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A-solenoid-is-40cm-long-has-a-cross-sectional-area-of-8-0cm-2-and-is-wound-with-309-turns-of-wire-that-carries-a-current-of-1-2A-The-relative-permeability-of-the-iron-core-is-600-Compute-the-B-for-t




Question Number 63124 by necx1 last updated on 29/Jun/19
A solenoid is 40cm long,has a cross  sectional area of 8.0cm^2  and is wound  with 309 turns of wire that carries a  current of 1.2A.The relative  permeability of the iron core is 600.  Compute the B for the interior point  and the flux through the solenoid.
$${A}\:{solenoid}\:{is}\:\mathrm{40}{cm}\:{long},{has}\:{a}\:{cross} \\ $$$${sectional}\:{area}\:{of}\:\mathrm{8}.\mathrm{0}{cm}^{\mathrm{2}} \:{and}\:{is}\:{wound} \\ $$$${with}\:\mathrm{309}\:{turns}\:{of}\:{wire}\:{that}\:{carries}\:{a} \\ $$$${current}\:{of}\:\mathrm{1}.\mathrm{2}{A}.{The}\:{relative} \\ $$$${permeability}\:{of}\:{the}\:{iron}\:{core}\:{is}\:\mathrm{600}. \\ $$$${Compute}\:{the}\:\boldsymbol{{B}}\:{for}\:{the}\:{interior}\:{point} \\ $$$${and}\:{the}\:{flux}\:{through}\:{the}\:{solenoid}. \\ $$
Commented by necx1 last updated on 29/Jun/19
please help
$${please}\:{help} \\ $$
Commented by Hope last updated on 29/Jun/19
Commented by Hope last updated on 29/Jun/19
Commented by Hope last updated on 29/Jun/19
Commented by Hope last updated on 29/Jun/19
Answered by peter frank last updated on 30/Jun/19
flux=A(in meter))×B.......(i)  B=μ_m nI  n=(N/(L(meter)))........(ii)  μ_r (relative permeability)=(μ_m /μ_o ).......(iii)  μ_m =μ_r ×μ_o (absolute p)
$$\left.{flux}={A}\left({in}\:{meter}\right)\right)×{B}…….\left({i}\right) \\ $$$${B}=\mu_{{m}} {nI} \\ $$$${n}=\frac{{N}}{{L}\left({meter}\right)}……..\left({ii}\right) \\ $$$$\mu_{{r}} \left({relative}\:{permeability}\right)=\frac{\mu_{{m}} }{\mu_{{o}} }…….\left({iii}\right) \\ $$$$\mu_{{m}} =\mu_{{r}} ×\mu_{{o}} \left({absolute}\:{p}\right) \\ $$$$ \\ $$

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