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A physicist performing a sensitive measurement wants to limit the magnetic force on a moving charge in her equipment to less than 1.00 x 10 -12 N. What is the greatest the charge can be if it moves at a maximum speed of 30.0 m/s in the Earth’s field? You may assume the Earth’s magnetic field is 5.00 x 10 -5 T.

Respuesta :

Answer:

Maximum charge will be [tex]6.66\times 10^{-9}C[/tex]

Explanation:

We have given force ion the moving charge [tex]F=10^{-12}N[/tex]

Maximum speed of the moving charge v = 30 m /sec

Magnetic field [tex]B=5\times 10^{-5}T[/tex]

We have to fond the charge

Force on moving charge is given by

[tex]F=qvB[/tex]

So [tex]10^{-12}=q\times 30\times 5\times 10^{-5}[/tex]

[tex]q=6.66\times 10^{-9}C[/tex]

Maximum charge will be [tex]6.66\times 10^{-9}C[/tex]