Find the resistance of the given circuit between the x and y 3 ohm 3 ohm 3ohm
Answers
Explanation:
It may not look it at first glance but with the configuration you’ve designed you have two paths for current to flow when you place an ohmmeter between points A and B, In other words you have a parallel circuit containing two resistances. Path 1 is AB (or 40 ohms) and Path 2 is BC +CA (or 160 ohms). It is known that the effective resistance, Re, of two resistors in parallel is given by the product of the two resistors divided by their sum or:
Re=(40)*(160)/(40+160) = 32 ohms
This calculation used the special case equation for two resistors in parallel. For the general case of n resistors in parallel the equation is:
i/Re=1/R1+1/R2+1/R3+…+1/Rn
In words: the inverse of the effective resistance is equal to the sum of the inverse of each individual resistor.
