Magnetism: magnetic feild strength of a wire

In summary, the conversation discusses the use of the Biot-Savart Law to find the field strength at different points along a wire with a diameter of 1.0 mm and carrying 5.0 A uniformly over its cross section. The conversation includes two questions: finding the field strength 0.10 mm from the wire's axis and finding the field strength at the wire's surface. The solution provided uses the correct equation but uses the wrong radius for the first question. The correct radius to use is 0.1*10^-3, which gives a solution of 0.01T.
  • #1
physicsStudent00

Homework Statement



A wire 1.0 mm in diameter carries 5.0 A distributed uniformly over its cross section.

a) Find the field strength 0.10 mm from its axis.

b) Find the field strength at the wire’s surface

Homework Equations

The Attempt at a Solution


I've used the Biot-Savart Law for a wire for both of the questions and had the wrong answer both times. Using the wire law: B=(μ_0)(I)/2πr
a) B=(μ_0)(5)/2π((1+0.1)*10^-3) = 9.091*10^-4
b) uses the same approach

i don't understand what numbers to be using or if I'm using the wrong equation's here?
any help is much appreciated
 
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  • #2
a) asks for 0.1 mm from its axis, not from its surface
 
  • #3
BvU said:
a) asks for 0.1 mm from its axis, not from its surface
by taking the radius as 0.1*10^-3 it gives 0.01T which still is wrong
 
  • #4
How much current is within this ##10^{-4}## m radius ?

In other words: does your
physicsStudent00 said:
Using the wire law: B=(μ_0)(I)/2πr
apply inside the wire ?
 
Last edited:

1. What is the equation for calculating the magnetic field strength of a wire?

The equation for calculating the magnetic field strength of a wire is B = μ₀I/2πr, where B is the magnetic field strength, μ₀ is the permeability constant, I is the current in the wire, and r is the distance from the wire.

2. How does the current in the wire affect the magnetic field strength?

The magnetic field strength is directly proportional to the current in the wire. This means that as the current increases, the magnetic field strength also increases.

3. What is the unit of measurement for magnetic field strength?

The unit of measurement for magnetic field strength is tesla (T) or gauss (G). 1 tesla is equal to 10,000 gauss.

4. How does the distance from the wire affect the magnetic field strength?

The magnetic field strength is inversely proportional to the distance from the wire. This means that as the distance increases, the magnetic field strength decreases.

5. Can the magnetic field strength of a wire be affected by external factors?

Yes, the magnetic field strength of a wire can be affected by external factors such as the presence of other magnetic fields or the type of material the wire is surrounded by. This is known as magnetic interference.

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