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

0.25 $\mathrm{T}$

Physics 102 Electricity and Magnetism

Chapter 22

Magnetism

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Electromagnetic Induction

Inductance

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

University of Sheffield

Lectures

08:42

In physics, a magnetic fie…

04:28

A magnetic field is a math…

01:03

A wire, $20.0-m$ long, mov…

00:57

What is the maximum electr…

00:42

A long solenoid that has 1…

03:48

A 20-A current flows throu…

01:39

A solenoid is wound with 2…

00:58

01:22

A long solenoid that has $…

01:50

The 12.0 cm long rod in Fi…

03:28

A strong electromagnet pro…

00:41

A 200 -turn solenoid havin…

02:10

A long solenoid with 10.0 …

02:23

00:40

A solenoid that is 95.0 $\…

01:25

A current of 1.5 A flows t…

00:44

A 30.0 -turn solenoid of l…

08:39

A long solenoid with $1.00…

08:45

The magnetic field insid…

01:52

A solenoid has 12 tums per…

00:53

A 40.0 -cm-long copper wir…

01:30

A 15.0 -cm-long solenoid w…

So here the magnetic The magnitude of the magnetic field at the center of a solenoid would be equaling the magnetic permeability of a vacuum multiplied by end the number of loops per unit length of the soul Lloyd Times I the current through the solenoid. And so this would be equaling for pie times 10 to the negative seventh Tesla's meters per AMP. Multiplied by 10,000 turns. Pyra meter multiplied by 20 amps, and we find that the magnitude of the magnetic field is 0.251 Tesla's. This would be our final answer for the magnetic field at the center of a solenoid. That is the end of the solution. Thank you for watching.

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