Answer to Question #196033 in Electric Circuits for Kenma

Question

An oxygen-16 ion with a mass of 2.66 × 10⁻²⁶ kg travels at 7.33 × 10⁶ m/s perpendicular to a 7.23 – T magnetic field, which makes it move in a circular arc with a 0.652-m radius. What positive charge (in x10^-19) is on the ion? 

answer to 2 decimal places

Answer 1

$F=ma=qvB \space and \space a =\frac{v^2}{r}$

$qvB=\frac{mv^2}{r}$

$q=\frac{mv}{rB}=\frac{(2.66\times 10^{-26}\times 7.33\times 10^6)}{(0.652\times 7.23)}=4.14\times10^{-20}C$