Along solenoid carries a current. if the radius of the solenoid were doubled, and all other quantities remained the same, the magnetic field inside the solenoid would

The magnetic field would remain the same

Explanation:

The magnetic field inside a solenoid is given by

where

is the vacuum permeability

I is the current in the solenoid

n is the number of turns of the solenoid per unit length

In this problem, we have that the radius of the solenoid is doubled, while all other quantities remain the same. However, we see that the magnetic field inside the solenoid does not depend on its radius: therefore, the magnetic field does not change.

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