Safari File Edit View Show My Work The astronomical object 4U0142+61 has the dis

Question

Safari File Edit View Show My Work The astronomical object 4U0142+61 has the distinction of creating the most powerful magnetic field ever observed. This object is referred to as "magnetar (a subclass of puisars), and its magneti feld is 1.3 x 1015 times greater than the Earth's magnetic feld a) Suppose 2,2 m stra wee carrying a current of 2.1Aisplaced in this magnetic field at an angle of 75° to the feld anes, what force does this wire gxperience? (b) A field this strong can significantly change the behavior of an atom To see this, consider an electron moving with a speed of 3.0 x 106 m/s. Compare the maximum magnetic force exerted on the electron to the electric farce a proton exerts on an electron in a hydrogen atom. The radius of the hydrogen acom is 5.29 x 10l m. your calculations Show My Work

Explanation / Answer

According to the concept of the moving charges in magnetic field

Force F=Bqv*sin(theta)

Given that

Magnetic field B=1.3*10^15*Bh=1.3*10^15*5*10^-5=6.5*10^10T

Charge q=1.6*10^-19 C

Velocity of the electron v=3*10^6 m/s

Now we find the maximum force on the electron

Fmax=BqV=6.5*10^10*1.6*10^-19*3*10^6

=31.2*10^-3N

Now we find the force of attraction between electron and photon

F=kq1q2/r^2

F=9*10^9*1.6*10^-19*1.6*10^-19/(5.29*10^-11)^2

=0.823*10^-7N

=8.23*10^-8 N

Fmax/F=31.2*10^-3/8.23*10^-10=3.8*10^7

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