Magnetism - Quick solenoid question

In summary, the conversation discusses calculating the magnetic field inside a solenoid with given dimensions and current. The equation B = \mu0ni is used, but the incorrect current was initially used, resulting in an incorrect answer. After realizing the mistake and using the correct current, the correct answer of 0.3 mT is obtained.
  • #1
thehammer
15
0

Homework Statement


A 200-turn solenoid having a length of 25cm and a diameter of 10cm carries a current of 0.29A. Calculate the magnitude of the magnetic field B inside the solenoid.


Homework Equations


B = [tex]\mu[/tex]0ni


The Attempt at a Solution


Well, I plugged the numbers into the equation and got 7.28x10^-5 T as the answer. However, this is wrong. The correct answer is meant to be 0.3 mT. I can't see where I've gone wrong because the magnetic field inside a solenoid is meant to be independent of its dimensions, right?

EDIT: I found the number of turns per unit length, then put that into the equation and still get the wrong answer. I'm confused.

B = 4[tex]\pi[/tex]x10-7 Tm/A x (200/0.25) x 7.5A = 7.28x10^-5.

I've no idea why I get that. Maybe the diameter has some significance that I haven't managed to see yet.
 
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  • #2
Show exactly what you plugged in for each factor.
 
  • #3
thehammer said:
A 200-turn solenoid having a length of 25cm and a diameter of 10cm carries a current of 0.29A.
...
B = 4[tex]\pi[/tex]x10-7 Tm/A x (200/0.25) x 7.5A = 7.28x10^-5.
Looks to me like you are using the wrong current.
 
  • #4
Oops. I apologise for wasting time. I used a current from a different question by accident :).
 

FAQ: Magnetism - Quick solenoid question

1) What is a solenoid?

A solenoid is a coil of wire with electric current flowing through it. It produces a magnetic field that can be used for a variety of purposes, such as electromagnets or motors.

2) How does a solenoid work?

A solenoid works by using the right-hand rule, which states that if you point your right thumb in the direction of the current flow, your fingers will curl in the direction of the magnetic field. The wire's magnetic field wraps around the coil, creating a strong magnetic force.

3) What is the difference between a solenoid and an electromagnet?

A solenoid is a coil of wire, while an electromagnet is a solenoid with an iron core. The iron core helps to increase the strength of the magnetic field produced by the solenoid.

4) What is the purpose of a solenoid in electronics?

Solenoids are commonly used in electronics to create controlled magnetic fields for various applications. They can be used to open and close valves, create motion in motors, and generate electricity in generators.

5) How do you calculate the strength of a solenoid's magnetic field?

The strength of a solenoid's magnetic field can be calculated by multiplying the current in the wire by the number of turns in the coil, and then dividing by the length of the coil. This is known as the magnetic field strength formula, and it is measured in units of tesla (T).

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