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In mathematics and physics, the right-hand rule is a common mnemonic for understanding orientation of axes in three-dimensional space. Most of the various.
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Now if you observe the direction of the current, force and magnetic field in the above explanation, you will find that the directions are according to the Fleming left-hand rule. If this conductor gets forcefully moved inside the magnetic field, there will be a relation between the direction of applied force, magnetic field and the current.

The left and right hand thumb rules were founded by John Ambrose Fleming in the late 19 th century. John discovered both of these rules and named them after himself. Electrical4U is dedicated to the teaching and sharing of all things related to electrical and electronics engineering. June 2, February 24, by Electrical4U. John Ambrose Fleming.


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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Why are there two rules: Fleming's left hand and right hand rules?

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What is the difference between the two and why can't we use just one rule? Suppose the magnetic field is from right to left and the motion of the wire is downwards then according to the right hand rule the induced current will be in the straight direction. But if we use the left hand rule in this same situation to find the direction of motion of wire then it shows that the direction of wire is upwards.

Let's pull them apart:. Image source. This rule applies to motors , i. This is why this rule coincides with the left-hand rule used in cross-products in general. It applies to generators , i. This again relies on the cross product in the Lorentz force, except that now the charge's velocity is given by the object's motion, and the force along the wire is what establishes the current.

Fleming's left hand rule and right hand rule | leondumoulin.nl

This means you've swapped the middle finger with the thumb with respect to Fleming's left-hand rule, which you can do by keeping the vague assignments to 'motion' and 'current' and switching hands. I dislike this convention very much and I would encourage you to forget all about it except the fact that it exists and should be avoided. In any situation where you need it, you can simply use the Lorentz force to figure out which way the current will go. As you can see, the rules are quite different.

There should be only one way for your fingers to curl in a way that this is possible, as your finger bones don't bend backwards. Turn the cap in the direction so that [;A;] is lined up with [;B;]. The direction of the cap tells you the direction of [; C ;].

The problem you're having is that cross products are, fundamentally, not vectors. In three dimensions, they have three components like vectors, but different symmetry properties.


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Cross products are objects that relate two different directions to each other. In three dimensions, if you specify two dimensions, that leaves one left over -- so we treat the cross product as pointing in that third direction perpendicular to the plane defined by the two things being crossed.

Magnetic effects of currents and the motor effect

The reason for the sign ambiguity comes from how you pick the numbers to use for your fake vector thingie. In three dimensions, that leaves three unique numbers -- but which three do you pick? The top ones? Or the bottom ones? Either set works just fine to represent the full contents of the 3x3 matrix.

Fleming's right-hand rule

The right-hand rule tells you which branch to use. Incidentally, cross products only work "correctly" in 3D. An antisymmetric 2x2 matrix has only one independent number in it, which is why there's only one way to rotate in 2D. An antisymmetric 4x4 matrix has six independent numbers, so you can't represent 4D rotations with a 4-vector -- it doesn't have enough degrees of freedom. Yep, the right hand rule is kind of crap when it comes to these applications. For that reason our physics teacher never taught us it. Instead we learned this method:.

Curl your fingers, and those are the field lines it produces. This way you'll never get it wrong when trying to determine the direction of the force of a particle in a magnetic field. Here the particle is positive, so the thumb is in the forward direction. The external magnetic field is directed into the screen.

Right Hand Rule: Don't hurt yourself

So the field lines produced by the particle cancel out with the external field lines in an upwards direction, and that's where you'll get your force. Use of this site constitutes acceptance of our User Agreement and Privacy Policy. All rights reserved.