Questions: alelo. Dessa maneira coda rma independente. A figure es em paralelo

alelo. Dessa maneira coda rma independente. A figure es em paralelo
Transcript text: alelo. Dessa maneira coda rma independente. A figure es em paralelo
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Solution

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Solution Steps

Step 1: Identify the Resistors in Parallel

The circuit diagram shows three resistors: 3Ω, 6Ω, and 9Ω, connected in parallel.

Step 2: Use the Formula for Parallel Resistors

The formula for the equivalent resistance \( R_{eq} \) of resistors in parallel is: \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \] where \( R_1 = 3Ω \), \( R_2 = 6Ω \), and \( R_3 = 9Ω \).

Step 3: Calculate the Reciprocal of Each Resistor

\[ \frac{1}{R_1} = \frac{1}{3} \] \[ \frac{1}{R_2} = \frac{1}{6} \] \[ \frac{1}{R_3} = \frac{1}{9} \]

Step 4: Sum the Reciprocals

\[ \frac{1}{R_{eq}} = \frac{1}{3} + \frac{1}{6} + \frac{1}{9} \] \[ \frac{1}{R_{eq}} = \frac{6}{18} + \frac{3}{18} + \frac{2}{18} \] \[ \frac{1}{R_{eq}} = \frac{11}{18} \]

Step 5: Calculate the Equivalent Resistance

\[ R_{eq} = \frac{18}{11} \] \[ R_{eq} \approx 1.64Ω \]

Final Answer

The equivalent resistance of the three resistors in parallel is approximately \( 1.64Ω \).

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