds.
(Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.
Round to three decimal places as needed.)

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