Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a 0.650 µC charge and flies due west at a speed of 540 m/s over the Earth's south magnetic pole, where the 8.00 ✕ 10−5 T magnetic field points straight up. What are the magnitude (in N) and direction of the magnetic force on the plane?

Respuesta :

Answer : [tex]F=2808\times 10^{-11}\ N[/tex]

Explanation :

It is given that,

Charge, [tex]q=0.650\ \mu C=0.65\times 10^{-6}\ C[/tex]

Velocity of Aircraft, [tex]v=540\ m/s[/tex]  (in west)

Magnetic field, [tex]B=8 \times 10^{-5}\ T[/tex] ( in north )

Using the relation as :

[tex]F=q(v\times B)[/tex]

Magnetic force is ,

[tex]F=0.65\times 10^{-6}\ C\times 540\ m/s\times 8 \times 10^{-5}\ T[/tex]

[tex]F=2808\times 10^{-11}\ N[/tex]

Using Right hand thumb rule, the direction of force is in the plane perpendicular to the velocity and the magnetic field i.e. [tex]-\hat{k}[/tex].