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Paul_Wonnacott_Equivalent_Resistance_ECE201S15


Practice question for ECE201: "Linear circuit analysis I"

By: ECE student Paul Wonnacott

Topic: Equivalent Resistor Network


Question

Determine the equivalent resistance of the resistor network shown below. https://www.projectrhea.org/rhea/images/3/35/Resistor_Network.pdf



Answer

First, combine the two 2 ohm resistors that are in parallel to get a 1 ohm resistor. Sum this with the 3 ohm since they are in series to get 4 ohms. Then combine the 6 and the vertically oriented 4 ohm resistors in parallel to get a 2.4 ohm resistor. Add this with the 4 and 5 ohms that are in series to get an equivalent resistance of 11.4 ohms.


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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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