L> Magnetic Field of a Current LoopMagnetic Field of Current Loop
Analyzing the direction of the magnetic field developed by a current-moving segment of wire shows that all parts of the loop add magnetic field in the very same direction inside the loop.
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Electric current in a circular loop creates a magnetic field which is more focused in the center of the loop than external the loop. Stacking multiple loops concentrates the field also more right into what is called a solenoid.

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Field at centerField on axis
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 The develop of the magnetic field from a present facet in the Biot-Savart regulation becomes

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which in this instance simplifies significantly bereason the angle =90 ° for all points along the path and the distance to the field allude is consistent. The integral becomes

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attribute sq(x)rerotate x*xfunction bcal()fh=document.forms<0>;def();ii=fh.i.value;rr=fh.r.value;zz=fh.z.value;bb2=2*Math.PI*Math.pow(10,-7)*ii*sq(rr)/Math.pow(sq(rr)-(-1)*sq(zz),1.5);bb=2*Math.PI*Math.pow(10,-7)*ii/rr;fh.bt.value=snb(bb);fh.btp.value=snp(bb);fh.bg.value=display(bb*10000);fh.bt2.value=snb(bb2);fh.bt2p.value=snp(bb2);fh.bg2.value=display(bb2*10000)feature display(x)xx=x;if(x.99*Math.pow(10,5))xx="...";rerotate xxfunction def()fh=record.forms<0>;if (fh.i.value==0)fh.i.value=1;if (fh.r.value==0)fh.r.value=.1attribute sn(b,p)rerevolve b*Math.pow(10,p)attribute snp(x)return Math.round(Math.log(x)/Math.LN10)feature snb(x)return x/Math.pow(10,snp(x))feature svb(b,p)n=sn(b,p);return snb(n)function svp(b,p)n=sn(b,p);return snp(n)feature snbv(x){if(x
For a current I = Amperes and
loop radius R= m, the magnetic area at the center of the loop is
B = x 10^ Tesla = Gauss.

At a distance z = m out alengthy the centerline of the loop, the axial magnetic field is

B = x 10^ Tesla = Gauss.

The existing used in the calculation over is the complete current, so for a coil of N transforms, the current supplied is Ni wright here i is the existing offered to the coil.

The Earth"s magnetic area at the surface is around 0.5 Gauss.

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Show geometric details

The application of the Biot-Savart law on the centerline of a current loop involves integrating the z-component.


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The symmetry is such that all the terms in this aspect are constant except the distance facet dL , which when included just provides the circumference of the circle. The magnetic area is then

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Calculation

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