1 1 1 = If two resistors with resistances R₁ and R₂ are connected in parallel, as shown in the figure, then the total resistance R, measured in ohms (22), is given by RR₁ R₂ R₁ R₂ If R₁ and R₂ are increasing at rates of 0.3 /s and 0.2 /s, respectively, how fast (in 2/s) is R changing when R₁ = 50 2 and R₂ = 70 2? (Round your answer to three decimal places.) Ως

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Q17. Please answer this question

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 Description:**

The diagram shows two resistors in parallel. A battery symbol is on the left, connected to parallel lines that lead into two resistors labeled \( R_1 \) and \( R_2 \). The setup illustrates the parallel connection.

**Problem:**

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 \( R_2 = 70 \, \Omega \)? (Round your answer to three decimal places.)

Input box for answer:  \(\_\_\_\_\_\) \(\Omega\)/s.
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 Description:** The diagram shows two resistors in parallel. A battery symbol is on the left, connected to parallel lines that lead into two resistors labeled \( R_1 \) and \( R_2 \). The setup illustrates the parallel connection. **Problem:** 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 \( R_2 = 70 \, \Omega \)? (Round your answer to three decimal places.) Input box for answer: \(\_\_\_\_\_\) \(\Omega\)/s.
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