Magnetic Field Strength & Direction at Points 1-3

In summary, the magnetic field strength and direction at points 1 to 3 in the figure can be determined using the right hand clasp rule. At point 1, the field is coming out of the paper due to the top wire and going into the paper due to the bottom wire. At point 2, the field is equal to 0 since it is between two wires with opposite currents. At point 3, the field is going into the paper due to the top wire and coming out of the paper due to the bottom wire. The direction of the field can be determined using the right hand clasp rule and the value of the current does not affect the direction of the field.
  • #1
cemar.
41
0
1. What are the magnetic field strength and direction at points 1 to 3 in the figure?
Okay, sorry, once again i don't know how to get the picture up here so ill describe it!
There are 2 long wires 4 cm apart, the one on top with a current of 10 A in the positive x direction and the one on the bottom with a current of 10 A in the negative x direction.
Point 1 is 2cm above the top wire.
Point 2 in directly in between the two wires.
Point 3 is 2cm underneath the bottom wire.


Homework Equations


Okay so here I am thinking something along the lines of that B = (u0/4pi)(Is 'r-hat'/r^2)
or maybe i found this equation in my notes that could be helpful and my gut says its the better bet
B = (u0I)/(2pid)


The Attempt at a Solution


Point 1 : (u0*10A)/(2pi*0.02m)
Point 2 : since it is inbetween two wires with opposite currents, so opposite fields (?) my guess is that it is equal to 0?
Point 3 : the opposite of point 1

Im also curious as to whether we assign a negative or positive value to the current??
And also would the bottom wire have an effect on the magnetic field at point 1??
 
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  • #2
You have to decide the direction of the field by right hand clasp rule. Accordingly the field at point 1 due to top wire is coming out of the paper at a distance 2 cm from the wire and field due to bottom wire is going into the paper at a distance 6 cm from this wire. Apply the same rule to the other points.
 
  • #3


The magnetic field strength and direction at points 1 to 3 can be calculated using the right-hand rule and the equations you have mentioned. At point 1, the magnetic field is directed towards the left (negative x direction) due to the current in the top wire. The strength of the magnetic field can be calculated using the equation B = (u0I)/(2pi*r) where I is the current in the wire, r is the distance from the wire, and u0 is the permeability of free space. So at point 1, the magnetic field strength would be B = (4pi*10 A)/(2pi*0.02 m) = 200 uT (microtesla) towards the left.

At point 2, the magnetic field would be cancelled out due to the opposite currents in the two wires. So the magnetic field strength would be zero.

At point 3, the magnetic field would be directed towards the right (positive x direction) due to the current in the bottom wire. The strength of the magnetic field can be calculated using the same equation as before, B = (u0I)/(2pi*r), but with a negative sign since the current is in the opposite direction. So at point 3, the magnetic field strength would be B = -(4pi*10 A)/(2pi*0.02 m) = -200 uT towards the right.

As for assigning a positive or negative value to the current, it depends on the direction of the current flow. In this case, the current in the top wire is in the positive x direction, so it would have a positive value. The current in the bottom wire is in the negative x direction, so it would have a negative value.

The bottom wire would have an effect on the magnetic field at point 1, as the magnetic field lines from both wires would interact and create a resultant magnetic field at that point. This can be seen in the equation B = (u0I)/(2pi*r) where r is the distance from the wire. So the magnetic field at point 1 would be affected by both wires.
 

Related to Magnetic Field Strength & Direction at Points 1-3

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

Magnetic field strength refers to the amount of force exerted by a magnetic field, while direction refers to the orientation of the magnetic field lines.

2. How is magnetic field strength measured?

Magnetic field strength is typically measured in units of Tesla (T) using a magnetometer, which is a device that can detect and measure the strength of a magnetic field.

3. What factors affect the magnetic field strength at a point?

The magnetic field strength at a point is affected by the distance from the source of the magnetic field, the strength of the magnetic field source, and the orientation of the magnetic field lines.

4. How can the direction of a magnetic field be determined at a point?

The direction of a magnetic field can be determined using a compass or a magnetometer. The direction is indicated by the orientation of the needle or sensor in relation to the north and south poles of the magnet.

5. How does the magnetic field strength and direction change at different points in a magnetic field?

The magnetic field strength and direction can vary at different points in a magnetic field due to the influence of nearby magnetic sources or changes in the orientation of the magnetic field lines. Additionally, the strength and direction may also change with distance from the source of the magnetic field.

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