In a solenoid, if the number of turns per unit length is doubled, what happens t

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Question: In a solenoid, if the number of turns per unit length is doubled, what happens to the magnetic field inside the solenoid?

Options:

Correct Answer: It doubles

Solution:

The magnetic field inside a solenoid is directly proportional to the number of turns per unit length, so it doubles.

In a solenoid, if the number of turns per unit length is doubled, what happens to the magnetic field inside the solenoid?

In a solenoid, if the number of turns per unit length is doubled, what happens to the magnetic field inside the solenoid?

Step 1: Understand what a solenoid is. A solenoid is a coil of wire that creates a magnetic field when an electric current passes through it.
Step 2: Know that the magnetic field inside a solenoid depends on two things: the amount of electric current flowing through the wire and the number of turns of wire per unit length.
Step 3: Recognize that 'turns per unit length' means how many loops of wire are in a certain length of the solenoid.
Step 4: Remember the relationship: the magnetic field inside the solenoid is directly proportional to the number of turns per unit length. This means if you increase the number of turns, the magnetic field increases.
Step 5: If the number of turns per unit length is doubled, the magnetic field will also double because of the direct proportionality.

Magnetic Field in a Solenoid – The magnetic field inside a solenoid is given by the formula B = μ₀ * n * I, where B is the magnetic field, μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current. This shows that the magnetic field is directly proportional to the number of turns per unit length.