mass of the particle, m=11.9g
charge q=89.4 uC
acceleration, a=-9.8 j m/sec^2
velocity of the partivle, V=23.6 i km/sec
===>
use,
F=q*(VXB)
m*a =89.4*10^-6*(vx i+ Vy j+ Vz k)X((Bx)i+(By)j+(Bz)k)
11.9*10^-3*(-9.8)j=89.4*10^-6*(23.6*10^3i+0j+0k)X((Bx)i+(By)j+(Bz)k)
11.9*10^-3*(-9.8)j=89.4*10^-6*((23.6*10^3By)k-(23.6*Bz)j)
11.9*10^-3*(-9.8)j=(89.4*10^-6)*(23.6*10^3By)k-
(89.4*10^-6)*(23.6*10^3Bz)j
===>
comparing both sides,
Bx=0,
-(89.4*10^-6)*(23.6*10^3*Bz)= 11.9*10^-3*(-9.8)
(89.4*10^-6)*(23.6*10^3*Bz)= 11.9*9.8*10^-3
==> Bz=0.055 T
By=0
====>
magnetic field, B=(Bx)i+(By)j+(Bz)k
B=0i+0j+(0.055)k T
A particle of mass 11.9 g and charge 89.4 muC moves through a uniform magnetic field,...
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