(A): Only a change in magnetic flux will maintain an induced current in the coil.
(R): The presence of large magnetic flux through a coil maintains a current in the coil if the circuit is continuous

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 question, we need to analyze the statements (A) and (R) regarding electromagnetic induction and induced current in a coil.

### Step-by-Step Solution:

1. **Understanding Statement (A)**:
- The statement claims that "Only a change in magnetic flux will maintain an induced current in the coil."
- According to Faraday's law of electromagnetic induction, the induced electromotive force (emf) in a coil is proportional to the rate of change of magnetic flux through the coil.
- Therefore, if there is no change in magnetic flux, there will be no induced emf and consequently no induced current.
- This means that statement (A) is **true**.

2. **Understanding Statement (R)**:
- The statement claims that "The presence of large magnetic flux through a coil maintains a current in the coil if the circuit is continuous."
- While a continuous circuit is necessary for current to flow, a constant magnetic flux does not induce a current.
- According to Faraday's law, it is the change in magnetic flux that induces current, not the presence of a large or constant magnetic flux.
- Therefore, statement (R) is **false**.

3. **Conclusion**:
- Based on the analysis, we conclude that statement (A) is true and statement (R) is false.
- Thus, the correct answer is that (A) is true and (R) is false.

### Final Answer:
(A) is true but (R) is false.

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