A capacitor with initial charge q0 is discharged through a resistor. a) In terms of the time constant τ, how long is required for the capacitor to lose the first one-ninth of its charge? b) How long is required for the capacitor to lose the first two-ninths of its charge?

It would take time for the capacitor to discharge from to .

It would take time for the capacitor to discharge from to .

Note that , and that.

Explanation:

In an RC circuit, a capacitor is connected directly to a resistor. Let the time constant of this circuit is , and the initial charge of the capacitor be . Then at time , the charge stored in the capacitor would be:

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Apply the equation :

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The goal is to solve for in terms of . Rearrange the equation:

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Take the natural logarithm of both sides:

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Apply the equation :

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The goal is to solve for in terms of . Rearrange the equation:

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Take the natural logarithm of both sides:

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answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation

get the total number of pieces of fruit and divide it by 4 to get the average. the result is the answer to the problem. 14 total number of fruits and there are 4 members. 14 divided by 4 is equals to 3.5.