(a) Suppose a 3.2 m straight wire carrying a current of 2.2 A is placed in this

Question

(a) Suppose a 3.2 m straight wire carrying a current of 2.2 A is placed in this magnetic field at an angle of 75 to the field lines. What force does this wire experience?
_____ N

max force on electron force of proton on electron = 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 pulsars), and its magnetic field is 1.3 X 1015 times greater than the Earth's magnetic field. (a) Suppose a 3.2 m straight wire carrying a current of 2.2 A is placed in this magnetic field at an angle of 75 to the field lines. What force does this wire experience? _____ N (b) A field this strong can significantly change the behavior of an atom. To see this, consider an electron moving with a speed of3.5 X 106 m/s. Compare the maximum magnetic force exerted on the electron to the electric force a proton exerts on an electron in a hydrogen atom. The radius of the hydrogen atom is 5.29 X 10-11 m.

Explanation / Answer

The earths magnetic field is B = 65 micro T = 65*10^ -6 T

The magnetic field is B = ( 1.3*10^ 15 ) ( 65*10^ -6 T ) = 8.45*10^10 T

Magnetic force on current carrying straight wire

        B = I B L sin ( theta )   = ( 2.2 A) (8.45*10^ 10 T ) ( 3.2 m ) sin 75 = 5.746*10^11 N

b)

Magnetic force on electron is

          F = B q V = ( 8.45*10^ 10 T ) ( 1.6*10^-19 C ) ( 3.5*10^ 6 m/s) = 0.047 N

Electric force on electron by the proton in hydrogen atom is

       F_E = k q^2 / r  

               = ( 9*10^9 Nm^2 /C^2 ) ( 1.6*10^ -19 C) ^2 / (5.29*10^-11 m )^2   = 8.233*10^-8 N

ratio

F /F_E   = 0.047 / ( 8.233*10^ -8 N )   =5.708*10^ 5

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