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ranger

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What is the current divider rule?

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ranger

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Its used to find current when resistances are hooked up in parallel with each other. Here is a wiki picture that should clear things up for you:

http://upload.wikimedia.org/wikipedia/en/4/47/Cdr.GIF [Broken]

http://upload.wikimedia.org/wikipedia/en/4/47/Cdr.GIF [Broken]

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ranger

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[tex] I_x = \frac{V_s}{R_x}[/tex]

[tex]V_s = I_TR_T[/tex] <--the source voltage is equal to the total current times the total resistance.

Now substituting [itex]I_TR_T[/itex] for V

[tex]I_x = \frac{I_TR_T}{R_x}[/tex]

We can therefore conclude that the current through any parallel resistor is in fact:

[tex]I_x = \frac{R_T}{R_x}\cdot I_T[/tex]

Hope it helps/

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