L> Magnetic field of a present LoopMagnetic field of current Loop
evaluating the direction of the magnetic field developed by a current-carrying segment of wire mirrors that all components of the loop contribute magnetic field in the exact same direction within the loop.
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Electric present in a circular loop create a magnetic field which is an ext concentrated in the center of the loop than outside the loop. Stacking many loops concentrates the field even more into what is called a solenoid.

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Field in ~ centerField top top axis
IndexMagnetic field conceptsCurrents as magnetic sources
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Go BackField at facility of present Loop
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The kind of the magnetic ar from a current element in the Biot-Savart legislation becomes

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which in this situation simplifies greatly since the edge =90 ° for all points along the path and also the distance to the field suggest is constant. The integral becomes

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function sq(x)return 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)function display(x)xx=x;if(x.99*Math.pow(10,5))xx="...";return xxfunction def()fh=document.forms<0>;if (fh.i.value==0)fh.i.value=1;if (fh.r.value==0)fh.r.value=.1function sn(b,p)return b*Math.pow(10,p)function snp(x)return Math.round(Math.log(x)/Math.LN10)function snb(x)return x/Math.pow(10,snp(x))function svb(b,p)n=sn(b,p);return snb(n)function svp(b,p)n=sn(b,p);return snp(n)function snbv(x){if(x
For a present I = Amperes and
loop radius R= m, the magnetic ar at the facility of the loop is
B = x 10^ Tesla = Gauss.

At a street z = m out follow me the centerline the the loop, the axial magnetic ar is

B = x 10^ Tesla = Gauss.

The current used in the calculation over is the full current, so because that a coil the N turns, the current used is Ni where i is the existing supplied come the coil.

The Earth"s magnetic field at the surface is about 0.5 Gauss.

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Go BackField on Axis of existing Loop
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Show geometric details

The applications of the Biot-Savart law on the centerline of a existing loop requires integrating the z-component.


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The symmetry is such the all the state in this aspect are constant except the distance aspect dL , i beg your pardon when incorporated just provides the circumference of the circle. The magnetic field is then

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Calculation

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Discussion of existing loopIndexMagnetic ar conceptsCurrents together magnetic sources
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