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This problem involves converting a current source in parallel with resistors into a voltage source in series with a resistor using the concept of source transformation. Let me break this down and solve it step-by-step.

### Step 1: Source Transformation Concept
- **Current Source to Voltage Source**: The basic idea is to transform a current source in parallel with a resistor into a voltage source in series with the same resistor.
- The voltage \( V \) of the new voltage source is related to the current \( I \) and the resistance \( R \) by:
  \[
  V = I \times R
  \]
  
### Step 2: Identify Components in the Circuit
- The given circuit has a 3A current source in parallel with two resistors, both \( 2 \Omega \). 
- We combine the two parallel resistors to find the equivalent resistance:
  \[
  \frac{1}{R_{\text{eq}}} = \frac{1}{2 \Omega} + \frac{1}{2 \Omega} = \frac{1}{1 \Omega}
  \]
  So, \( R_{\text{eq}} = 1 \Omega \).

### Step 3: Apply Source Transformation
- Now, the current source of 3A in parallel with \( 1 \Omega \) is transformed into a voltage source in series with the same \( 1 \Omega \) resistor.
- The voltage of the new voltage source is:
  \[
  V = I \times R_{\text{eq}} = 3 \, \text{A} \times 1 \, \Omega = 3 \, \text{V}
  \]

### Step 4: Identify the Values of \( X \) and \( Y \)
- \( X \) is the voltage of the voltage source, which is 3V.
- \( Y \) is the equivalent resistance in the series circuit, which is 1 \( \Omega \).

### Conclusion
The correct values of \( X \) and \( Y \) are:
- \( X = 3 \, \text{V} \)
- \( Y = 1 \, \Omega \)

Thus, the correct answer is:
- **Option c. \( X = 3 \, \text{V}, Y = 1 \, \Omega \)**.

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Would you like more details or have any questions?

### Related Questions:
1. What is the procedure for transforming a voltage source into a current source?
2. How do you combine resistors in parallel for different values of resistance?
3. Can you explain why source transformation is useful in circuit analysis?
4. How would you approach source transformation if there were more complex resistor networks?
5. What happens if the resistors were in series instead of parallel with the current source?

### Tip:
Always ensure that when you use source transformation, the equivalent resistance remains consistent—whether in parallel for current sources or in series for voltage sources.

Using source transformation, convert the given circuit with a 3 A current source in parallel with two 2Ω resistors to a circuit with a voltage source in series with a resistor. What are the values of X (voltage) and Y (resistance)?

Learn how to perform source transformation in electrical circuits by converting a current source in parallel with resistors into a voltage source in series with a resistor. This example features a 3 A current source and two 2Ω resistors. Detailed step-by-step solution included.

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