I used the right hand rule and found that each wire's magnetic field points out of the paper. Thus, the superposition of magnetic fields at point P will have to cancel each other.BvU said:Hello @Silver2007 ,
In your 'like this' picture the currents in the wires are parallel. But in your exercise they are not -- check for each of the two wires whether the B field points into or out of the paper
[edit] and your video continues with the case where one of the currents is in opposite direction. But I'm getting swamped with commercials, so I'm not going to look at it in deetail
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The magnetic field points out of the paper for each wire. That's correct. But no, they do not cancel.Silver2007 said:
Why don't they cancel each other out? Can you explain in more detail? Thanks.SammyS said:
If both vectors point out of the paper, then it is impossible for them to cancel. For there to be a cancellation one would have to point out of and the other into the paper.Silver2007 said:
The magnetic field around a straight current-carrying wire forms concentric circles centered on the wire. The direction of the magnetic field can be determined using the right-hand rule: if you point the thumb of your right hand in the direction of the current, the curl of your fingers shows the direction of the magnetic field lines.
The strength of the magnetic field (B) at a distance (r) from a long, straight current-carrying wire is given by the formula B = (μ₀I)/(2πr), where μ₀ is the permeability of free space (4π x 10⁻⁷ T·m/A), I is the current in the wire, and r is the radial distance from the wire.
The magnetic field produced by a current-carrying wire is affected by the magnitude of the current (I) flowing through the wire and the distance (r) from the wire. The field strength increases with increasing current and decreases with increasing distance from the wire.
The magnetic field of a loop of wire is more complex than that of a straight wire. Inside the loop, the magnetic field lines are nearly uniform and perpendicular to the plane of the loop, while outside the loop, the field lines spread out and their strength diminishes. The field at the center of a circular loop of radius R carrying current I is given by B = (μ₀I)/(2R).
The magnetic field due to a current-carrying wire can be shielded using materials with high magnetic permeability, such as mu-metal. These materials can redirect the magnetic field lines, effectively reducing the field in the shielded region. However, perfect shielding is not possible, and some residual magnetic field may still be present.