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Comments on Voltage and Current of capacitor

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Voltage and Current of capacitor

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How do I find the voltage of the capacitor and the current through the capacitor after the switch is closed?

hi

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1 comment thread

Much better schematic, +1. (1 comment)
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After the switch is closed:

hi

The general formula for finding the voltage of the capacitor is:

hi

where Vf is the voltage of the inductor after infinite time,Vo is the voltage of the capacitor at the time the switch is closed

Because capacitors resist any change in voltage

hi

This tells us that at the moment the switch is closed the voltage of the capacitor will be equal to its voltage before the switch is closed whichcis equal to 0.

hi

As t tends to infinity the inductor will act as a open circuit which means that by voltage division the voltage will be 0.88V

the R in the exponent is the total resistance seen by the capacitor which is:

hi

so the voltage of the capacitor equation will be:

hi

and the current through the capacitor will be:

hi

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3 comment threads

SI Unit symbols vs. variables (3 comments)
Sloppiness with units not tolerated here! (5 comments)
You need to do some proofreading. (3 comments)
SI Unit symbols vs. variables
Elliot Alderson‭ wrote about 3 years ago

When you formally write equations, please remember that the symbols used for SI units, such as A for amperes and V for volts, are not italicized. An italic V is a variable, and upright V is the symbol for volts.

MissMulan‭ wrote about 3 years ago

I am using a LateX editor so I cant do what you want.

Elliot Alderson‭ wrote almost 3 years ago

Of course you can. The siunitx package is ideally suited for this.