An alpha particle (charge +2e) and an electron move in opposite directions from the same point, each with the speed of 2.80×10^5 m/s . Find the total magnetic field these charges produce at point P, which is 8.25 nm from each charge. μ0=4πx10^-7 H/m, 1nm= 10^-9 m.

Explanation:

Magnetic field due to moving charge =

q is charge moving with velocity v and r is distance from point at which field is calculated .

For alpha particle

= 0.1316 x 10⁻³ T

For electron

= .0658 x 10⁻³ T .

Both these magnetic field will be same in direction because direction of equivalent current is same for both the particles .

Hence

Total magnetic field

= B₁ + B₂ = .1974 x 10⁻³

= 1.974 x 10⁻⁴ T .

The total magnetic field produced by these charges at the given point is 1.98 x 10⁻⁴ T.

The given parameters;

The magnetic field produced by each charge is calculated using Biot-Savart law;

The total magnetic field produced by these charges at the given point P;

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