The astronomical object 4U0142+ 61 has the distinction of creating the most powe

Question

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 1.8 m straight wire carrying a current of 1.0 A is placed in this magnetic field at an angle of 75° to the field lines. What force does this wire experience? 1.13e11 N (b) A field this strong can significantly change the behavior of an atom. To see this, consider an electron moving with a speed of 2.4 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. max force or force of proton on electron

Explanation / Answer

a) Force is F = B*i*L*sin(theta)

B = 1.3*10^15*50*10^-6

F = 1.3*10^15*50*10^-6*1*1.8*sin(75)

F = 1.13e11 N

b) Max Force on electron is F = q*v*B = 1.6*10^-19*2.4*10^6*1.3*10^15*50*10^-6 = 0.02496 N

Force of proton on electron = ke*q1*q2/r^2 = (9*10^9*1.6*10^-19*1.6*10^-19)/(5.29*10^-11)^2 = 8.23*10^-8 N

max force on electron / Force of proton on electron = 0.02496/(8.23*10^-8) = 303280.6

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