Directions: In the following questions, a statement of assertion (A) ...
The magnetic field is independent of length and area. It is uniform inside the solenoid.
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Directions: In the following questions, a statement of assertion (A) ...
Assertion: The magnetic field produced by a current-carrying solenoid is independent of its length and cross-section area.
Reason: The magnetic field inside the solenoid is uniform.
To determine the correctness of the given assertion and reason, let's break down the statement and analyze each part separately.
Understanding the Assertion:
The assertion states that the magnetic field produced by a current-carrying solenoid is independent of its length and cross-section area. In other words, regardless of the length or cross-section area of the solenoid, the magnetic field it produces remains the same.
Understanding the Reason:
The reason provided for the assertion is that the magnetic field inside the solenoid is uniform. This means that the magnetic field strength is the same at all points inside the solenoid.
Evaluating the Assertion and Reason:
To evaluate the assertion and reason, let's consider the key characteristics of a solenoid and its magnetic field:
1. A solenoid is a cylindrical coil of wire that carries an electric current.
2. The magnetic field produced by a solenoid is directly proportional to the current flowing through it.
3. The magnetic field inside a solenoid is strong and uniform.
Explanation:
The assertion is true because the magnetic field produced by a solenoid is indeed independent of its length and cross-section area. This is because the magnetic field strength is directly proportional to the current flowing through the solenoid, not its physical dimensions. Therefore, changing the length or cross-section area of the solenoid will not affect the magnetic field it produces.
The reason is also true because the magnetic field inside a solenoid is indeed uniform. Due to the closely spaced turns of wire in a solenoid, the magnetic field lines are parallel and evenly distributed. This uniform arrangement of the magnetic field lines ensures that the magnetic field strength is the same at all points inside the solenoid.
Conclusion:
Both the assertion and reason are true. While the reason does support the assertion, it is not necessary to explain why the magnetic field produced by a current-carrying solenoid is independent of its length and cross-section area. Therefore, the correct answer is option 'B' - Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
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