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

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

Step 1: Understand what a solenoid is. A solenoid is a long coil of wire that creates a magnetic field when an electric current passes through it.
Step 2: Know that the solenoid is 'ideal' which means it is long enough that we can ignore the effects at the ends.
Step 3: Identify the variables in the formula. B is the magnetic field, μ₀ is the permeability of free space (a constant), n is the number of turns of wire per unit length, and I is the current flowing through the wire.
Step 4: Remember the formula for the magnetic field inside the solenoid: B = μ₀nI.
Step 5: To find the magnetic field, you need to know the values of n (turns per unit length) and I (current).
Step 6: Plug the values of n and I into the formula to calculate B.

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