How strong is the magnetic field inside a solenoid with 10,000turns per meter that carries 20.0 A?

Short Answer

Expert verified

The magnetic field strength inside a solenoid carrying 20.0 A current having 10,000 turns per meter is 0.25 T

Step by step solution

01

Definition of magnetic field

A magnetic field is defined as a position in space near a magnet or an electric current where a physical field is formed by a moving electric charge applying force on another moving electric charge.

02

Given information and formula to used

The number of turns per meter is N=10000

The current in the loop is, I=20.0A

The magnetic field inside a solenoid can be estimated as,

B=μ0NI…………….(1)

Where μ0is the magnetic permeability of free space.

03

Step 3: Calculation for Magnetic field inside a solenoid:

Substitute the values in the above expression, we will get

B=4π×10-7N/m2×10000×20.0A=0.25T

Therefore, the magnetic field strength inside a solenoid carrying 20.0A current having 10,000 turns per meter is 0.25T .

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