What is the Strength of the Magnetic Field in a Solenoid with Given Parameters?

In summary, the problem asks for the strength of the magnetic field at the center of a 0.20 m long solenoid with 1000 turns and a current of 5.0 A. Using the equation B=μo*nI/l, the calculated value is 3.14x10^-2T. The answer key suggests a value of 6.3x10^-3T, but it is possible that the answer key is incorrect.
  • #1
physgrl
138
0

Homework Statement



A 0.20 m long solenoid contains 1000 turns and carries a current of 5.0 A. What is the strength of the magnetic field at the center of the solenoid if its radius is 10-2m?

a. 35.1*10-1T

b. 8.2*10-1T

c. .95*10-2T

*d. 6.3*10-3T

Homework Equations



B=μo*nI/l

The Attempt at a Solution



B=(4∏*10^-7)*1000*5A/.2m
B=3.14x10^-2T

the answer key says its 6.3x10^-3T...what am I doing wrong?
 
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  • #2
physgrl said:

Homework Statement



A 0.20 m long solenoid contains 1000 turns and carries a current of 5.0 A. What is the strength of the magnetic field at the center of the solenoid if its radius is 10-2m?

a. 35.1*10-1T

b. 8.2*10-1T

c. .95*10-2T

*d. 6.3*10-3T

Homework Equations



B=μo*nI/l

The Attempt at a Solution



B=(4∏*10^-7)*1000*5A/.2m
B=3.14x10^-2T

the answer key says its 6.3x10^-3T...what am I doing wrong?

It could be that the answer key is wrong since your calculation looks fine.
 
  • #3
Thanks!
 

1. What is a magnetic field?

A magnetic field is an area around a magnet or electric current in which magnetic forces can be detected. It is represented by lines of force that indicate the direction and strength of the field.

2. How is a magnetic field created?

A magnetic field is created by moving electric charges, such as the movement of electrons in an electric current. It can also be created by permanent magnets, which have their own magnetic fields due to the alignment of their atoms.

3. What is the difference between a permanent magnet and an electromagnet?

A permanent magnet has a consistent magnetic field that does not require an external power source, whereas an electromagnet produces a magnetic field only when an electric current is flowing through it. The strength of an electromagnet can also be adjusted by changing the amount of current flowing through it.

4. What is a solenoid?

A solenoid is a coil of wire that carries an electric current. When a current flows through a solenoid, it creates a magnetic field with a north and south pole. Solenoids are commonly used in electronic devices, such as doorbells and speakers.

5. How are solenoids used in everyday life?

Solenoids have a wide range of applications in everyday life. They are used in electronic devices, such as televisions and computers, to control the flow of electricity. They are also used in car engines to control fuel flow and ignition timing. Additionally, solenoids are used in industrial machinery and equipment, such as valves and actuators, to control fluid flow and movement.

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