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Calculate the Rx value necessary to dissipated 1 Watt power, where Vs=1V

To solve this problem, we need to calculate the value of \( R_x \) that dissipates 1 watt of power when \( V_s = 1 \, \text{V} \).

### Step 1: Analyzing the circuit
- We have a 1A current source and a voltage source \( V_s = 1 \, \text{V} \) on the right side of the circuit.
- There are three resistors in the circuit: \( 10 \, \Omega \), \( 2 \, \Omega \), and \( R_x \) (the one we need to solve for).
- The current source generates a current of 1A in the left loop, passing through the \( 10 \, \Omega \) resistor.
- The voltage source \( V_s \) in the right loop is connected to \( 2 \, \Omega \) and \( R_x \).

### Step 2: Using Power Dissipation Formula
The power dissipated in a resistor is given by:
\[
P = \frac{V^2}{R}
\]
Given that the power dissipated across \( R_x \) is 1 watt, and the voltage across it is \( V_x \), we can use this formula to find \( R_x \). 

We need to find the voltage across \( R_x \), which will depend on how the voltage \( V_s \) is distributed across \( R_x \) and the other resistors in the circuit.

### Step 3: Voltage across \( R_x \)
Let me calculate the voltage and resistance values involved.The value of \( R_x \) required to dissipate 1 watt of power is \( 1 \, \Omega \).

Would you like further clarification on any part of the solution or additional details on how to analyze the circuit?

Here are five related questions you might find useful:
1. How would the circuit change if the power dissipated in \( R_x \) were different?
2. What happens to the total current in the circuit if \( R_x \) is changed?
3. How can we calculate the total power dissipated in the entire circuit?
4. What is the effect of increasing the voltage \( V_s \) on the circuit’s power dissipation?
5. Can we apply Thevenin's theorem to simplify this circuit for easier analysis?

**Tip**: In circuits involving both current and voltage sources, analyzing loops using Kirchhoff's laws can help break down the voltage and current relationships systematically.

Calculate the Rx value necessary to dissipate 1 Watt power, where Vs=1V.

Learn how to calculate the value of resistance Rx that dissipates 1 watt of power when connected in a circuit with a 1V voltage source. Explore key concepts in circuit analysis, including Ohm's Law and power dissipation formulas, suitable for high school and undergraduate students.

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