(A): If changing current is flowing through a machine of iron eddy currents are produced
(R): Change in magnetic flux through an area causes eddy currents

Options

A. Both A and R are true and R is the correct explanation
B. Both A and R are true but R is not the correct explanation of A
C. A is true but R is false
D. Both A and R are false

Answer

To solve the given question, we need to analyze the statements (A) and (R) and determine their validity and relationship.

### Step 1: Understand Statement (A)
Statement (A) states that if a changing current is flowing through a machine made of iron, eddy currents are produced.

**Explanation:**
- When a current flows through a conductor, it creates a magnetic field around it.
- If the current changes (increases or decreases), the magnetic field also changes.
- In conductive materials like iron, these changes in the magnetic field can induce circular currents known as eddy currents.

### Step 2: Understand Statement (R)
Statement (R) states that a change in magnetic flux through an area causes eddy currents.

**Explanation:**
- According to Faraday's law of electromagnetic induction, a change in magnetic flux through a surface induces an electromotive force (emf) in a closed loop surrounding that surface.
- This induced emf can lead to the flow of eddy currents in the material.

### Step 3: Analyze the Relationship
Now, we need to determine if (R) is a correct explanation for (A).

- Since (A) indicates that changing current leads to eddy currents, and (R) explains that the cause of these eddy currents is the change in magnetic flux (which is a result of the changing current), we can conclude that (R) provides a correct explanation for (A).

### Conclusion
Both statements (A) and (R) are true, and (R) is the correct explanation of (A). Therefore, the answer is that both statements are true, and (R) explains (A).

### Final Answer
Both (A) and (R) are true, and (R) is the correct explanation of (A).

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