- #1

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combined resistance = sum of resistance * # of resistors

^{-2}

I checked wikipedia and there was nothing there above 2 resistors.

- Thread starter hl_world
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- #1

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combined resistance = sum of resistance * # of resistors

I checked wikipedia and there was nothing there above 2 resistors.

- #2

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In particular, look at the equation that begins

1/R_{total} = ...

- #3

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A way to derive the equation that's been posted is to realize that the voltage across each resistor is the same. Since we know the basic V=IR, we can figure out the current going to each resistor. The sum of the currents is going to be the same as the current of an equivalent resistance for the given voltage. So you get....

[tex]\frac{V}{R_1}+\frac{V}{R_2}+...+\frac{V}{R_n}=\frac{V}{R_{equivalent}} [/tex]. From there, just divide out the voltage V.

- #4

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- #5

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Only if all of the resistors are the same. Even then, your equation reduces down to...

[tex]R_{equivalent}=\frac{R}{n}[/tex] where n is the number of resistors.

- #6

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1

How can a path with

- #7

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- #8

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Oh right; I see now. Thanks

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