Magnitude and direction of the total magnetic field these charges produce at point P, which is 8.65 nm from each charge is 1.387 X 10⁻¹² T.
Magnetic field of moving charged particles.
B= (μ₀/4π) (q[v₁r]/r³)
Suppose that an alpha particle flies to the right, and an electron to the left, then the field of the alpha particles and the electron will be directed in the “to us” direction and the total magnetic mole will be the sum.
B(total) = (μ₀/4π) (qα[vα.r]/r³) + (μ₀/4π) (qe[ve.r]/r³)
= (μ₀/4π) (v/r²)(|qα| + |qe|)
= ((4π X 10⁻⁷)/4π) (2.5 X 10⁵/8.65 X 10⁻⁹) (3 X 1.6 X 10⁻¹⁹)
= 1.387 X 10⁻¹² T
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