What is the magnetic field inside a long solenoid carrying current I?

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Question: What is the magnetic field inside a long solenoid carrying current I?

Options:

Correct Answer: μ₀nI

Solution:

The magnetic field inside a long solenoid is given by B = μ₀nI, where n is the number of turns per unit length.

What is the magnetic field inside a long solenoid carrying current I?

What is the magnetic field inside a long solenoid carrying current I?

Step 1: Understand what a solenoid is. A solenoid is a long coil of wire that can create a magnetic field when an electric current flows through it.
Step 2: Identify the current (I) flowing through the solenoid. This is the electric current that generates the magnetic field.
Step 3: Determine the number of turns per unit length (n) of the solenoid. This means how many loops of wire are in a certain length of the solenoid.
Step 4: Know the constant μ₀, which is called the permeability of free space. Its value is approximately 4π x 10^-7 T·m/A.
Step 5: Use the formula B = μ₀nI to calculate the magnetic field (B) inside the solenoid. Multiply μ₀ by n and then by I.
Step 6: Interpret the result. The value of B tells you the strength of the magnetic field inside the solenoid.

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