Question

When the number of turns in a solenoid and its length are both doubled, the ratio of the magnitude of the new magnetic field inside to the magnitude of the original magnetic field inside is:

Answer 1

If you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.

A solenoid is a device comprised of a coil of wire, the housing and a moveable plunger (armature). When an electrical current is introduced, a magnetic field forms around the coil which draws the plunger in.

The magnitude of the magnetic field in an infinite (L>>R) solenoid, is proportional to:

I*N/L

Where

I = current

N = number of turns

L = length of wire

So, if you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.

Learn more about solenoid here

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