Answer to Question #230492 in Electric Circuits for Angie

Question #230492

Each resistance in the diagram below is 2 Ω. Calculate the equivalent (effective) resistance of the circuit, i.e. calculate the equivalent resistance between points A and D.




1
Expert's answer
2021-08-31T10:48:08-0400

R=2ohm

Assume three resistance are connected in series combination


R=R1+R2+R3R=R_1+R_2+R_3

Put value

R=2+2+2=6ohmR=2+2+2=6ohm

Assume three resistance conneted in parallel combination



1R=1R1+1R2+1R3\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}

Put value

1R=12+12+12\frac{1}{R}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}

1R=32\frac{1}{R}=\frac{3}{2}

R=23=0.66ohmR=\frac{2}{3}=0.66 ohm


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