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A long, straight wire carries a current ...

A long, straight wire carries a current `i`. The magnetizing field intensity `H` is measured at a point `P` close to the wire. A long, cylindrical iron rod is brought close to the wire so that the point `P` is at the centre of the rod. The value of `H` at `P` will

A

increase many times

B

decrease many times

C

remain almost constant

D

become zero

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze how the introduction of a cylindrical iron rod near a long straight wire carrying a current affects the magnetic field intensity \( H \) at a point \( P \) located at the center of the rod. ### Step-by-Step Solution: 1. **Understanding the Magnetic Field Intensity \( H \)**: - The magnetic field intensity \( H \) around a long straight wire carrying a current \( i \) is given by the formula: \[ H = \frac{i}{2\pi r} \] where \( r \) is the distance from the wire to the point where \( H \) is being measured. 2. **Position of Point \( P \)**: - In this case, point \( P \) is located close to the wire, and we consider it to be at the center of the cylindrical iron rod that is being introduced. 3. **Effect of the Iron Rod**: - The iron rod is a ferromagnetic material, which means it can become magnetized in the presence of a magnetic field. However, the magnetic field intensity \( H \) is defined independently of the medium. - The magnetic field intensity \( H \) is a property of the current \( i \) flowing through the wire and does not change with the introduction of the iron rod. 4. **Conclusion**: - Since \( H \) is independent of the medium surrounding the wire, the value of \( H \) at point \( P \) will remain constant even after the iron rod is brought close to the wire. - Therefore, the correct answer is that the value of \( H \) at point \( P \) will **remain almost constant**. ### Final Answer: The value of \( H \) at point \( P \) will remain almost constant.
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