(A) (B) Pmax in R Figure 2: 2. In figure 2A the power consumed by the resistor R is ?R (a) : P = 12 R = (True, False) (R+r)2 (b) A qualitative plot of the power consumed by the variable resistor R is given in figure 2B (True, False) (c) For a variable resistor R the maximum power delivered to the variable resistor R can be found as follows: r- R dP = 0 - dR (R+r)3 = 0 - R =r- Pmaz = (True, False) 4r (d) The power delivered by the battery for part(c) is and power consumed by cach resistor is
(A) (B) Pmax in R Figure 2: 2. In figure 2A the power consumed by the resistor R is ?R (a) : P = 12 R = (True, False) (R+r)2 (b) A qualitative plot of the power consumed by the variable resistor R is given in figure 2B (True, False) (c) For a variable resistor R the maximum power delivered to the variable resistor R can be found as follows: r- R dP = 0 - dR (R+r)3 = 0 - R =r- Pmaz = (True, False) 4r (d) The power delivered by the battery for part(c) is and power consumed by cach resistor is
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Figure 2:**
**2. Analysis of Power Consumption in a Circuit**
(a) **Power Consumed by Resistor R (Figure 2A):**
The power consumed by the resistor \( R \) is given by the formula:
\[
P = I^2 R = \frac{\varepsilon^2 R}{(R + r)^2} \quad (\text{True, False})
\]
(b) **Qualitative Plot of Power Consumption (Figure 2B):**
A qualitative plot illustrating the power consumed by the variable resistor \( R \) is depicted in Figure 2B. \( (\text{True, False}) \)
(c) **Maximizing Power Delivered to Variable Resistor R:**
For a variable resistor \( R \), the maximum power delivered can be calculated as follows:
\[
\frac{dP}{dR} = 0 \rightarrow \frac{r - R}{(R + r)^3} = 0 \rightarrow R = r \rightarrow P_{\text{max}} = \frac{\varepsilon^2}{4r} \quad (\text{True, False})
\]
(d) **Power Delivered by the Battery in Part (c):**
The total power delivered by the battery for the calculation in part (c) is \(\frac{\varepsilon^2}{2r}\). The power consumed by each resistor is \(\frac{\varepsilon^2}{4r}\).
**Diagram Explanation:**
- **Figure 2A** depicts a circuit with a resistor \(R\) in series with an internal resistor \(r\) and a battery with electromotive force \(\varepsilon\).
- **Figure 2B** shows a graph of power \(P\) on the y-axis versus the resistance \(R\) on the x-axis. The graph illustrates a peak at \(P_{\text{max}}\), showing the point where maximum power is delivered to the resistor \(R\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90ba196a-a4da-4c5b-97fd-f3d58be17337%2F0833eff2-4043-4af2-a1d7-53c7635d2010%2Fy8kqksh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Figure 2:**
**2. Analysis of Power Consumption in a Circuit**
(a) **Power Consumed by Resistor R (Figure 2A):**
The power consumed by the resistor \( R \) is given by the formula:
\[
P = I^2 R = \frac{\varepsilon^2 R}{(R + r)^2} \quad (\text{True, False})
\]
(b) **Qualitative Plot of Power Consumption (Figure 2B):**
A qualitative plot illustrating the power consumed by the variable resistor \( R \) is depicted in Figure 2B. \( (\text{True, False}) \)
(c) **Maximizing Power Delivered to Variable Resistor R:**
For a variable resistor \( R \), the maximum power delivered can be calculated as follows:
\[
\frac{dP}{dR} = 0 \rightarrow \frac{r - R}{(R + r)^3} = 0 \rightarrow R = r \rightarrow P_{\text{max}} = \frac{\varepsilon^2}{4r} \quad (\text{True, False})
\]
(d) **Power Delivered by the Battery in Part (c):**
The total power delivered by the battery for the calculation in part (c) is \(\frac{\varepsilon^2}{2r}\). The power consumed by each resistor is \(\frac{\varepsilon^2}{4r}\).
**Diagram Explanation:**
- **Figure 2A** depicts a circuit with a resistor \(R\) in series with an internal resistor \(r\) and a battery with electromotive force \(\varepsilon\).
- **Figure 2B** shows a graph of power \(P\) on the y-axis versus the resistance \(R\) on the x-axis. The graph illustrates a peak at \(P_{\text{max}}\), showing the point where maximum power is delivered to the resistor \(R\).
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