Magnitude and Direction of Magnetic Field

Now, to summarize the conversation:In summary, the magnitude and direction of the magnetic field at point A, where two long straight wires carrying 3.4 A of current are crossed with distances of 12.0 cm and 6.0 cm, can be calculated using the equation B=(Mu)(I)/(2pie)(r). The correct answer is 5.7 x 10^-6 T out of the page.
  • #1
hardwork
20
0

Homework Statement


Two long straight wires each carry 3.4 A of current and are crossed, as shown in the figure. If Dh=12.0cm and Dv=6.0cm, what is the magnitude and direction of the magnetic field at A? Figure: http://i41.tinypic.com/4louv6.jpg"

Homework Equations


B=(Mu)(I)/(2pie)(r)

The Attempt at a Solution


B = [(4pie x 10^-7 Tm/A)(3.4A)]/(2pie) x (1/6.0cm - 1/12.0cm)
B = 5.7 x 10^-8 T out of page

Would someone be able to please check if that is the correct answer? Thank you!
 
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  • #2
hardwork said:
B = [(4pie x 10^-7 Tm/A)(3.4A)]/(2pie) x (1/6.0cm - 1/12.0cm)
B = 5.7 x 10^-8 T out of page
Almost. Express those distances in standard units.
 
  • #3
Oh, right. Thank you!

B = 5.7 x 10^-6 T out of page
 
  • #4
hardwork said:
B = 5.7 x 10^-6 T out of page
Good!
 

Related to Magnitude and Direction of Magnetic Field

1. What is the difference between magnitude and direction of magnetic field?

The magnitude of a magnetic field refers to the strength or intensity of the field, while the direction of the magnetic field refers to the orientation or alignment of the field lines. In other words, magnitude is a measurement of how much force the magnetic field exerts, while direction indicates the path or flow of the field.

2. How is the magnitude of a magnetic field measured?

The magnitude of a magnetic field is typically measured using a device called a magnetometer. This instrument detects the strength of the field by measuring the amount of deflection it creates in a compass needle or a charged particle. The unit of measurement for magnetic field strength is the Tesla (T) or Gauss (G).

3. What factors affect the magnitude of a magnetic field?

The magnitude of a magnetic field can be affected by several factors, including the number of magnetic field lines, the distance from the source of the field, and the strength of the current or charge producing the field. Additionally, the type of material the field is passing through can also have an impact on its strength.

4. How is the direction of a magnetic field determined?

The direction of a magnetic field can be determined by using a device called a compass. The needle of a compass aligns itself with the direction of the magnetic field, pointing towards the magnetic north pole. Additionally, the direction of a magnetic field can also be determined by using the right-hand rule, which states that if you point your thumb in the direction of the current, the direction of the magnetic field will be in the direction of your curled fingers.

5. What is the significance of the magnitude and direction of a magnetic field?

The magnitude and direction of a magnetic field are important because they play a crucial role in many everyday technologies and devices. They are used in electric motors, generators, MRI machines, and many other applications. Additionally, understanding the magnitude and direction of magnetic fields is essential in studying the behavior and interactions of charged particles and their impact on our planet.

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