Question

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.

Answer 1

Answer:

Maximum charge will be $6.66\times 10^{-9}C$

Explanation:

We have given force ion the moving charge $F=10^{-12}N$

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

Magnetic field $B=5\times 10^{-5}T$

We have to fond the charge

Force on moving charge is given by

$F=qvB$

So $10^{-12}=q\times 30\times 5\times 10^{-5}$

$q=6.66\times 10^{-9}C$

Maximum charge will be $6.66\times 10^{-9}C$