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Consider the following statements (i) ...

Consider the following statements
(i) for a permanent magnet the area of a hysteresis loop is allowed to be large
(ii) Coercivity o the material in permanent magnets should be small.
Which of the following statements is/are true?

A

(i) but not (ii)

B

(ii) but not (i)

C

Both (i) and (ii)

D

Neither (i) nor (ii)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the two statements provided about permanent magnets and determine their validity. ### Step-by-Step Solution: 1. **Understanding Hysteresis Loop**: - The hysteresis loop represents the relationship between the magnetic field strength (H) and the magnetic flux density (B) in a magnetic material. The area of this loop indicates energy loss due to magnetization and demagnetization processes. 2. **Analyzing Statement (i)**: - The first statement claims that "for a permanent magnet, the area of a hysteresis loop is allowed to be large." - A large area in the hysteresis loop indicates that the material has high energy losses during magnetization and demagnetization. However, for a good permanent magnet, we want the area to be large to ensure that the material can retain a significant amount of magnetic energy after the external magnetic field is removed. Thus, this statement is **true**. 3. **Analyzing Statement (ii)**: - The second statement claims that "coercivity of the material in permanent magnets should be small." - Coercivity is the measure of the resistance of a magnetic material to changes in magnetization. For permanent magnets, we want high coercivity so that the magnet can maintain its magnetization against external demagnetizing influences. Therefore, this statement is **false**. 4. **Conclusion**: - Based on the analysis, we conclude that: - Statement (i) is true. - Statement (ii) is false. - Therefore, the correct answer is that only the first statement is true. ### Final Answer: - **Only statement (i) is true.**

To solve the problem, we need to analyze the two statements provided about permanent magnets and determine their validity. ### Step-by-Step Solution: 1. **Understanding Hysteresis Loop**: - The hysteresis loop represents the relationship between the magnetic field strength (H) and the magnetic flux density (B) in a magnetic material. The area of this loop indicates energy loss due to magnetization and demagnetization processes. 2. **Analyzing Statement (i)**: ...
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