91影视

Amp猫re's invention is essentially a long, protracted wire that transmits an electrical current. A little low compass needle prints out a sequence of concentric circular loops within the plane perpendicular to an electrical conductor wire, Amp猫re expertise in the areas.

The moving charge is polarized by the field, which is depending on the speed vector. The flux increases as the angle between the speed and the magnetic field increases. Equation gives the magnetic attraction.

$\stackrel{鈫�}{F}=q\stackrel{鈫�}{v}脳\stackrel{鈫�}{B}$

Where $q$is the charge. The angle between the velocity and the magnetic field is $45掳$in the $xz$plane

$\stackrel{鈫�}{v}=$$\left(1脳{10}^7\mathrm{m}/\mathrm{s}\right)\cos 鈦�{45}^{鈭�}$$\hat{i}$$+\left(1脳{10}^7\mathrm{m}/\mathrm{s}\right)\sin 45掳$$\hat{k}$

The field of force has component $\stackrel{鈫�}{B}=0.50\hat{i}\mathrm{T}$, so we plug the values for $\stackrel{鈫�}{B},q$and $\stackrel{鈫�}{v}$into equation to induce $\stackrel{鈫�}{F}$where $(\hat{i}脳\hat{i})=0$

$\stackrel{鈫�}{F}=q\stackrel{鈫�}{v}脳\stackrel{鈫�}{B}$

$=\left(1.6脳{10}^{-19}\mathrm{C}\right)\left[\left(1脳{10}^7\mathrm{m}/\mathrm{s}\right)\cos 45掳\hat{i}+\right.$$\left.\left.\left(1脳{10}^7\mathrm{m}/\mathrm{s}\right)\sin 45掳\hat{k}\right)脳(0.50\hat{i}\mathrm{T})\right]$

$=$$\left(1.6脳{10}^{-19}\mathrm{C}\right)\left(0.5脳{10}^7\sin 45掳\right.$$(\hat{k}脳\hat{i}))$

$=0.56脳{10}^{-12}\hat{j}\mathrm{N}$

The angle between the rate and also the field is $90掳$but its direction is within the negative $y$-direction so therefore the velocity vector is

$\stackrel{鈫�}{v}=\left(-1脳{10}^7\mathrm{m}/\mathrm{s}\right)\hat{j}$

The magnetic flux has component $\stackrel{鈫�}{B}=0.50\hat{i}\mathrm{T}$, so we plug the values for $\stackrel{鈫�}{B},q$and $\stackrel{鈫�}{v}$into equation to induce$\stackrel{鈫�}{F}$where $(\hat{j}脳\hat{i})=-\hat{k}$

$\stackrel{鈫�}{F}=q\stackrel{鈫�}{v}脳\stackrel{鈫�}{B}$

$=\left(1.6脳{10}^{鈭�19}\mathrm{C}\right)$$\left[\left(鈭�1脳{10}^7\mathrm{m}/\mathrm{s}\right)\right.$$\hat{j}$$脳(0.50\hat{i}\mathrm{T})]$

$=\left(1.6脳{10}^{-19}\mathrm{C}\right)\left[-0.5脳{10}^7\right.$$(\hat{j}脳\hat{i})]$

$=8脳{10}^{-13}\hat{k}\mathrm{N}$