Answer to Question #208806 in Physics for Day

Question

A point charge q=5nC

q=5nC is moving in the x-y plane with velocity v

⃗ 

=(1.1×10

8

m/s)i

^

+(1.2×10

8

m/s)j

^

v→=(1.1×108m/s)i^+(1.2×108m/s)j^ through a magnetic field B

⃗ 

=(1.2T)i

^

+(2.7T)k

^

B→=(1.2T)i^+(2.7T)k^. What is the magnitude of the magnetic force on q

q (in Newtons)? Only give the numerical value.

Answer 1

$\vec F=q[\vec v,\vec B]=1.62\vec i\ -\ 1.485\vec j\ -\ 0.72\vec k$

$|\vec F|=\sqrt{1.62^2+1.485^2+0.72^2}=2.31\ (N)$