Learning Goal: This problem aims to help you practice calculating power dissipation in different circuit elements. It will also give you insights into hơw power is conserved in a circuit. (a) Find the expressions of power dissipated by cach element in the cirecuit above. Remember to label voltage-current pairs using passive sign convention. (b) Use R= Sk£2, V, = sv, and /= SmA. Calculate the power dissipated by the voltage source (R;,), the current source (P), and the resistor (Pg). (e) Once again, let R == SkN, V, = 5V. What does the value / of the current source have to be such that the current source dissipates 40mW? Note that it is possible for a current source to dissipate power, ie. under passive sign convention, P, = 40mW. For this value of 1, compute P P), and Pg as well. As an aside: lf the current source were delivering power it would have been P = -40mW, under passive sign convention, but this is NOT what the question is asking about.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Learning Goal:** This problem aims to help you practice calculating power dissipation in different circuit elements. It will also give you insights into how power is conserved in a circuit.

**Diagram Explanation:**

The image shows a simple electrical circuit with the following components:
- A voltage source \( V_s \)
- A resistor \( R \)
- A current source \( I \)

**Tasks:**

(a) Find the expressions of power dissipated by each element in the circuit above. Remember to label voltage-current pairs using passive sign convention.

(b) Use \( R = 5 \text{k}\Omega \), \( V_s = 5 \text{V} \), and \( I = 5 \text{mA} \). Calculate the power dissipated by the voltage source (\( P_{Vs} \)), the current source (\( P_I \)), and the resistor (\( P_R \)).

(c) Once again, let \( R = 5 \text{k}\Omega \), \( V_s = 5 \text{V} \). What does the value \( I \) of the current source have to be such that the current source dissipates 40mW? Note that it is possible for a current source to dissipate power; i.e., under passive sign convention, \( P_I = 40 \text{mW} \). For this value of \( I \), compute \( P_{Vs} \), \( P_I \), and \( P_R \) as well.

*As an aside:* If the current source were delivering power, it would have been \( P_I = -40 \text{mW} \), under passive sign convention, but this is **NOT** what the question is asking about.
Transcribed Image Text:**Learning Goal:** This problem aims to help you practice calculating power dissipation in different circuit elements. It will also give you insights into how power is conserved in a circuit. **Diagram Explanation:** The image shows a simple electrical circuit with the following components: - A voltage source \( V_s \) - A resistor \( R \) - A current source \( I \) **Tasks:** (a) Find the expressions of power dissipated by each element in the circuit above. Remember to label voltage-current pairs using passive sign convention. (b) Use \( R = 5 \text{k}\Omega \), \( V_s = 5 \text{V} \), and \( I = 5 \text{mA} \). Calculate the power dissipated by the voltage source (\( P_{Vs} \)), the current source (\( P_I \)), and the resistor (\( P_R \)). (c) Once again, let \( R = 5 \text{k}\Omega \), \( V_s = 5 \text{V} \). What does the value \( I \) of the current source have to be such that the current source dissipates 40mW? Note that it is possible for a current source to dissipate power; i.e., under passive sign convention, \( P_I = 40 \text{mW} \). For this value of \( I \), compute \( P_{Vs} \), \( P_I \), and \( P_R \) as well. *As an aside:* If the current source were delivering power, it would have been \( P_I = -40 \text{mW} \), under passive sign convention, but this is **NOT** what the question is asking about.
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