If two resistors with resistances R, and R, are connected in parallel, as shown in the figure, then the total resistance R, 1 1 measured in ohms (2), is given by R 1 + R1 %3D R2 If R, and R, are increasing at rates of 0.3 S2/s and 0.2 /s, respectively, how fast (in 2/s) is R changing when R, R, = 80 N? (Round your answer to three decimal places.) =50 Ωand
If two resistors with resistances R, and R, are connected in parallel, as shown in the figure, then the total resistance R, 1 1 measured in ohms (2), is given by R 1 + R1 %3D R2 If R, and R, are increasing at rates of 0.3 S2/s and 0.2 /s, respectively, how fast (in 2/s) is R changing when R, R, = 80 N? (Round your answer to three decimal places.) =50 Ωand
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Chapter1: Units, Trigonometry. And Vectors
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![If two resistors with resistances \( R_1 \) and \( R_2 \) are connected in parallel, as shown in the figure, then the total resistance \( R \), measured in ohms (\( \Omega \)), is given by
\[
\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}.
\]
**Diagram Explanation:**
The image shows a diagram of a parallel circuit with two resistors labeled \( R_1 \) and \( R_2 \). These resistors are connected across a parallel configuration with a voltage source.
**Problem Statement:**
If \( R_1 \) and \( R_2 \) are increasing at rates of 0.3 \(\Omega/s\) and 0.2 \(\Omega/s\), respectively, how fast (in \(\Omega/s\)) is \( R \) changing when \( R_1 = 50 \, \Omega \) and \( R_2 = 80 \, \Omega \)? (Round your answer to three decimal places.)
\(\boxed{} \, \Omega/s\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5782fbae-c3f5-4c88-bb43-13f462a030dc%2F24f25383-527a-4e9f-9d55-89524e20fced%2Fysrmub3_processed.png&w=3840&q=75)
Transcribed Image Text:If two resistors with resistances \( R_1 \) and \( R_2 \) are connected in parallel, as shown in the figure, then the total resistance \( R \), measured in ohms (\( \Omega \)), is given by
\[
\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}.
\]
**Diagram Explanation:**
The image shows a diagram of a parallel circuit with two resistors labeled \( R_1 \) and \( R_2 \). These resistors are connected across a parallel configuration with a voltage source.
**Problem Statement:**
If \( R_1 \) and \( R_2 \) are increasing at rates of 0.3 \(\Omega/s\) and 0.2 \(\Omega/s\), respectively, how fast (in \(\Omega/s\)) is \( R \) changing when \( R_1 = 50 \, \Omega \) and \( R_2 = 80 \, \Omega \)? (Round your answer to three decimal places.)
\(\boxed{} \, \Omega/s\)
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