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(C) By labeling the nodes of the circuit,we can identify the potential at each point. Let the left terminal be $A$ and the right terminal be $B$.By tr

Vedclass · Accepted Answer

$\frac{r}{9}$

Vedclass · Answer

(C) By labeling the nodes of the circuit,we can identify the potential at each point. Let the left terminal be $A$ and the right terminal be $B$.By tracing the connections,we observe that all three resistors,each of value $\frac{r}{3}$,are connected in parallel between points $A$ and $B$.For resistors connected in parallel,the equivalent resistance $R_{eq}$ is given by:$\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$Substituting $R_1 = R_2 = R_3 = \frac{r}{3}$:$\frac{1}{R_{eq}} = \frac{1}{r/3} + \frac{1}{r/3} + \frac{1}{r/3} = \frac{3}{r} + \frac{3}{r} + \frac{3}{r} = \frac{9}{r}$Therefore,$R_{eq} = \frac{r}{9}$.

Find the equivalent resistance between the two ends of the following circuit.

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