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Q47 (NDA-I/2019) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Electricity and magnetism Answer Verified

Consider the following statements about a solenoid: 1. The magnetic field strength in a solenoid depends upon the number of turns per unit length in the solenoid 2. The magnetic field strength in a solenoid depends upon the current flowing in the wire of the solenoid 3. The magnetic field strength in a solenoid depends upon the diameter of the solenoid Which of the statements given above are correct?

Result
Your answer: —  Â·  Correct: D
Explanation

The magnetic field strength (B) inside an ideal long solenoid is given by the formula B = μ₀nI, where μ₀ is the permeability of free space, 'n' is the number of turns per unit length, and 'I' is the current. Statement 1 is correct because the field is directly proportional to the turn density (n). Statement 2 is correct as the field strength is directly proportional to the electric current flowing through the wire. Statement 3 is incorrect for an ideal or long solenoid; the formula B = μ₀nI shows that the field strength depends only on the turn density and current, and is independent of the solenoid's diameter or cross-sectional area. While the uniformity of the field may relate to the length-to-radius ratio, the magnitude of the internal field in the standard approximation does not depend on the diameter.

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